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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 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 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 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 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 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 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 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 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 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 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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nGreen Green Green Green Green Green Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nGreen Green Green Green Green Green Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nGreen Green Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nGreen Green Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Green Green Green Green Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Green Green Green Green Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Green Green Green Green Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Green Green Green Green Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow\nBrown Green Yellow Red\nBrown Green Orange Gray\nPurple Purple Orange Orange\n\nOutput:\nPurple Brown Brown Yellow Yellow Yellow Yellow Yellow\nPurple Green Green Yellow Brown Green Yellow Red\nOrange Orange Yellow Yellow Brown Green Orange Gray\nOrange Gray Red Yellow Purple Purple Orange Orange\n\n\nExample 2\nInput:\nPink Pink Blue Purple Orange\nYellow Pink Blue Brown Purple\nGreen Green Green Yellow Gray\nYellow Gray Brown Orange Gray\nYellow Gray Brown Brown Red\n\nOutput:\nYellow Yellow Green Yellow Pink Pink Pink Blue Purple Orange\nGray Gray Green Pink Pink Yellow Pink Blue Brown Purple\nBrown Brown Green Blue Blue Green Green Green Yellow Gray\nBrown Orange Yellow Brown Purple Yellow Gray Brown Orange Gray\nRed Gray Gray Purple Orange Yellow Gray Brown Brown Red\n\n\nExample 3\nInput:\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\nOutput:\nOrange Purple Red Gray Pink Pink Gray Yellow Brown Gray\nBrown Brown Red Blue Gray Gray Blue Red Gray Gray\nPurple Brown Red Red Yellow Red Red Red Gray Blue\nOrange Orange Gray Gray Brown Purple Brown Brown Orange Blue\nOrange Blue Blue Gray Gray Orange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Pink Blue\nYellow Blue Blue\nPurple Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Yellow Red Red Pink Blue\nBlue Blue Pink Yellow Blue Blue\nPink Blue Blue Purple Blue Pink\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black\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\nBlack Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow 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\nBlack Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black\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\nBlack Black Black Black Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\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 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 Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink 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 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 Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink 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 Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black 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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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:\nBlue Red Pink Pink Yellow Purple Orange Orange\nBrown Brown Blue Pink Gray Red Orange Pink\nGray Red Green Purple Brown Orange Brown Yellow\nPink Brown Purple Gray Purple Orange Orange Pink\nBlue Red Brown Brown Brown Green Gray Brown\nBlue Purple Purple Blue Orange Orange Orange Purple\nYellow Purple Blue Purple Yellow Blue Blue Gray\nPurple Orange Yellow Purple Yellow Purple Pink Pink\nBlue Pink Red Yellow Green Green Gray Orange\nBlue Red Gray Yellow Orange Green Purple Brown\nOrange Orange Pink Gray Purple Green Orange Green\nPurple Brown Orange Yellow Gray Purple Yellow Green\n\nOutput:\nRed Red Pink Pink Green Purple Orange Orange\nBrown Brown Red Pink Gray Red Orange Pink\nGray Red Green Purple Brown Orange Brown Green\nPink Brown Purple Gray Purple Orange Orange Pink\nRed Red Brown Brown Brown Green Gray Brown\nRed Purple Purple Red Orange Orange Orange Purple\nGreen Purple Red Purple Green Red Red Gray\nPurple Orange Green Purple Green Purple Pink Pink\nRed Pink Red Green Green Green Gray Orange\nRed Red Gray Green Orange Green Purple Brown\nOrange Orange Pink Gray Purple Green Orange Green\nPurple Brown Orange Green Gray Purple Green Green\n\n\nExample 2\nInput:\nPink Pink Pink Orange Pink Brown Orange\nOrange Orange Blue Yellow Orange Blue Yellow\nOrange Red Purple Blue Blue Purple Blue\nBrown Pink Red Purple Orange Brown Red\nBrown Orange Purple Purple Brown Gray Green\nPurple Yellow Gray Pink Pink Brown Pink\nPurple Brown Pink Orange Green Brown Blue\nPurple Gray Gray Blue Green Purple Gray\nRed Gray Yellow Green Yellow Purple Red\nYellow Orange Purple Red Yellow Brown Orange\n\nOutput:\nPink Pink Pink Orange Pink Brown Orange\nOrange Orange Red Green Orange Red Green\nOrange Red Purple Red Red Purple Red\nBrown Pink Red Purple Orange Brown Red\nBrown Orange Purple Purple Brown Gray Green\nPurple Green Gray Pink Pink Brown Pink\nPurple Brown Pink Orange Green Brown Red\nPurple Gray Gray Red Green Purple Gray\nRed Gray Green Green Green Purple Red\nGreen Orange Purple Red Green Brown Orange\n\n\nExample 3\nInput:\nGray Yellow Orange Brown Green Gray Gray\nBlue Blue Purple Yellow Orange Pink Brown\nGreen Orange Red Brown Gray Blue Yellow\nBlue Yellow Brown Pink Red Purple Yellow\nGray Brown Green Blue Yellow Yellow Red\nPink Brown Blue Gray Pink Orange Green\nBrown Pink Green Green Purple Green Blue\nYellow Purple Yellow Gray Orange Purple Orange\nPink Blue Green Blue Gray Blue Purple\nPink Orange Blue Blue Pink Blue Pink\nPurple Green Yellow Purple Purple Brown Orange\n\nOutput:\nGray Green Orange Brown Green Gray Gray\nRed Red Purple Green Orange Pink Brown\nGreen Orange Red Brown Gray Red Green\nRed Green Brown Pink Red Purple Green\nGray Brown Green Red Green Green Red\nPink Brown Red Gray Pink Orange Green\nBrown Pink Green Green Purple Green Red\nGreen Purple Green Gray Orange Purple Orange\nPink Red Green Red Gray Red Purple\nPink Orange Red Red Pink Red Pink\nPurple Green Green Purple Purple Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nOrange Red Orange Purple Green Pink Brown Gray Green\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nRed Orange Blue Red Green Blue Pink Pink Blue\nYellow Blue Yellow Purple Green Orange Gray 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```\nGray Gray Purple Brown Green Red Pink Gray Pink\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nOrange Red Orange Purple Green Pink Brown Gray Green\nGreen Purple Brown Purple Gray Brown Green Pink Pink\nPurple Red Green Green Orange Red Red Brown Brown\nGreen Red Red Red Red Purple Orange Brown Gray\nPink Green Pink Green Pink Orange Orange Orange Brown\nRed Orange Red Red Green Red Pink Pink Red\nGreen Red Green Purple Green Orange Gray 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\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\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black\nPink Pink Pink 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 Black Black Black Black\nPink Pink Black Black Black Black Black\nPink Pink Black Black Black Black Black\nPink Pink 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\nPink Pink Black Black Black Black Black\nPink Pink Pink Black Black Black Black\nPink Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Purple Purple Orange Orange Orange Orange Yellow Yellow Orange Orange Orange Orange Purple Purple\nYellow Yellow Purple Purple Orange Orange Orange Orange Yellow Yellow Orange Orange Orange Orange Purple Purple\nRed Red Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Purple Purple\nRed Red Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Purple Purple\nGreen Green Gray Gray Pink Pink Purple Purple Green Green Red Red Pink Pink Yellow Yellow\nGreen Green Gray Gray Pink Pink Purple Purple Green Green Red Red Pink Pink Yellow Yellow\nGray Gray Green Green Orange Orange Brown Brown Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow\nGray Gray Green Green Orange Orange Brown Brown Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Green Green Green Green Orange Orange Purple Purple Brown Brown Yellow Yellow\nOrange Orange Yellow Yellow Green Green Green Green Orange Orange Purple Purple Brown Brown Yellow Yellow\nOrange Orange Orange Orange Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Purple Purple Yellow Yellow Purple Purple Orange Orange Orange Orange Yellow Yellow\nOrange Orange Orange Orange Purple Purple Yellow Yellow Purple Purple Orange Orange Orange Orange Yellow Yellow\nOrange Orange Orange Orange Pink Pink Yellow Yellow Purple Purple Red Red Pink Pink Orange Orange\nOrange Orange Orange Orange Pink Pink Yellow Yellow Purple Purple Red Red Pink Pink Orange Orange\nPink Pink Purple Purple Green Green Red Red Pink Pink Yellow Yellow Green Green Gray Gray\nPink Pink Purple Purple Green Green Red Red Pink Pink Yellow Yellow Green Green Gray Gray\nBrown Brown Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Gray Gray Green Green Orange Orange\nBrown Brown Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Gray Gray Green Green Orange Orange\nGreen Green Orange Orange Purple Purple Brown Brown Yellow Yellow Orange Orange Yellow Yellow Green Green\nGreen Green Orange Orange Purple Purple Brown Brown Yellow Yellow Orange Orange Yellow Yellow Green Green\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Blue Blue Blue Blue\nYellow Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Purple Purple Orange Orange Purple Purple Purple Purple Red Red Orange Orange\nGreen Green Purple Purple Orange Orange Purple Purple Purple Purple Red Red Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nPurple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown\nPurple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Gray Gray Gray Gray\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange\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\nPurple Purple Green Green Green Green Orange Orange Purple Purple Pink Pink Purple Purple\nPurple Purple Green Green Green Green Orange Orange Purple Purple Pink Pink Purple Purple\n\nOutput:\nPurple Purple Purple Purple Red Red Orange Orange Green Green Purple Purple Orange Orange\nPurple Purple Purple Purple Red Red Orange Orange Green Green Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue\nPurple Purple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nPurple Purple Blue Blue Orange Orange Blue Blue Purple Purple Blue Blue Blue Blue\nPurple Purple Blue Blue Orange Orange Blue Blue Purple Purple Blue Blue Blue Blue\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\nOrange Orange Purple Purple Pink Pink Purple Purple Purple Purple Green Green Green Green\nOrange Orange Purple Purple Pink Pink Purple Purple Purple Purple Green Green Green Green\n\n\nExample 3\nInput:\nYellow Yellow Orange Orange Gray Gray Brown Brown Brown Brown Green Green Gray Gray Blue Blue Purple Purple\nYellow Yellow Orange Orange Gray Gray Brown Brown Brown Brown Green Green Gray Gray Blue Blue Purple Purple\nBlue 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\nBrown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple Orange Orange Purple Purple\nBrown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple Orange Orange Purple Purple\nPink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Pink Pink Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Pink Pink Green Green\nPink Pink Purple Purple Pink Pink Brown Brown Green Green Pink Pink Green Green Brown Brown Brown Brown\nPink Pink Purple Purple Pink Pink Brown Brown Green Green Pink Pink Green Green Brown Brown Brown Brown\nGreen Green Yellow Yellow Gray Gray Green Green Green Green Pink Pink Yellow Yellow Green Green Green Green\nGreen Green Yellow Yellow Gray Gray Green Green Green Green Pink Pink Yellow Yellow Green Green Green Green\nBrown Brown Gray Gray Purple Purple Gray Gray Purple Purple Green Green Gray Gray Brown Brown Blue Blue\nBrown Brown Gray Gray Purple Purple Gray Gray Purple Purple Green Green Gray Gray Brown Brown Blue Blue\n\nOutput:\nGray Gray Brown Brown Brown Brown Green Green Gray Gray Blue Blue Purple Purple Yellow Yellow Orange Orange\nGray Gray Brown Brown Brown Brown Green Green Gray Gray Blue Blue Purple Purple Yellow Yellow Orange Orange\nBlue 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\nPurple Purple Orange Orange Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nPurple Purple Orange Orange Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nPink Pink Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink\nPink Pink Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink\nPink Pink Green Green Brown Brown Brown Brown Pink Pink Purple Purple Pink Pink Brown Brown Green Green\nPink Pink Green Green Brown Brown Brown Brown Pink Pink Purple Purple Pink Pink Brown Brown Green Green\nPink Pink Yellow Yellow Green Green Green Green Green Green Yellow Yellow Gray Gray Green Green Green Green\nPink Pink Yellow Yellow Green Green Green Green Green Green Yellow Yellow Gray Gray Green Green Green Green\nPurple Purple Green Green Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray Purple Purple Gray Gray\nPurple Purple Green Green Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray Purple Purple Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Red Red Green Green Blue Blue Orange Orange Orange Orange Gray Gray Blue Blue Brown Brown\nOrange Orange Red Red Green Green Blue Blue Orange Orange Orange Orange Gray Gray Blue Blue Brown Brown\nBlue 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\nBrown Brown Red Red Green Green Gray Gray Blue Blue Gray Gray Yellow Yellow Blue Blue Orange Orange\nBrown Brown Red Red Green Green Gray Gray Blue Blue Gray Gray Yellow Yellow Blue Blue Orange Orange\nRed Red Red Red Gray Gray Brown Brown Pink Pink Green Green Green Green Green Green Red Red\nRed Red Red Red Gray Gray Brown Brown Pink Pink Green Green Green Green Green Green Red Red\nYellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Purple Purple Purple Purple Pink Pink Yellow Yellow\nYellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Purple Purple Purple Purple Pink Pink Yellow Yellow\nOrange Orange Brown Brown Purple Purple Brown Brown Pink Pink Brown Brown Gray Gray Yellow Yellow Pink Pink\nOrange Orange Brown Brown Purple Purple Brown Brown Pink Pink Brown Brown Gray Gray Yellow Yellow Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue\nYellow Yellow Red Red Yellow Yellow Red Red Purple Purple Purple Purple Brown Brown Gray Gray Gray Gray\nYellow Yellow Red Red Yellow Yellow Red Red Purple Purple Purple Purple Brown Brown Gray Gray Gray Gray\nBlue Blue Red Red Purple Purple Blue Blue Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple\nBlue Blue Red Red Purple Purple Blue Blue Pink Pink Blue Blue Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Orange Orange Orange Orange Gray Gray Blue Blue Brown Brown Orange Orange Red Red Green Green\nBlue Blue Orange Orange Orange Orange Gray Gray Blue Blue Brown Brown Orange Orange Red Red Green Green\nBlue 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\nGreen Green Gray Gray Blue Blue Gray Gray Yellow Yellow Blue Blue Orange Orange Brown Brown Red Red\nGreen Green Gray Gray Blue Blue Gray Gray Yellow Yellow Blue Blue Orange Orange Brown Brown Red Red\nPink Pink Green Green Green Green Green Green Red Red Red Red Red Red Gray Gray Brown Brown\nPink Pink Green Green Green Green Green Green Red Red Red Red Red Red Gray Gray Brown Brown\nYellow Yellow Purple Purple Purple Purple Pink Pink Yellow Yellow Yellow Yellow Gray Gray Green Green Gray Gray\nYellow Yellow Purple Purple Purple Purple Pink Pink Yellow Yellow Yellow Yellow Gray Gray Green Green Gray Gray\nBrown Brown Pink Pink Brown Brown Gray Gray Yellow Yellow Pink Pink Orange Orange Brown Brown Purple Purple\nBrown Brown Pink Pink Brown Brown Gray Gray Yellow Yellow Pink Pink Orange Orange Brown Brown Purple Purple\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nPurple Purple Purple Purple Brown Brown Gray Gray Gray Gray Yellow Yellow Red Red Yellow Yellow Red Red\nPurple Purple Purple Purple Brown Brown Gray Gray Gray Gray Yellow Yellow Red Red Yellow Yellow Red Red\nBlue Blue Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple Blue Blue Pink Pink\nBlue Blue Purple Purple Purple Purple Purple Purple Blue Blue Red Red Purple Purple 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:\nBlack Black Black Black Black\nBlack Black Brown Black Black\nBlack Brown Blue Brown Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Brown Black Brown Black\nBrown Blue Brown Blue Brown\nBlack Brown Black Brown Black\nBrown Blue Brown Blue Brown\nBlack Brown Black Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Brown Brown Red Black\nBlack Black Brown Brown Black\nBlack Brown Brown Red Black\nBlack Black Black Black Black\n\nOutput:\nBrown Brown Red Brown Red\nBlack Brown Brown Brown Brown\nBrown Brown Red Brown Red\nBlack Brown Brown Brown Brown\nBrown Brown Red Brown Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Blue Red Purple Black\nBlack Blue Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlue Black Black Black Black\nBlue Red Purple Red Purple\nBlue Black Black Black Black\nBlue Red Purple Red Purple\nBlue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Brown Green Brown Black\nBlack Orange Green Orange Black\nBlack Green Black Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Green Brown Green Brown\nOrange Green Orange Green Orange\nBrown Green Brown Green Brown\nOrange Green Orange Green Orange\nGreen Black Green Black Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Purple Green Purple Black\nBlue Black Yellow Red Black\nBlack Orange Black Black Orange\nBrown Black Pink Brown Black\nBlue Gray Brown Green Black\n\nOutput:\nBlue Gray Brown Green Black\nBlue Gray Brown Green Black\nBlue Gray Brown Green Black\nBlue Gray Brown Green Black\nBlue Gray Brown Green Black\n\n\nExample 2\nInput:\nBlue Purple Blue Black Blue\nBlack Green Black Black Orange\nBrown Brown Purple Pink Orange\nBlack Red Brown Black Black\nGray Red Purple Black Black\n\nOutput:\nGray Red Purple Black Black\nGray Red Purple Black Black\nGray Red Purple Black Black\nGray Red Purple Black Black\nGray Red Purple Black Black\n\n\nExample 3\nInput:\nGray Black Black Brown Brown\nBlack Brown Gray Black Orange\nBlack Black Yellow Green Purple\nBlack Black Black Pink Gray\nBrown Red Green Black Black\n\nOutput:\nBrown Red Green Black Black\nBrown Red Green Black Black\nBrown Red Green Black Black\nBrown Red Green Black Black\nBrown Red Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Purple Black\nYellow Black Pink Black Blue\nBlack Black Orange Black Purple\nBlack Black Blue Black Gray\nYellow Orange Green Blue 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```\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Pink\nPink Black Black Black Black Black Yellow Yellow Yellow Yellow Pink\nPink Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Pink\nPink Black Yellow Yellow Black Black Black Black Yellow Yellow Pink\nPink Black Yellow Black Black Black Black Black Black Yellow Pink\nPink Black Yellow Black Black Black Black Black Black Black Pink\nPink Black Yellow Yellow Black Black Black Black Black Black Pink\nPink Yellow Yellow Yellow Black Black Black Black Black Black Pink\nPink Yellow Yellow Yellow Yellow Black Black Black Black Black Pink\nPink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink\nPink Black Black Black Black Yellow Yellow Yellow Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Red Red Red Black Black Red Red Red Red Black Black Yellow\nYellow Red Red Red Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Black Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Black Black Red Red Red Red Red Yellow\nYellow Red Red Red Red Black Black Red Red Red Red Red Yellow\nYellow Red Red Red Red Black Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Black Black Red Red Red Red Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Black Red Red Red Red Red Red Black\nBlack Red Red Red Red Black Black Red Red Red Red Red Black\nBlack Red Red Red Red Black Black Red Red Red Red Red Black\nBlack Red Red Red Red Black Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Pink Blue Black Blue Black Black Blue Black Blue Pink Black Brown\nBrown Pink Pink Blue Pink Blue Black Black Blue Pink Blue Pink Pink Brown\nBrown Blue Pink Blue Pink Black Black Black Black Pink Blue Pink Blue Brown\nBrown Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink Brown\nBrown Blue Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Brown\nBrown Blue Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Blue Brown\nBrown Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Brown\nBrown Blue Blue Pink Blue Blue Blue Blue Blue Blue Pink Blue Blue Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Blue Black Black Blue Black Blue Pink Black Black\nBlack Pink Pink Blue Pink Blue Black Black Blue Pink Blue Pink Pink Black\nBlack Blue Pink Blue Pink Black Black Black Black Pink Blue Pink Blue Black\nBlack Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink Black\nBlack Blue Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Black\nBlack Blue Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Blue Black\nBlack Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Black\nBlack Blue Blue Pink Blue Blue Blue Blue Blue Blue Pink Blue Blue 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Blue Blue Blue Blue Blue Blue Black Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Black Blue Blue Blue Blue Blue Blue Black Blue Blue Pink\nPink Pink Pink 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Red Black Black Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Blue Red Black Black Red\nGreen Black Blue Black Green Black Black Black Green Black Black Black Black Black Green Black Black\nBlack Gray Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Red Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Blue Blue Red Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Black Black Black Black Black Black Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Red Black Black Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Blue Red Black Black Red\nGreen Green Green Black Green Black Black Black Green Black Black Black Black Black Green Black Black\nGreen Green Green Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Red Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Blue Blue Red Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Blue Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Red Black Black\nBlack Green Black Black Black Red Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Blue Black Black Black Red Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Blue Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black Blue Black Black Black Blue\nGreen Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Blue Blue Blue Blue Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black\nBlack Green Black Black Black Red Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Blue Black Black Black Red Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Blue Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black Blue Black Black Black Blue\nGreen Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Red\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Red Black Black Blue Gray Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Blue Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Red\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Blue Blue Blue Black Black Red\nBlack Black Black Black Red Black Black Red Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Blue Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlue Black Black Gray Black Black Black Green Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Blue Black Blue Red Blue Black Black Green Black\nBlack Green Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Black Red\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Black Green Green Green Black Black Green Black Black Black Black Black Black\nBlack Black Green Green Green Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Blue Black Blue Red Blue Black Black Green Black\nBlack Green Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Black Red\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Brown Brown Brown\nOrange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Brown Brown Brown\nOrange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Brown Brown Brown\nOrange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange 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\nBlack Black Black Black Black Black Purple Purple Purple 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\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nOrange Orange Orange Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nOrange Orange Orange Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nOrange Orange Orange Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Brown Brown Brown\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nPurple Purple Purple Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Blue Blue Blue 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 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\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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 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 Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Purple Purple Purple\nYellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Purple Purple Purple\nYellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Purple Purple Purple\nYellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black\nYellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black\nYellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green Red Red 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black\nGreen Green Green Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black\nGreen Green Green Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red 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 Green Green Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Red Red Red Red Red Black Black Black Green Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Black\nBlack Red Red Red Red Red Black Black Black Green Green Black\nBlack Red Red Red Red Red Black Black Black Green Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Red Red Red Red Red Black Black Black\nBlack Black Green Green Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Green Green Green Green Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green 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 Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green 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 Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black\nBlack Black Yellow Yellow Yellow\nBlack Black Black Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Yellow Black\nYellow Yellow Yellow\nBlack Yellow Black\n\n\nExample 2\nInput:\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange\nBlack Black Black Orange Black Black\nBlack Black Orange Orange Orange Black\nBlack Black Orange Orange Orange Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nOrange Black Black Black\nOrange Black Orange Orange\nOrange Orange Orange Orange\nBlack Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray\nBlack Black Gray Gray\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray\nGray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Red Black\nBlack Red Red Black Black Black Black Black Black Black Red Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black\nRed Red Black Black Black Black Black Black Red Red 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Black Purple Purple Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Black Black\nBlack Black Blue Blue Blue Red Blue Blue Black Purple Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Blue Black Black Black Purple Blue Purple Purple Orange Black Orange Black Orange Gray Gray Gray Gray Black\nBlack Black Blue Black Black Blue Purple Blue Black Orange Orange Orange Black Orange Pink Pink Pink Pink Black Black\nBlack Black Blue Blue Blue Blue Purple Blue Black Black Orange Orange Black Black Pink Pink Black Pink Black Black\nBlack Black Black Blue Blue Purple Blue Blue Black Orange Orange Brown Orange Orange Orange Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Brown Brown Orange Orange Brown Green Green Pink Pink Black Pink Black Black\nBlack Pink Pink Pink Pink Black Black Black Brown Orange Orange Brown Orange Green Orange Green Red Black Black Black\nBlack Black Black Pink Pink Black Black Black Brown Brown Brown Brown Green Brown Green Black Red Black Black Black\nBlack Pink Pink Pink Pink Black Black Brown Brown Purple Brown Brown Brown Brown Brown Red Red Black Black Black\nBlack Pink Black Pink Pink Black Black Black Black Black Black Purple Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Brown Red Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Brown Brown Red Red Red Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Brown Red Purple Purple Purple Red Purple Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Purple Purple Purple Purple Red Red Red Red Gray Gray Gray Red Red\nRed Red Blue Blue Blue Red Blue Blue Red Purple Red Red Red Red Red Gray Gray Gray Gray Red\nRed Red Blue Red Red Red Purple Blue Purple Purple Orange Red Orange Red Orange Gray Gray Gray Gray Red\nRed Red Blue Red Red Blue Purple Blue Red Orange Orange Orange Red Orange Pink Pink Pink Pink Red Red\nRed Red Blue Blue Blue Blue Purple Blue Red Red Orange Orange Red Red Pink Pink Red Pink Red Red\nRed Red Red Blue Blue Purple Blue Blue Red Orange Orange Brown Orange Orange Orange Pink Red Red Red Red\nRed Red Pink Pink Pink Red Red Brown Brown Orange Orange Brown Green Green Pink Pink Red Pink Red Red\nRed Pink Pink Pink Pink Red Red Red Brown Orange Orange Brown Orange Green Orange Green Red Red Red Red\nRed Red Red Pink Pink Red Red Red Brown Brown Brown Brown Green Brown Green Red Red Red Red Red\nRed Pink Pink Pink Pink Red Red Brown Brown Purple Brown Brown Brown Brown Brown Red Red Red Red Red\nRed Pink Red Pink Pink Red Red Red Red Red Red Purple Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Gray Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Blue Gray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Blue Blue Gray Blue Blue Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Blue Blue Gray Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Blue Black Black Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Orange Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Green Green Green Black Green Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Green Green Black Green Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Blue Gray Gray Red Gray Red Red Red Red Red Red Red Red\nRed Red Red Red Red Pink Red Blue Gray Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Pink Red Red Red Blue Blue Gray Blue Blue Gray Red Red Red Red Red Red Red Red\nRed Red Pink Red Pink Red Blue Blue Gray Blue Gray Gray Red Red Red Red Red Red Red Red\nRed Red Pink Pink Red Pink Blue Red Red Blue Blue Blue Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Orange Red Green Green Red Green Green Red Red\nRed Red Red Red Red Red Red Red Red Orange Red Red Red Green Green Green Green Green Red Red\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Orange Red Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Pink Pink Pink Pink Red Red Green Green Green Red Green Red Red\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Red Red Green Green Red Green Red Red Red\nRed Red Red Red Red Pink Pink Red Pink Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Brown Red Brown Red Red Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Green Black Green Black Black Black Black Yellow Black Yellow Yellow\nBlack Black Pink Pink Pink Pink Black Black Black Green Green Green Black Black Yellow Yellow Black Black Yellow Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Green Green Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Yellow Yellow Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Brown Yellow Brown Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Brown Yellow Yellow Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Orange Black Orange Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Pink Pink Pink Pink Pink Red Red Red Green Red Green Red Red Red Red Yellow Red Yellow Yellow\nRed Red Pink Pink Pink Pink Red Red Red Green Green Green Red Red Yellow Yellow Red Red Yellow Red\nRed Pink Pink Pink Pink Pink Red Red Red Red Green Green Red Red Yellow Red Red Yellow Yellow Yellow\nRed Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Yellow Red Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Red Yellow Yellow Brown Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Yellow Yellow Brown Yellow Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Red Brown Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Brown Yellow Brown Yellow Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Red Brown Yellow Yellow Yellow Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Brown Red Pink Pink Pink Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Pink Red\nRed Red Red Red Red Red Red Red Red Red Red Yellow Orange Red Orange Red Red Pink Pink Red\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Pink Red Red Pink Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Red Pink Pink Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Red Red Red Black Red Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Orange Black Orange Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Red Red Orange Orange Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Red Red Red Red Black Black Black Black Black Black Black Pink Pink\nBlack Black Red Black Red Red Black Red Black Black Black Red Black Black Black Black Black Pink Pink Pink\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Green Green Green Brown Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink\nBlack Black Black Green Green Brown Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Green Green Green Green Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Green Green Black Green Brown Brown Yellow Pink Pink Pink Pink Pink Pink Black Pink Black Black Black\nBlack Pink Green Green Green Green Brown Yellow Brown Pink Yellow Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Green Black Green Black Brown Brown Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Pink Black Black Black Pink Yellow Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Pink Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Orange Black Orange Black Black\nBlack Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Orange Black Orange Orange Black Black\nBlack Black Pink Pink 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Red Orange Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Red\nRed Red Green Green Green Brown Red Red Red Red Red Red Red Red Red Red Pink Pink Red Pink\nRed Red Red Green Green Brown Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red\nRed Red Green Green Green Green Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Red Red Red Red\nRed Red Green Green Red Green Brown Brown Yellow Pink Pink Pink Pink Pink Pink Red Pink Red Red Red\nRed Pink Green Green Green Green Brown Yellow Brown Pink Yellow Pink Pink Pink Pink Pink Pink Red Red Red\nRed Red Pink Green Red Green Red Brown Brown Pink Yellow Pink Pink Pink Pink Pink Red Red Red Red\nRed Red Pink Pink Red Pink Red Red Red Pink Yellow Pink Pink Pink Orange Orange Orange Red Red Red\nRed Pink Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Orange Red Orange Red Red\nRed Pink Pink Red Red Pink Pink Red Red Red Red Red Red Red Orange Red Orange Orange Red Red\nRed Red Pink Pink Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Red Red Red Red Red\nBlack Black Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Green Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Green Brown Brown Brown Black Black\nBlack Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Red Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Green Green Green Green\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\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 Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\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 Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\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 Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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```\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n```",
"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:\nPurple Purple Black Black Black Black Blue Blue Purple Purple Gray Gray Blue Blue Gray Gray\nPurple Purple Black Black Black Black Blue Blue Purple Purple Gray Gray Blue Blue Gray Gray\nBlue Blue Black Black Blue Blue Brown Brown Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Blue Blue Brown Brown Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Gray Gray Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Purple Purple Gray Gray Black Black Brown Brown Gray Gray Black Black\nGray Gray Purple Purple Blue Blue Black Black Blue Blue Brown Brown Black Black Black Black\nGray Gray Purple Purple Blue Blue Black Black Blue Blue Brown Brown Black Black Black Black\nYellow Yellow Brown Brown Black Black Purple Purple Gray Gray Black Black Black Black Brown Brown\nYellow Yellow Brown Brown Black Black Purple Purple Gray Gray Black Black Black Black Brown Brown\nPurple Purple Brown Brown Yellow Yellow Gray Gray Purple Purple Brown Brown Gray Gray Black Black\nPurple Purple Brown Brown Yellow Yellow Gray Gray Purple Purple Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Yellow Yellow\nBlue Blue Black Black Yellow Yellow Yellow Yellow Purple Purple Black Black Brown Brown Gray Gray\nBlue Blue Black Black Yellow Yellow Yellow Yellow Purple Purple Black Black Brown Brown Gray Gray\nGray Gray Black Black Blue Blue Gray Gray Black Black Black Black Purple Purple Blue Blue\nGray Gray Black Black Blue Blue Gray Gray Black Black Black Black Purple Purple Blue Blue\nBrown Brown Gray Gray Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Blue Blue\nBrown Brown Gray Gray Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Gray Gray Black Black Black Black Purple Purple Blue Blue Purple Purple\nBlack Black Yellow Yellow Gray Gray Black Black Black Black Purple Purple Blue Blue Purple Purple\nBlack Black Yellow Yellow Purple Purple Gray Gray Gray Gray Yellow Yellow Blue Blue Black Black\nBlack Black Yellow Yellow Purple Purple Gray Gray Gray Gray Yellow Yellow Blue Blue Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nOrange Orange Green Green Green Green Gray Gray Purple Purple Black Black Orange Orange\nOrange Orange Green Green Green Green Gray Gray Purple Purple Black Black Orange Orange\nBlack Black Black Black Orange Orange Purple Purple Black Black Green Green Gray Gray\nBlack Black Black Black Orange Orange Purple Purple Black Black Green Green Gray Gray\nPurple Purple Black Black Green Green Black Black Pink Pink Green Green Purple Purple\nPurple Purple Black Black Green Green Black Black Pink Pink Green Green Purple Purple\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Gray Gray\nGreen Green Orange Orange Gray Gray Purple Purple Gray Gray Pink Pink Black Black\nGreen Green Orange Orange Gray Gray Purple Purple Gray Gray Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Green Green Green Green Black Black\nBlack Black Pink Pink Black Black Black Black Green Green Green Green Black Black\nGreen Green Orange Orange Pink Pink Gray Gray Pink Pink Purple Purple Orange Orange\nGreen Green Orange Orange Pink Pink Gray Gray Pink Pink Purple Purple Orange Orange\nOrange Orange Black Black Gray Gray Pink Pink Gray Gray Pink Pink Orange Orange\nOrange Orange Black Black Gray Gray Pink Pink Gray Gray Pink Pink Orange Orange\nOrange Orange Gray Gray Purple Purple Pink Pink Black Black Black Black Orange Orange\nOrange Orange Gray Gray Purple Purple Pink Pink Black Black Black Black Orange Orange\nPurple Purple Purple Purple Black Black Gray Gray Green Green Purple Purple Orange Orange\nPurple Purple Purple Purple Black Black Gray Gray Green Green Purple Purple Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nYellow Yellow Gray Gray Yellow Yellow Black Black Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Yellow Yellow Black Black Yellow Yellow Gray Gray Yellow Yellow\nGray Gray Blue Blue Green Green Yellow Yellow Black Black Gray Gray Gray Gray\nGray Gray Blue Blue Green Green Yellow Yellow Black Black Gray Gray Gray Gray\nBlack Black Pink Pink Black Black Yellow Yellow Green Green Green Green Black Black\nBlack Black Pink Pink Black Black Yellow Yellow Green Green Green Green Black Black\nBlack Black Pink Pink Black Black Yellow Yellow Green Green Pink Pink Green Green\nBlack Black Pink Pink Black Black Yellow Yellow Green Green Pink Pink Green Green\nGreen Green Black Black Blue Blue Blue Blue Yellow Yellow Black Black Gray Gray\nGreen Green Black Black Blue Blue Blue Blue Yellow Yellow Black Black Gray Gray\nYellow Yellow Gray Gray Black Black Green Green Pink Pink Yellow Yellow Black Black\nYellow Yellow Gray Gray Black Black Green Green Pink Pink Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Green Green Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Black Black Black Black Green Green Yellow Yellow Yellow Yellow Green Green\nGreen Green Green Green Pink Pink Gray Gray Green Green Gray Gray Pink Pink\nGreen Green Green Green Pink Pink Gray Gray Green Green Gray Gray Pink Pink\nYellow Yellow Gray Gray Green Green Black Black Blue Blue Pink Pink Gray Gray\nYellow Yellow Gray Gray Green Green Black Black Blue Blue Pink Pink Gray Gray\nPink Pink Pink Pink Green Green Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Green Green Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Green Green Pink Pink Blue Blue Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Green Green Pink Pink Blue Blue Yellow Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Black Black\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Black Black\nBrown Brown Gray Gray Blue Blue Black Black Purple Purple Black Black Gray Gray Red Red Brown Brown\nBrown Brown Gray Gray Blue Blue Black Black Purple Purple Black Black Gray Gray Red Red Brown Brown\nGray Gray Brown Brown Black Black Black Black Purple Purple Black Black Red Red Blue Blue Black Black\nGray Gray Brown Brown Black Black Black Black Purple Purple Black Black Red Red Blue Blue Black Black\nPurple Purple Black Black Brown Brown Blue Blue Black Black Blue Blue Red Red Black Black Blue Blue\nPurple Purple Black Black Brown Brown Blue Blue Black Black Blue Blue Red Red Black Black Blue Blue\nGray Gray Brown Brown Brown Brown Purple Purple Blue Blue Purple Purple Gray Gray Blue Blue Brown Brown\nGray Gray Brown Brown Brown Brown Purple Purple Blue Blue Purple Purple Gray Gray Blue Blue Brown Brown\nPurple Purple Gray Gray Red Red Blue Blue Brown Brown Purple Purple Blue Blue Black Black Red Red\nPurple Purple Gray Gray Red Red Blue Blue Brown Brown Purple Purple Blue Blue Black Black Red Red\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Brown Brown Blue Blue Brown Brown\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Brown Brown Blue Blue Brown Brown\nRed Red Blue Blue Black Black Purple Purple Blue Blue Purple Purple Purple Purple Red Red Blue Blue\nRed Red Blue Blue Black Black Purple Purple Blue Blue Purple Purple Purple Purple Red Red Blue Blue\nBlack Black Purple Purple Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Orange Yellow Purple Purple Gray Purple Purple Orange\nOrange Orange Gray Purple Green Brown Pink Yellow Brown Red\nPink Brown Orange Red Green Orange Pink Yellow Purple Brown\nYellow Green Blue Orange Green Yellow Purple Gray Blue Red\nPink Green Pink Orange Purple Yellow Gray Yellow Yellow Brown\nBrown Orange Gray Green Yellow Green Brown Pink Red Red\nPurple Orange Purple Orange Gray Orange Blue Blue Gray Purple\nGray Brown Orange Blue Brown Purple Purple Green Pink Purple\n\nOutput:\nPurple Purple Purple Gray Purple Purple Blue Purple Pink Purple\nRed Brown Blue Pink Brown Red Purple Gray Purple Purple\nBrown Purple Blue Pink Purple Red Red Purple Brown Pink\nRed Blue Gray Purple Blue Red Purple Blue Red Blue\nBrown Blue Blue Gray Blue Purple Purple Pink Red Pink\nRed Red Pink Brown Red Blue Red Gray Purple Brown\nPurple Gray Blue Blue Purple Gray Purple Purple Purple Purple\nPurple Pink Red Purple Purple Brown Blue Purple Brown Gray\n\n\nExample 2\nInput:\nOrange Brown Pink Orange Pink Pink Pink\nYellow Blue Orange Yellow Blue Orange Orange\nBlue Purple Blue Blue Purple Red Orange\nRed Brown Orange Purple Red Pink Brown\nGreen Gray Brown Purple Purple Orange Brown\nPink Brown Pink Pink Gray Yellow Purple\nBlue Brown Green Orange Pink Brown Purple\nGray Purple Green Blue Gray Gray Purple\nRed Purple Yellow Green Yellow Gray Red\nOrange Brown Yellow Red Purple Orange Yellow\n\nOutput:\nPink Pink Pink Purple Pink Brown Purple\nPurple Purple Blue Blue Purple Blue Blue\nPurple Red Purple Blue Blue Purple Blue\nBrown Pink Red Purple Purple Brown Red\nBrown Purple Purple Purple Brown Gray Red\nPurple Blue Gray Pink Pink Brown Pink\nPurple Brown Pink Purple Red Brown Blue\nPurple Gray Gray Blue Red Purple Gray\nRed Gray Blue Red Blue Purple Red\nBlue Purple Purple Red Blue Brown Purple\n\n\nExample 3\nInput:\nBrown Orange Blue Purple Blue Red Yellow\nYellow Gray Blue Orange Gray Brown Blue\nYellow Pink Brown Gray Green Green Orange\nRed Blue Green Pink Gray Blue Yellow\nGreen Purple Orange Purple Blue Green Brown\nBlue Yellow Gray Brown Blue Yellow Brown\nOrange Orange Red Yellow Purple Green Pink\nPurple Green Yellow Brown Orange Blue Purple\nPink Purple Pink Pink Purple Yellow Blue\n\nOutput:\nBlue Red Blue Purple Blue Purple Brown\nBlue Brown Gray Purple Blue Gray Blue\nPurple Red Red Gray Brown Pink Blue\nBlue Blue Gray Pink Red Blue Red\nBrown Red Blue Purple Purple Purple Red\nBrown Blue Blue Brown Gray Blue Blue\nPink Red Purple Blue Red Purple Purple\nPurple Blue Purple Brown Blue Red Purple\nBlue Blue Purple Pink Pink Purple Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Pink Blue Yellow Brown Purple Gray Gray\nGray Pink Purple Red Purple Orange Brown Gray Purple\nGreen Gray Brown Pink Green Purple Orange Red Orange\nPink Pink Yellow Brown Gray Purple Brown Purple Green\nBrown Brown Blue Red Orange Yellow Yellow Blue Purple\nGray Brown Orange Purple Red Blue Blue Red Green\nBrown Orange Orange Orange Pink Green Pink Yellow Pink\nBlue Pink Pink Blue Green Red Blue Orange Red\nPink Pink Gray Orange Green Purple Yellow Blue Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Purple Brown Blue Blue Pink Gray Pink\nPurple Gray Brown Purple Purple Red Purple Pink Gray\nPurple Red Purple Purple Red Pink Brown Gray Red\nRed Purple Brown Purple Gray Brown Blue Pink Pink\nPurple Blue Blue Blue Purple Red Blue Brown Brown\nRed Red Blue Blue Red Purple Purple Brown Gray\nPink Blue Pink Red Pink Purple Purple Purple Brown\nRed Purple Blue Red Red Blue Pink Pink Blue\nBlue Blue Blue Purple Red Purple Gray 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Red Green Green Green Yellow Yellow\nYellow Yellow Green Yellow Red Red Yellow Red Red Yellow Green Yellow\nYellow Yellow Yellow Red Yellow Yellow Green Yellow Yellow Red Green Yellow\nYellow Yellow Yellow Yellow Yellow Green Red Green Yellow Red Green Yellow\nYellow Green Red Yellow Green Red Blue Red Green Yellow Red Green\nYellow Yellow Yellow Yellow Yellow Green Red Green Yellow Red Green Yellow\nYellow Yellow Yellow Red Yellow Yellow Green Yellow Yellow Red Green Yellow\nYellow Yellow Green Yellow Red Red Yellow Red Red Yellow Green Yellow\nYellow Yellow Yellow Green Green Green Red Green Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Red Green Green Green Green\nGreen Green Green Red Red Yellow Red Red Green Green\nGreen Green Red Yellow Yellow Green Yellow Yellow Red Green\nGreen Green Green Green Green Red Green Yellow Red Green\nGreen Red Yellow Green Red Blue Red Green Yellow Red\nGreen Green Green Green Green Red Green Yellow Red Green\nGreen Green Red Yellow Yellow Green Yellow Yellow Red Green\nGreen Green Green Red Red Yellow Red Red Green Green\nGreen Green Green Green Green Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Red Green Green Green Green Green\nGreen Green Green Red Red Yellow Red Red Green Green Green\nGreen Green Red Yellow Yellow Green Yellow Yellow Red Green Green\nGreen Green Green Green Green Red Green Yellow Red Green Green\nGreen Red Yellow Green Red Blue Red Green Yellow Red Green\nGreen Green Green Green Green Red Green Yellow Red Green Green\nGreen Green Red Yellow Yellow Green Yellow Yellow Red Green Green\nGreen Green Green Red Red Yellow Red Red Green Green Green\nGreen Green Green Green Green Red Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray\nGray Gray Red Red Yellow Red Red Gray Gray\nGray Red Yellow Yellow Green Yellow Yellow Red Gray\nGray Gray Gray Green Red Green Yellow Red Gray\nRed Yellow Green Red Blue Red Green Yellow Red\nGray Gray Gray Green Red Green Yellow Red Gray\nGray Red Yellow Yellow Green Yellow Yellow Red Gray\nGray Gray Red Red Yellow Red Red Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Pink\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 Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Pink\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Yellow 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 Pink Pink Pink\nBlack Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink\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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Pink\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black 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 Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow Yellow Yellow Black Red Red\nYellow Yellow Yellow Black Red Red\nBlack Black Black Black Black Black\nBlue Blue Blue Black Green Green\nBlue Blue Blue Black Green Green\nBlue Blue Blue Black Green Green\n\nOutput:\nBlack Black\nBlue Black\n\n\nExample 2\nInput:\nBlue Blue Blue Black Green Green\nBlue Blue Blue Black Green Green\nBlack Black Black Black Black Black\nYellow Yellow Yellow Black Red Red\nYellow Yellow Yellow Black Red Red\nYellow Yellow Yellow Black Red Red\n\nOutput:\nBlack Black\nYellow Black\n\n\nExample 3\nInput:\nGreen Green Green Black Blue Blue\nGreen Green Green Black Blue Blue\nBlack Black Black Black Black Black\nYellow Yellow Yellow Black Red Red\nYellow Yellow Yellow Black Red Red\nYellow Yellow Yellow Black Red Red\n\nOutput:\nBlack Black\nYellow Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Black Yellow Yellow\nGreen Green Green Black Yellow Yellow\nBlack Black Black Black Black Black\nRed Red Red Black Blue Blue\nRed Red Red Black Blue Blue\nRed Red Red Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black\nRed Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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\nBrown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black\nBlack Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black\nBlack Pink Black Black Black Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Green Green Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Green Green Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlack Black Blue Blue Blue Blue Orange Orange Blue Blue Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Orange Orange Blue Blue Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Pink Pink Pink Pink Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Pink Pink Pink Pink Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown 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 Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Pink Pink Red Red Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Pink Pink Red Red Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Orange Orange Orange Orange Blue Blue Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Orange Orange Orange Orange Blue Blue Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Green Green Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Green Green Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Pink Pink Pink Pink Orange Orange Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Pink Pink Pink Pink Orange Orange Black 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 Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Pink Pink Pink Pink Yellow Yellow 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Orange Orange Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Orange Orange Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Green Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Green Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Blue Blue Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Blue Blue Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Black 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 Purple Purple Purple Purple Black 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 Purple Purple Red Red Pink Pink Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Red Red Pink Pink Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Red Red Orange Orange Black Black\nBlack Black Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Red Red Orange Orange Black Black\nBlack Black Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Red Red Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Red Red Orange Orange Orange Orange Red Red Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Red Red Orange Orange Orange Orange Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink 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 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 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 Pink Pink 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 Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Green Green 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 Green Green 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Green Green 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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\nBlack Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Gray Gray 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 Black Black Black Black Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Pink Pink 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Gray Red Green Yellow Brown Blue\nGray Orange Purple Green Yellow Gray Pink\nPurple Brown Yellow Green Orange Purple Yellow\nBrown Green Green Green Green Pink Gray\nPink Green Green Green Green Pink Yellow\nYellow Green Green Green Green Gray Yellow\nPink Green Green Green Green Purple Purple\nOrange Brown Blue Orange Yellow Orange Purple\nPurple Orange Orange Orange Purple Green Blue\n\nOutput:\nPink Gray Red Green Yellow Brown Blue\nGray Orange Purple Green Yellow Gray Pink\nPurple Brown Yellow Green Orange Purple Yellow\nBrown Purple Purple Purple Purple Pink Gray\nPink Purple Purple Purple Purple Pink Yellow\nYellow Purple Purple Purple Purple Gray Yellow\nPink Purple Purple Purple Purple Purple Purple\nOrange Brown Blue Orange Yellow Orange Purple\nPurple Orange Orange Orange Purple Green Blue\n\n\nExample 2\nInput:\nBlue Brown Pink Green Purple Blue Yellow Yellow\nPink Purple Brown Green Purple Pink Gray Orange\nGreen Blue Brown Brown Brown Brown Pink Pink\nRed Brown Brown Brown Brown Brown Gray Red\nBlue Orange Brown Brown Brown Brown Purple Orange\nYellow Red Brown Brown Brown Brown Red Pink\nOrange Gray Gray Orange Yellow Pink Purple Purple\n\nOutput:\nBlue Brown Pink Green Purple Blue Yellow Yellow\nPink Purple Brown Green Purple Pink Gray Orange\nGreen Blue Orange Orange Orange Orange Pink Pink\nRed Brown Orange Orange Orange Orange Gray Red\nBlue Orange Orange Orange Orange Orange Purple Orange\nYellow Red Orange Orange Orange Orange Red Pink\nOrange Gray Gray Orange Yellow Pink Purple Purple\n\n\nExample 3\nInput:\nOrange Yellow Orange Pink Green Brown Yellow Blue\nBlue Purple Green Gray Gray Red Yellow Purple\nGreen Blue Orange Orange Orange Orange Blue Pink\nRed Pink Orange Orange Orange Orange Green Brown\nYellow Gray Orange Orange Orange Orange Yellow Brown\nYellow Orange Orange Orange Orange Orange Green Yellow\nBrown Pink Green Red Brown Blue Blue Orange\nGray Purple Orange Gray Purple Gray Green Blue\n\nOutput:\nOrange Yellow Orange Pink Green Brown Yellow Blue\nBlue Purple Green Gray Gray Red Yellow Purple\nGreen Blue Gray Gray Gray Gray Blue Pink\nRed Pink Gray Gray Gray Gray Green Brown\nYellow Gray Gray Gray Gray Gray Yellow Brown\nYellow Orange Gray Gray Gray Gray Green Yellow\nBrown Pink Green Red Brown Blue Blue Orange\nGray Purple Orange Gray Purple Gray Green Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Orange Pink Orange\nBrown Pink Pink Blue Red Blue\nPink Yellow Yellow Yellow Blue Orange\nGreen Yellow Yellow Yellow Gray Purple\nGray Yellow Yellow Yellow Pink Red\nPink Brown Pink Pink 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```\nGray Gray Pink Orange Pink Orange\nBrown Pink Pink Blue Red Blue\nPink Pink Pink Pink Blue Orange\nGreen Pink Pink Pink Gray Purple\nGray Pink Pink Pink Pink Red\nPink Brown Pink Pink Orange 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:\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Green Green Green Green Green Green Red Red Red Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Green Green Green Green Green Green Red Red Red Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Green Green Green Green Green Green Red Red Red Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nBlack Black Black Red Red Red Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nBlack Black Black Red Red Red Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGray Gray Gray Red Red Red Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple\nGray Gray Gray Red Red Red Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple\nGray Gray Gray Red Red Red Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple\nGray Gray Gray Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nGray Gray Gray Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nGray Gray Gray Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\n\nOutput:\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red\nYellow Yellow Yellow Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red\nYellow Yellow Yellow Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Red Red Red Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray 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 Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Black Black Black Brown Brown Brown Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Black Black Black Brown Brown Brown Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Black Black Black Brown Brown Brown Purple Purple Purple\nGray Gray Gray Green Green Green Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Brown Brown Brown Orange Orange Orange\nGray Gray Gray Green Green Green Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Brown Brown Brown Orange Orange Orange\nGray Gray Gray Green Green Green Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Brown Brown Brown Orange Orange Orange\nBlue Blue Blue Gray Gray Gray Green Green Green Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlue Blue Blue Gray Gray Gray Green Green Green Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlue Blue Blue Gray Gray Gray Green Green Green Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Purple Purple Purple Black Black Black\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Red Red Red Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Red Red Red Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Red Red Red Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black\nRed Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple Brown Brown Brown Red Red Red\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple Brown Brown Brown Red Red Red\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple Brown Brown Brown Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Red Red Red\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nRed Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black\nRed Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black\nRed Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black\nPurple Purple Purple Orange Orange Orange Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Red Red Red\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Orange Orange Orange Orange Orange Orange Gray Gray Gray Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Yellow Red Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Black Yellow\nYellow 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 Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Red Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green\nGreen Black Green\nGreen Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Red Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange\nOrange Black Orange\nOrange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Green Green Black Black\nBlack Black Green Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Green Green Green Black Green Black Green Black Black\nBlack Green Black Green Black Green Black Green Black Black\nBlack Black Black Black Black Green Green Green 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 Green\nBlack Black Green\nBlack 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:\nGray Gray Black Black Purple Gray Gray Purple Blue Purple Blue Blue\nBlue Purple Blue Gray Purple Gray Purple Gray Brown Yellow Blue Blue\nBrown Blue Purple Black Brown Black Black Brown Black Purple Gray Purple\nBlack Gray Blue Gray Gray Blue Yellow Yellow Brown Gray Gray Blue\nBlue Gray Gray Gray Black Black Black Gray Purple Purple Black Blue\nBlack Black Blue Black Purple Purple Black Gray Purple Black Blue Black\nBlack Black Purple Gray Blue Black Blue Blue Blue Yellow Yellow Gray\nGray Yellow Gray Black Blue Blue Blue Black Blue Blue Yellow Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPurple Green Pink Gray Gray Purple Purple Black Gray Pink\nOrange Pink Black Black Green Orange Orange Black Purple Orange\nPink Green Purple Black Purple Purple Pink Black Green Purple\nPurple Green Pink Green Purple Black Black Gray Gray Orange\nGreen Purple Green Black Green Black Purple Green Orange Green\nBlack Purple Green Pink Black Purple Gray Pink Black Black\nPink Purple Gray Black Purple Black Purple Purple Gray Pink\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nGreen Green Yellow Yellow Green Black Green Green Green Yellow Green\nGreen Yellow Green Green Gray Blue Black Black Gray Pink Green\nYellow Black Pink Green Pink Black Pink Green Black Gray Green\nGray Black Green Yellow Black Pink Yellow Yellow Gray Black Black\nGreen Green Green Yellow Green Black Black Black Black Green Black\nYellow Gray Black Green Green Pink Green Green Yellow Blue Black\nBlack Blue Green Gray Gray Green Black Yellow Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Blue Purple Black Brown Black Brown\nBlue Black Brown Blue Blue Red Brown Purple Red\nBlack Gray Purple Purple Black Black Blue Red Red\nPurple Purple Brown Blue Brown Black Gray Brown Red\nBrown Red Blue Blue Gray Purple Gray Black Red\nBrown Brown Blue Black Brown Black Red Black Red\nBlack Black Red Red Blue Purple Red Brown Blue\nBlack Blue Black Brown Blue Purple Brown Brown Black\nRed Brown Purple Purple Purple Red Purple Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Pink Pink Pink Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nOrange Orange Blue Blue Blue Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nOrange Orange Blue Blue Blue Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\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 Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green 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\nYellow 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:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black 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 Black\nBrown Brown 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 Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray 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 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 Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Gray Gray Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black 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 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 Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\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 Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Black Black 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 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 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 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 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 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 Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Black Black Black Black 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 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 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 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 Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Blue Blue Black Green Black Black\nOrange Black Black Pink Blue Blue Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Pink Yellow Pink Black Black Black Black Black Black\nBlack Pink Pink Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Blue Blue Green Black Black Black Black\nBlack Black Pink Blue Blue Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Pink Yellow Pink Black Black Black Black Black Black\nBlack Pink Pink Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue\nBlack Purple Black Black Blue Blue Blue\nBlack Black Black Green Green Green Blue\nBlack Black Black Green Green Green Purple\nBlack Black Black Green Green Green Black\nBrown Brown Brown Black Black Black Black\nBrown Brown Brown Yellow Brown Brown Black\nBrown Brown Brown Black Brown Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Green Green Green Blue\nBlack Black Black Green Green Green Purple\nBlack Black Black Green Green Green Black\nBrown Brown Black Black Black Black Black\nBrown Brown Yellow Brown Brown Black Black\nBrown Brown Black Brown Brown Black Black\n\n\nExample 3\nInput:\nPink Pink Black Pink Blue Black Black Black Black\nPink Pink Black Blue Blue Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Brown Brown Black Black Black\nBlack Orange Orange Orange Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\n\nOutput:\nPink Pink Blue Black Black Black Black Black Black\nPink Blue Blue Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Brown Brown Black Black Black\nBlack Orange Orange Orange Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Green Pink Pink Pink Black\nBlack Green Green Green Pink Pink Pink Black\nBlack Green Green Pink Black Black Black Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Green Pink Pink Pink Black\nBlack Green Green Green Pink Pink Pink Black\nBlack Green Green Pink Black Black Black Black\nBlack Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\nOutput:\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\n\nOutput:\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\n\nOutput:\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue 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```\nRed Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Red Red Red Red Red Red\nGreen Green Green Red Red Red Red Red Red\nGreen Green Green Red Red Red Red Red Red\nPurple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Green Green Green Orange Orange Orange\nYellow Yellow Yellow Green Green Green Orange Orange Orange\nYellow Yellow Yellow Green Green Green Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Gray Gray Gray\n```",
"role": "assistant"
}
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|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Pink\nBlack Black Blue Black Pink Orange\nBlack Blue Black Pink Black Black\nBlack Black Green Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Red\nBlack Black Blue Black Red Orange\nBlack Blue Black Red Black Black\nBlack Black Green Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Orange Black Yellow Black Black\nBlack Black Yellow Black Black Black\nBlack Black Pink Black Black Black\nBlack Pink Blue Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Orange Black Red Black Black\nBlack Black Red Black Black Black\nBlack Black Pink Black Black Black\nBlack Pink Blue Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Orange Blue Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Red Blue Black Green 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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Yellow Black Black Orange Black Black\nBlack Black Blue Orange Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Yellow Black Black Red Black Black\nBlack Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Pink Pink\nBrown Brown Brown Brown Pink Pink\nPurple Purple Green Green Orange Orange\nPurple Purple Green Green Orange Orange\nGray Gray Gray Gray Green Green\nGray Gray Gray Gray Green Green\n\nOutput:\nGray Gray Purple Purple Brown Brown\nGray Gray Purple Purple Brown Brown\nGray Gray Red Red Brown Brown\nGray Gray Red Red Brown Brown\nRed Red Orange Orange Pink Pink\nRed Red Orange Orange Pink Pink\n\n\nExample 2\nInput:\nBlack Black Blue Blue Pink Pink\nBlack Black Blue Blue Pink Pink\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nRed Red Green Green Red Red\nRed Red Green Green Red Red\n\nOutput:\nYellow Yellow Gray Gray Black Black\nYellow Yellow Gray Gray Black Black\nRed Red Black Black Green Green\nRed Red Black Black Green Green\nYellow Yellow Gray Gray Pink Pink\nYellow Yellow Gray Gray Pink Pink\n\n\nExample 3\nInput:\nRed Red Green Green Yellow Yellow\nRed Red Green Green Yellow Yellow\nBrown Brown Green Green Pink Pink\nBrown Brown Green Green Pink Pink\nBlue Blue Purple Purple Red Red\nBlue Blue Purple Purple Red Red\n\nOutput:\nGreen Green Brown Brown Yellow Yellow\nGreen Green Brown Brown Yellow Yellow\nPurple Purple Red Red Red Red\nPurple Purple Red Red Red Red\nYellow Yellow Pink Pink Blue Blue\nYellow Yellow Pink Pink Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Red Red Gray Gray\nYellow Yellow Red Red Gray Gray\nPurple Purple Yellow Yellow Yellow Yellow\nPurple Purple Yellow Yellow Yellow Yellow\nGray Gray Brown Brown Yellow Yellow\nGray Gray Brown Brown 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```\nGray Gray Purple Purple Blue Blue\nGray Gray Purple Purple Blue Blue\nBrown Brown Blue Blue Yellow Yellow\nBrown Brown Blue Blue Yellow Yellow\nBlue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Blue Brown Brown Blue Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Red Gray Blue Black Black Black\nBlack Black Purple Black Red Gray Blue Black Black Black\nGray Purple Purple Black Black Blue Blue Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Blue Pink Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Red Red\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Blue Blue Black Black Black Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Gray Gray Black Green Purple Purple Green Black\nBlack Black Black Black Black Black Red Red Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Pink Pink Black Black\nYellow Yellow Yellow Yellow Black Black Pink Pink Black Black\nYellow Yellow Yellow Yellow Blue Blue Pink Pink Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Pink Pink Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Green Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Gray Gray Green Black Black Black Black\nBlack Black Red Gray Gray Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Orange Black Orange Black\nBlack Green Brown Yellow Black Black Orange Orange Orange Black\nBlack Black Black Brown Black Black Gray Blue Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Green Green Gray Gray Gray Gray\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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nPink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\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 Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black 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\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 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink 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\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Pink Pink\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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 Gray Black Black Black Gray Black Black Black Black\nGray Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Black Black Black Gray Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Blue Black Black Black Black\nYellow Yellow Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Red Black Black Black Blue Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Red 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 Gray Black Black Black Black Black Gray\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray 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 Blue Black Black Black Black Black Yellow\nBlack 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 Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Gray Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray 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 Red Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Blue Black Black Black Red Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue 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 Gray Black Black Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black Gray Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Black Black\nBlack Black Black Gray Black Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Gray Gray Gray Black\nBlack Black Gray Gray Black Black Black Gray 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 Black Black Black Black Red Black Black\nBlack Black Black Blue Black Black Red Red Red Black\nBlack Black Blue Blue Blue Black Black Red Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Black Black\nBlack Black Black Blue Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Yellow Black Black Blue Blue Blue Black\nBlack Black Yellow Yellow Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Yellow\nYellow Yellow Yellow\nYellow Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Green Green Green Black Green Green Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Green Purple 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 Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black\nGreen Black Green\nGreen Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Gray Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Gray\nGray Gray Gray\nGray Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Red\nRed Black Red\nRed Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue 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\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Blue Blue Blue 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Blue Blue Blue Blue Blue Black Black\nGreen Green Green Green Black Black Black Blue Blue Blue 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nRed Red Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nRed Red Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nRed Red Black Black Black Black Black Yellow Yellow 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Gray Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Gray Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Yellow Black Black\nBlack Black Orange Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Brown Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Orange Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Brown Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nPink Black Green Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Orange Brown Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Gray Black Black Black Black Purple\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Orange Brown Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Pink Black Black Black Black Black\nBlack Black Black Black Gray Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Brown Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Brown Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black 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:\nBlack Black Black Black Black Black Black Black Black Red Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Blue Green Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Blue Green Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Red Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Green Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Gray Black\nGray Black Black Black Black Black Black Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Yellow Black\nBlue Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Gray Gray Black Black Gray Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Yellow Yellow Black Black Green Black Black Black Blue\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black\nGray Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nGray Gray Gray Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Black Black\nBlue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Blue Blue Black Black Black\nBlue Blue Blue Black Black Blue 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 Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Purple Purple Black\nPurple Black Yellow Black Purple\nPurple Yellow Yellow Yellow Purple\nPurple Black Yellow Black Purple\nBlack Purple Purple Purple Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Purple Black Black\nBlack Purple Purple Purple Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Pink Pink Pink Black\nPink Green Green Green Pink\nPink Black Green Green Pink\nPink Green Green Green Pink\nBlack Pink Pink Pink Black\n\nOutput:\nBlack Black Black Black Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Pink Black Pink Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Orange Orange Orange Black\nOrange Black Green Black Orange\nOrange Black Green Black Orange\nOrange Green Green Green Orange\nBlack Orange Orange Orange Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Orange Black\nBlack Orange Orange Orange Black\nBlack Black Black Orange Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Black\nGray Black Gray Black Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Black Gray Gray Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Purple Purple Black Black Black Pink Pink Pink Pink\nBlack Black Black Brown Brown Brown Black Black Purple Purple Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink 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\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 Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Purple Purple Black Black Black Pink Pink Pink Pink\nBlack Black Black Brown Brown Brown Black Black Purple Purple Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Orange Orange Black Blue Blue Blue Blue Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Blue Blue Blue Blue Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nGreen Green Green Green Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nGreen Green Green Green Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red 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 Blue Black Black Black\nBlack Green Black Black Black Black Black Blue Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\n\nOutput:\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nGreen Green Green Green Green Green Green Blue Blue Blue Green Green\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nRed Black Red Black Black Black Black Blue Blue Blue Red Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlack Blue Blue Red Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Blue Green Green Green Green Green\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Blue Green Green Green Green Green\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\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:\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\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 Black Black\n\nOutput:\nGreen Green Green Red Red Red Black Black Black Black Black Black Red Red Red\nGreen Green Green Red Red Red Black Black Black Black Black Black Red Red Red\nGreen Green Green Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\n\nOutput:\nRed Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nRed Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nRed Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Red Red Red\nGreen Green Green Black Black Black Green Green Green Black Black Black Red Red Red\nGreen Green Green Black Black Black Green Green Green Black Black Black Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nBlack Black Black Red Red Red Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red 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:\nPurple Black Black Yellow Black Black Pink Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Blue Black Black Black Black Black Yellow\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Brown Black Black 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 Black Black Brown Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Pink Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Purple Purple\nBlack Pink Pink Pink Black Purple Purple Purple\nBlack Black Pink Pink Black Purple Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Yellow Black\nBlack Orange Orange Orange Black Yellow Yellow Yellow\nBlack Orange Orange Orange Black Black Yellow 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 Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Pink Pink Pink\nBlack Yellow Yellow Yellow Black Pink Pink Pink\nBlack Black Yellow Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Green Green Green\nBlack Orange Orange Orange Black Black Green Green\nBlack Black Orange Orange Black Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Yellow Yellow Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Green Green Green Green Green Green\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Green Green Green Green Green Green\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Green Green Green Green\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Green Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Green Green Green Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Orange Orange\nBlack Brown Brown Brown Black Orange Orange Orange\nBlack Brown Brown Brown Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Green Black\nBlack Gray Gray Gray Black Black Green Black\nBlack Gray Gray Black Black Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Orange Orange Orange Orange\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Orange Orange Orange Orange\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Green Green Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Green Green Green Green Green Green\nBlack Black Gray Gray Gray Gray Black Black Black Black Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Gray\nBlack Gray Gray Gray Black Gray Gray Black\nBlack Black Black Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Gray Black\nBlack Black Pink Black Black Gray Gray Gray\nBlack Pink Pink Pink Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Red Black\nBlack Black Red Red Red Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Green Green Green Green Black\nBlack Black Red Red Red Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\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 Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\n\nOutput:\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\n\n\nExample 2\nInput:\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\n\nOutput:\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\n\n\nExample 3\nInput:\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\n\nOutput:\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Black Black Green Green Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Red Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Red Red Blue Blue\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Black Black Black Black\nRed Red Blue Blue Red Red Red Red Black Black\nRed Red Blue Blue Red Red Red Red Black Black\nBlue Blue Black Black Red Red Red Red Blue Blue\nBlue Blue Black Black Red Red Red Red Blue Blue\n\n\nExample 2\nInput:\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nGreen Green Green Green Green Green Green Green Red Red\nGreen Green Green Green Green Green Green Green Red Red\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Red Red\nGreen Green Green Green Green Green Green Green Red Red\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\n\nOutput:\nBlack Black Green Green Red Red Red Red Green Green Black Black\nBlack Black Green Green Red Red Red Red Green Green Black Black\nGreen Green Green Green Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Green Green Green Green\nBlue Blue Green Green Green Green Green Green Green Green Blue Blue\nBlue Blue Green Green Green Green Green Green Green Green Blue Blue\nBlack Black Red Red Green Green Green Green Red Red Black Black\nBlack Black Red Red Green Green Green Green Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green\nBlue Blue Red Red Green Green Green Green Blue Blue Red Red\nBlue Blue Red Red Green Green Green Green Blue Blue Red Red\nGreen Green Red Red Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Red Red Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black\n\nOutput:\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Black Black\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Black Black\nGreen Green Red Red Red Red Blue Blue Blue Blue Red Red\nGreen Green Red Red Red Red Blue Blue Blue Blue Red Red\nGreen Green Blue Blue Green Green Green Green Green Green Black Black\nGreen Green Blue Blue Green Green Green Green Green Green Black Black\nGreen Green Blue Blue Green Green Blue Blue Green Green Black Black\nGreen Green Blue Blue Green Green Blue Blue Green Green 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 Green Green Red Red Green Green Black Black Black Black\nBlack Black Green Green Red Red Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Red Red Red Red\nBlack Black Blue Blue Red Red Red Red\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nRed Red Blue Blue Black Black Black Black\nRed Red Blue Blue Black Black Black Black\nRed Red Blue Blue Black Black Black Black\nRed Red Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Green Green Red Red Red Red Black Black Black Black\nRed Red Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown 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\nBrown 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\nBrown 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\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple 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\nBrown 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\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple 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\nBrown 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\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 Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown\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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Yellow Yellow Yellow Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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"
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"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Pink Pink Pink\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Red Red Red Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Red Red Red Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Red Red Red Black Black Black Pink Pink Pink\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Pink Pink Pink\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Pink Green Green Green Green Green Green Black Black Black Black Black Black\nPink Pink Pink Green Green Green Green Green Green Black Black Black Black Black Black\nPink Pink Pink Green Green Green Green Green Green Black Black Black Black Black Black\nPink Pink Pink Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Green Green Green\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Green Green Green\nBlack Black Black Orange Orange Orange Green Green Green Orange Orange Orange Green Green Green\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nOrange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown 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 Brown Brown 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 Brown Brown 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 Brown Brown 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 Brown Brown 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 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 Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\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 Yellow Yellow Yellow\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 Yellow Yellow Yellow\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 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\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red 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 Red Red Red 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 Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue 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 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 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 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 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 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 Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue 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 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 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 Blue Blue Blue Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow Blue Black Black Black Black Black Black\nGreen Black Red Black Black Black Black Black Black Black\nBlack Blue Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Gray Brown Black Orange Black Black Black Black\nBlack Black Black Pink Black Black Black Green Black Black\nPurple Black Black Yellow Black Black Black Green Black Black\nBlack Black Black Orange Black Black Black Black Black Pink\n\nOutput:\nPink Black Black Black Black Black Orange Black Black Black\nBlack Black Green Black Black Black Yellow Black Black Purple\nBlack Black Green Blue Black Black Pink Black Black Black\nGreen Black Red Black Orange Black Brown Gray Black Black\nBlack Blue Orange Black Orange Purple Black Black Black Black\nBlack Black Black Black Purple Orange Black Orange Blue Black\nBlack Black Gray Brown Black Orange Black Red Black Green\nBlack Black Black Pink Black Black Blue Green Black Black\nPurple Black Black Yellow Black Black Black Green Black Black\nBlack Black Black Orange Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Yellow Red Black Black Black\nBlack Black Black Black Black Black Blue\nGray Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Gray\nBlue Black Black Black Black Black Black\nBlack Black Black Red Yellow Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Yellow\nGray Black Black Orange Black Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black\nBlack Blue Black Orange Black Black Gray\nYellow Black Black Black Black Black Black\nBlack Black Red Black Red Black Black\nBlack Black Black Black Black Black Yellow\nGray Black Black Orange Black Blue Black\nBlack Black Black Black Black Black Purple\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 Gray Black Black Black Black Black\nBrown Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Brown\nBlack Black Black Gray Black Gray Black Black Black\nBrown Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack 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\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Green 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 Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Red Black Black\nBlack Green Green Green Black Black Black Red Red Red\nBlack Green Green Black Black Black Black Red Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\n\nOutput:\nRed Black Black\nRed Red Red\nRed Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Gray Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Brown Black Black Black Black Black Pink Black\nBrown Brown Brown Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\n\nOutput:\nGray Gray Gray\nGray Black Black\nGray Gray Black\nGray Black Black\nGray Gray Gray\n\n\nExample 3\nInput:\nBlack Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Purple Purple Black Black Black Black Purple Black Black\nBlack Black Purple Black Black Black Black Purple Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\n\nOutput:\nPurple Purple Purple\nPurple Purple Black\nBlack Purple Black\nPurple Purple Black\nPurple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Brown Black Black Black Black Yellow Black\nBlack Black Brown Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Yellow Black\nBlack Pink Pink Black Black Blue Blue Black Black Black\nBlack Pink Pink Pink Black Black Blue Black Black Black\nBlack Pink Pink Pink Black Black Blue Blue Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Gray Black\nBlack Black Black Black Yellow Yellow Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black\nGray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange\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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Gray\nGray Black Black Gray Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\nOrange Orange Orange 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 Orange Orange\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\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\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\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\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\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Brown Purple Brown Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Black Black Brown Purple Brown Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Brown Gray Brown Black Black\nBlack Black Brown Gray Brown Black Black\nBlack Black Brown Green Brown 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 Brown Brown Brown Black Black\nBlack Black Gray Gray Green Black Black\nBlack Black Brown Brown Brown 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 Yellow Blue Red Black Black\nBlack Black Pink Brown Pink Black Black\nBlack Black Pink Pink Pink 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 Red Pink Pink Black Black\nBlack Black Blue Brown Pink Black Black\nBlack Black Yellow Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Pink Black Black Black\nBlack Black Black Yellow Blue Blue Black Black Black\nBlack Black Black Purple Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Pink Blue Pink Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Yellow Purple Black Black Black\nBlack Black Black 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"
}
]
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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:\nGray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Red Red Red Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Red Red Red Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Gray Gray Gray Brown Brown Brown\nPink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown\nGray Gray Gray Green Green Green Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Yellow Yellow Yellow\nGray Gray Gray Green Green Green Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Yellow Yellow Yellow\nGray Gray Gray Green Green Green Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Green Green Green Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Green Green Green Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Green Green Green Pink Pink Pink 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Green Green Green\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Green Green Green\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Green Green Green\nRed Red Red Gray Gray Gray Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nRed Red Red Gray Gray Gray Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nRed Red Red Gray Gray Gray Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nRed Red Red Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPink Pink Pink Green Green Green Red Red Red Brown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Green Green Green Red Red Red Brown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Green Green Green Red Red Red Brown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Red Red Red\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue\nGray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink Brown Brown Brown Red Red Red Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink Brown Brown Brown Red Red Red Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink Brown Brown Brown Red Red Red Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Green Green Green Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Green Green Green Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Green Green Green Brown Brown Brown Red Red Red Red Red Red\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Green Green Green\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Green Green Green\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Green Green Green\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Orange Orange Orange Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Orange Orange Orange Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Orange Orange Orange Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple\nGreen Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple\nGreen Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple\nGreen Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Green Green Green Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple\nGreen Green Green Pink Pink Pink Red Red Red Green Green Green Brown Brown Brown Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nGreen Green Green Pink Pink Pink Red Red Red Green Green Green Brown Brown Brown Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nGreen Green Green Pink Pink Pink Red Red Red Green Green Green Brown Brown Brown Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\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\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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:\nGray Gray Brown Brown Red Red Green Green Purple Purple Brown Brown\nGray Gray Brown Brown Red Red Green Green Purple Purple Brown Brown\nOrange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nGreen Green Orange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow\nGreen Green Orange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow\nGray Gray Orange Orange Gray Gray Gray Gray Orange Orange Red Red\nGray Gray Orange Orange Gray Gray Gray Gray Orange Orange Red Red\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink\nPink Pink Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nPink Pink Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nGreen Green Gray Gray Pink Pink Blue Blue Brown Brown Blue Blue\nGreen Green Gray Gray Pink Pink Blue Blue Brown Brown Blue Blue\n\nOutput:\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Red Red Green Green Purple Purple Brown Brown Blue Blue\nGray Gray Gray Gray Brown Brown Red Red Green Green Purple Purple Brown Brown Blue Blue\nGray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nGray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Blue Blue\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Blue Blue\nGray Gray Green Green Orange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow Blue Blue\nGray Gray Green Green Orange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow Blue Blue\nGray Gray Gray Gray Orange Orange Gray Gray Gray Gray Orange Orange Red Red Blue Blue\nGray Gray Gray Gray Orange Orange Gray Gray Gray Gray Orange Orange Red Red Blue Blue\nGray Gray Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Blue Blue\nGray Gray Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Blue Blue\nGray Gray Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Blue Blue\nGray Gray Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Blue Blue\nGray Gray Green Green Gray Gray Pink Pink Blue Blue Brown Brown Blue Blue Blue Blue\nGray Gray Green Green Gray Gray Pink Pink Blue Blue Brown Brown Blue Blue Blue Blue\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPurple Purple Pink Pink Yellow Yellow Brown Brown Green Green Red Red Orange Orange Gray Gray Blue Blue Purple Purple Gray Gray\nPurple Purple Pink Pink Yellow Yellow Brown Brown Green Green Red Red Orange Orange Gray Gray Blue Blue Purple Purple Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Purple Purple Blue Blue\nOrange Orange Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Purple Purple Blue Blue\nGreen Green Black Black Red Red Red Red Black Black Purple Purple Red Red Black Black Black Black Purple Purple Red Red\nGreen Green Black Black Red Red Red Red Black Black Purple Purple Red Red Black Black Black Black Purple Purple Red Red\nBlue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Orange Orange\nBlue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Orange Orange\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown\nPurple Purple Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green\nPurple Purple Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green\nPink Pink Gray Gray Green Green Yellow Yellow Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple Brown Brown\nPink Pink Gray Gray Green Green Yellow Yellow Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple Brown Brown\n\nOutput:\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Pink Pink Yellow Yellow Brown Brown Green Green Red Red Orange Orange Gray Gray Blue Blue Purple Purple Gray Gray Brown Brown\nPurple Purple Purple Purple Pink Pink Yellow Yellow Brown Brown Green Green Red Red Orange Orange Gray Gray Blue Blue Purple Purple Gray Gray Brown Brown\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Purple Purple Blue Blue Brown Brown\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Purple Purple Blue Blue Brown Brown\nPurple Purple Green Green Black Black Red Red Red Red Black Black Purple Purple Red Red Black Black Black Black Purple Purple Red Red Brown Brown\nPurple Purple Green Green Black Black Red Red Red Red Black Black Purple Purple Red Red Black Black Black Black Purple Purple Red Red Brown Brown\nPurple Purple Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Orange Orange Brown Brown\nPurple Purple Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Orange Orange Brown Brown\nPurple Purple Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nPurple Purple Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nPurple Purple Purple Purple Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nPurple Purple Purple Purple Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nPurple Purple Pink Pink Gray Gray Green Green Yellow Yellow Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple Brown Brown Brown Brown\nPurple Purple Pink Pink Gray Gray Green Green Yellow Yellow Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple Brown Brown Brown Brown\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink 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 Green Green Purple Purple Blue Blue Yellow Yellow Brown Brown Pink Pink Red Red Orange Orange Blue Blue\nYellow Yellow Green Green Purple Purple Blue Blue Yellow Yellow Brown Brown Pink Pink Red Red Orange Orange Blue Blue\nRed Red Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Brown Brown\nRed Red Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Brown Brown\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Blue Blue\nBlue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Blue Blue\nBrown Brown Red Red Purple Purple Red Red Red Red Red Red Red Red Purple Purple Red Red Orange Orange\nBrown Brown Red Red Purple Purple Red Red Red Red Red Red Red Red Purple Purple Red Red Orange Orange\nPink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red\nPink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red\nGray Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Pink Pink\nGray Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Pink Pink\nGreen Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green\nGreen Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green\nPurple Purple Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Purple Purple\nPurple Purple Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Purple Purple\nBrown Brown Red Red Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown Green Green Orange Orange Orange Orange\nBrown Brown Red Red Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown Green Green Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Green Green Purple Purple Blue Blue Yellow Yellow Brown Brown Pink Pink Red Red Orange Orange Blue Blue Orange Orange\nYellow Yellow Yellow Yellow Green Green Purple Purple Blue Blue Yellow Yellow Brown Brown Pink Pink Red Red Orange Orange Blue Blue Orange Orange\nYellow Yellow Red Red Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Brown Brown Orange Orange\nYellow Yellow Red Red Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Brown Brown Orange Orange\nYellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Blue Blue Orange Orange\nYellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Blue Blue Orange Orange\nYellow Yellow Brown Brown Red Red Purple Purple Red Red Red Red Red Red Red Red Purple Purple Red Red Orange Orange Orange Orange\nYellow Yellow Brown Brown Red Red Purple Purple Red Red Red Red Red Red Red Red Purple Purple Red Red Orange Orange Orange Orange\nYellow Yellow Pink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Orange Orange\nYellow Yellow Pink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Orange Orange\nYellow Yellow Gray Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Pink Pink Orange Orange\nYellow Yellow Gray Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Pink Pink Orange Orange\nYellow Yellow Green Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green Orange Orange\nYellow Yellow Green Green Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green Orange Orange\nYellow Yellow Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Purple Purple Orange Orange\nYellow Yellow Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Purple Purple Orange Orange\nYellow Yellow Brown Brown Red Red Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown Green Green Orange Orange Orange Orange Orange Orange\nYellow Yellow Brown Brown Red Red Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown Green Green Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Pink Pink Red Red Yellow Yellow Blue Blue Orange Orange\nYellow Yellow Pink Pink Red Red Yellow Yellow Blue Blue Orange Orange\nGreen Green Blue Blue Blue Blue Black Black Blue Blue Brown Brown\nGreen Green Blue Blue Blue Blue Black Black Blue Blue Brown Brown\nYellow Yellow Black Black Blue Blue Blue Blue Blue Blue Red Red\nYellow Yellow Black Black Blue Blue Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Blue Blue Black Black Pink Pink\nRed Red Blue Blue Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Black Black Blue Blue Blue Blue Orange Orange\nPink Pink Blue Blue Black Black Blue Blue Blue Blue Orange Orange\nPurple Purple Yellow Yellow Gray Gray Purple Purple Orange Orange Green Green\nPurple Purple Yellow Yellow Gray Gray Purple Purple Orange Orange 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```\nYellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Pink Pink Red Red Yellow Yellow Blue Blue Orange Orange Green Green\nYellow Yellow Yellow Yellow Pink Pink Red Red Yellow Yellow Blue Blue Orange Orange Green Green\nYellow Yellow Green Green Blue Blue Blue Blue Black Black Blue Blue Brown Brown Green Green\nYellow Yellow Green Green Blue Blue Blue Blue Black Black Blue Blue Brown Brown Green Green\nYellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Red Red Green Green\nYellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Red Red Green Green\nYellow Yellow Red Red Blue Blue Blue Blue Blue Blue Black Black Pink Pink Green Green\nYellow Yellow Red Red Blue Blue Blue Blue Blue Blue Black Black Pink Pink Green Green\nYellow Yellow Pink Pink Blue Blue Black Black Blue Blue Blue Blue Orange Orange Green Green\nYellow Yellow Pink Pink Blue Blue Black Black Blue Blue Blue Blue Orange Orange Green Green\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Purple Purple Orange Orange Green Green Green Green\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Purple Purple Orange Orange Green Green Green Green\nPurple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nPurple Purple Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nPurple Purple Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\nGreen Green Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Green Green\nGreen Green Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Green Green\nBlack Black Black Black Purple Purple Black Black Black Black Green Green Black Black Red Red\nBlack Black Black Black Purple Purple Black Black Black Black Green Green Black Black Red Red\nRed Red Black Black Green Green Black Black Blue Blue Red Red Black Black Black Black\nRed Red Black Black Green Green Black Black Blue Blue Red Red Black Black Black Black\nRed Red Black Black Black Black Purple Purple Red Red Blue Blue Orange Orange Black Black\nRed Red Black Black Black Black Purple Purple Red Red Blue Blue Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nPurple Purple Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nPurple Purple Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\nGreen Green Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Green Green\nGreen Green Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Green Green\nBlack Black Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Red Red\nBlack Black Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Red Red\nRed Red Black Black Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nRed Red Black Black Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nRed Red Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Red Red Green Green Orange Orange Black Black Black Black Black Black\nBlack Black Red Red Green Green Orange Orange Black Black Black Black Black Black\nOrange Orange Red Red Black Black Blue Blue Black Black Black Black Red Red\nOrange Orange Red Red Black Black Blue Blue Black Black Black Black Red Red\nRed Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nRed Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nPurple Purple Black Black Black Black Blue Blue Black Black Orange Orange Blue Blue\nPurple Purple Black Black Black Black Blue Blue Black Black Orange Orange Blue Blue\nRed Red Black Black Black Black Black Black Blue Blue Orange Orange Black Black\nRed Red Black Black Black Black Black Black Blue Blue Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Green Green Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Orange Orange Blue Blue\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Orange Orange Blue Blue\nYellow Yellow Black Black Black Black Black Black Blue Blue Orange Orange Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Purple Purple Black Black Purple Purple\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Purple Purple Black Black Purple Purple\nPurple Purple Green Green Black Black Red Red Blue Blue Black Black Black Black Blue Blue Black Black\nPurple Purple Green Green Black Black Red Red Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nOrange Orange Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nOrange Orange Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black\nBlack Black Black Black Purple Purple Blue Blue Green Green Red Red Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Blue Blue Green Green Red Red Black Black Purple Purple Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Black Black Blue Blue Purple Purple Black Black Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Black Black Blue Blue Purple Purple Black Black Purple Purple\nPurple Purple Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black\nPurple Purple Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nOrange Orange Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nOrange Orange Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black\nBlack Black Black Black Purple Purple Blue Blue Green Green Red Red Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Blue Blue Green Green Red Red Black Black Purple Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Red Red Black Black Green Green Green Green Black Black\nGreen Green Black Black Black Black Black Black Red Red Black Black Green Green Green Green Black Black\nPurple Purple Purple Purple Purple Purple Black Black Red Red Black Black Green Green Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Red Red Black Black Green Green Black Black Purple Purple\nBlack Black Orange Orange Green Green Red Red Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Orange Orange Green Green Red Red Black Black Black Black Black Black Orange Orange Black Black\nRed Red Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Green Green Blue Blue Red Red Black Black Blue Blue Black Black Blue Blue\nPurple Purple Black Black Green Green Blue Blue Red Red Black Black Blue Blue Black Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Green Green Green Green Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Green Green Black Black Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Green Green Black Black Purple Purple\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black\nRed Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Blue Blue\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue 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 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Blue Blue Gray Gray Black Black Brown Brown Brown Brown Blue Blue Black Black Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Blue Blue Gray Gray Black Black Brown Brown Brown Brown Blue Blue Black Black Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Red Red Black Black Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Red Red Black Black Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black 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 Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Blue Blue Brown Brown Blue Blue Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Blue Blue Brown Brown Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown 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 Green Green 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 Black Black Green Green 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 Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green 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 Green Green 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 Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink 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 Pink Pink 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 Pink Pink 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Purple Purple Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Purple Purple Black Black Green Green Green Green Gray Gray Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Purple Purple Black Black Green Green Green Green Gray Gray Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black Gray Gray Blue Blue Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black Gray Gray Blue Blue Black Black\nBlack Black Green Green Green Green Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Gray Gray Blue Blue Black Black\nBlack Black Green Green Green Green Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Gray Gray Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Purple Purple Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Purple Purple Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nYellow Yellow Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Orange Orange Blue Blue Blue Blue Blue Blue Black Black Pink Pink Orange Orange Orange Orange Black Black Black Black\nBlack Black Yellow Yellow Orange Orange Blue Blue Blue Blue Blue Blue Black Black Pink Pink Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Blue Blue Orange Orange Black Black Black Black\nYellow Yellow Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Green Green Green Green Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Green Green Green Green Blue Blue Black Black\nBlue Blue Gray Gray Gray Gray Black Black Purple Purple Red Red Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Gray Gray Gray Black Black Purple Purple Red Red Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Pink Pink Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Pink Pink Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black\nBlue Blue Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black\nBrown Brown Brown Brown Black Black Brown Brown Red Red Yellow Yellow Black Black Red Red Black Black Gray Gray Purple Purple Black Black\nBrown Brown Brown Brown Black Black Brown Brown Red Red Yellow Yellow Black Black Red Red Black Black Gray Gray Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Purple Purple Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Gray Gray Purple Purple 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 Pink Pink Pink Pink Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Gray Gray Black Black Red Red Red Red Orange Orange Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Gray Gray Black Black Red Red Red Red Orange Orange Blue Blue\nBrown Brown Brown Brown Green Green Purple Purple Black Black Pink Pink Pink Pink Red Red Gray Gray Black Black Red Red Purple Purple Purple Purple Black Black\nBrown Brown Brown Brown Green Green Purple Purple Black Black Pink Pink Pink Pink Red Red Gray Gray Black Black Red Red Purple Purple Purple Purple Black Black\nRed Red Blue Blue Orange Orange Orange Orange Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Purple Purple Black Black Black Black\nRed Red Blue Blue Orange Orange Orange Orange Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Purple Purple Black Black Black Black\nRed Red Blue Blue Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nRed Red Blue Blue Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Green Green Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Green Green Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Blue Blue Black Black Blue Blue Blue Blue Orange Orange Gray Gray Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Blue Blue Black Black Blue Blue Blue Blue Orange Orange Gray Gray Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Blue Blue Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Blue Blue Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Gray Gray Black Black Red Red Red Red Orange Orange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Gray Gray Black Black Red Red Red Red Orange Orange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Gray Gray Black Black Red Red Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Gray Gray Black Black Red Red Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Purple Purple Gray Gray 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:\nRed Red Red Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange\nRed Red Red Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange\nRed Red Red Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink\nRed Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red Red Yellow Yellow Yellow\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Purple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Purple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Purple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Purple Purple Purple Red Red Red\nPurple Purple Purple Green Green Green Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Green Green Green Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Green Green Green Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Gray Gray Gray\nPink Pink Pink Purple Purple Purple Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue\nPink Pink Pink Purple Purple Purple Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue\nPink Pink Pink Purple Purple Purple Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Red Red Red Green Green Green Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown\nPink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red\nPink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red\nPink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Red Red Red Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red\nGreen Green Green Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nGreen Green Green Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nGreen Green Green Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Brown Brown Brown Brown Brown Brown Orange Orange Orange Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Red Red Red Pink Pink Pink Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Red Red Red Pink Pink Pink Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Red Red Red Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Blue Blue Blue\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Blue Blue Blue Blue Blue Blue\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Blue Blue Blue Blue Blue Blue\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink Orange Orange Orange Red Red Red Purple Purple Purple\nBlue Blue Blue Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink Orange Orange Orange Red Red Red Purple Purple Purple\nBlue Blue Blue Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink Orange Orange Orange Red Red Red Purple Purple Purple\nPink Pink Pink Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Green Green Green Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Green Green Green Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Green Green Green Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nYellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Green Green Green Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Green Green Green Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Green Green Green Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Pink Pink Pink Blue Blue Blue\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Pink Pink Pink Blue Blue Blue\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Pink Pink Pink Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nGreen Green Green Pink Pink Pink Green Green Green Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red\nGreen Green Green Pink Pink Pink Green Green Green Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red\nGreen Green Green Pink Pink Pink Green Green Green Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Red Red Red Gray Gray Gray Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Red Red Red Gray Gray Gray Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Red Red Red Gray Gray Gray Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red\nBlue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Red Red Red\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Red Red Red\nOrange Orange Orange Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Red Red Red\nGray Gray Gray Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nPink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nPink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red\nBrown Brown Brown Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Red Red Red Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBrown Brown Brown Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Red Red Red Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBrown Brown Brown Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Red Red Red Green Green Green Red Red Red Blue Blue Blue Green Green Green\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Red Red Red Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Red Red Red Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Red Red Red Yellow Yellow Yellow Red Red Red\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange 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\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\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Orange 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 Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Orange 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 Gray Black Black Black 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 Gray Black Black Gray Black Black Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nPink Black Black Black Pink Black Black Black Pink\nBlack Pink Black Black Pink Black Black Pink Black\nBlack Black Pink Black Pink Black Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Black Pink Black Pink Black Black\nBlack Pink Black Black Pink Black Black Pink Black\nPink Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink 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:\nRed Black Red Red Red Black Black Red Red Black Black Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black Black Red Red Red Black Black Red Black Black Black Red Black\nRed Black Black Black Black Red Red Black Black Black Black Red Black Red Black Red Red Black Red Red\nRed Black Black Red Red Black Black Black Red Red Red Black Red Red Red Black Black Black Red Black\nBlack Red Red Black Black Red Red Black Red Black Red Black Red Black Black Red Red Red Black Black\nBlack Black Black Red Black Red Red Black Red Black Black Red Red Red Black Red Red Black Red Red\nBlack Red Red Black Black Red Red Red Black Red Black Red Black Black Black Black Black Red Black Red\nRed Red Red Black Red Red Black Black Red Black Red Red Red Red Red Black Black Black Black Red\nBlack Black Black Black Black Red Red Red Black Black Black Black Red Black Black Black Black Red Red Black\nRed Black Black Black Red Red Red Black Red Red Red Black Black Red Red Black Red Red Red Black\nRed Red Red Black Red Black Red Black Red Black Red Black Red Red Black Black Black Red Red Red\nBlack Black Red Black Red Red Black Black Black Black Black Black Red Black Red Red Red Red Red Red\nBlack Black Black Red Black Black Red Black Red Red Black Red Black Black Black Black Black Red Red Red\nBlack Red Red Black Black Black Red Red Red Red Red Black Red Red Black Black Red Red Black Red\nBlack Red Black Black Red Black Black Black Black Red Red Red Black Red Red Red Red Red Red Red\nRed Black Black Red Red Red Black Black Red Red Black Red Red Red Black Black Black Black Black Black\nRed Red Black Black Black Red Red Red Red Black Red Red Black Red Black Red Red Black Black Black\nBlack Red Black Black Red Red Red Red Red Black Red Red Black Red Black Black Black Red Red Black\nBlack Black Red Red Black Red Black Black Red Black Red Black Black Black Black Red Red Red Black Black\nRed Black Red Black Black Black Black Red Black Black Black Black Red Red Black Black Black Red Black Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Black Red Red Black Red Red Black Red Black Red Red Red Black Black Black Black Red Red Black\nRed Red Red Black Black Black Black Red Black Red Black Red Black Black Red Red Black Black Red Red\nRed Red Black Black Red Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Red Black Black Red Red Red Black Red Black Red Black Black Red Black Black\nBlack Red Black Black Red Black Red Black Red Black Red Red Black Red Red Black Black Red Red Red\nBlack Red Black Black Red Red Red Red Red Black Black Black Red Black Black Black Red Black Black Red\nBlack Red Black Black Black Black Black Red Red Black Black Black Red Black Red Black Red Red Black Red\nRed Black Red Black Black Black Black Black Red Red Red Black Black Red Red Red Red Black Red Black\nBlack Black Red Black Red Black Black Black Black Red Black Black Red Black Red Red Black Red Red Black\nBlack Black Red Black Black Black Red Black Red Red Black Black Black Black Black Red Black Red Red Red\nRed Red Black Black Red Red Black Black Red Red Black Black Black Red Black Black Black Red Red Red\nRed Red Black Black Red Red Red Black Red Black Red Black Black Red Red Red Black Black Black Red\nRed Red Red Red Red Red Black Red Black Black Red Black Red Black Black Black Red Red Black Black\nBlack Red Black Black Red Black Black Red Red Red Red Red Black Black Red Red Red Red Black Red\nBlack Black Red Red Red Red Black Black Red Red Red Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Red Black Black Red Red Black Black Black Red Red Black Red Red\nRed Red Red Red Red Black Black Black Black Red Red Red Black Red Black Black Red Red Red Red\nRed Black Red Red Red Red Black Black Red Black Black Red Black Red Red Black Black Red Red Red\nRed Black Red Red Red Red Black Black Red Black Red Red Red Black Black Black Black Black Black Red\nBlack Black Black Black Black Red Red Red Red Black Black Black Red Red Black Black Red Red Black Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Red Black Black Black Black Red Red Black Red Black Red Red Red Red Black Red Red\nBlack Red Red Red Red Red Red Red Black Red Black Black Red Red Black Red Red Black Red Red\nBlack Red Black Red Red Black Black Red Black Red Red Black Black Red Black Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Red Black Red Red Black Black Black Black Red Black\nBlack Red Black Black Red Red Black Black Black Red Red Black Red Red Black Red Red Red Red Red\nBlack Red Black Black Red Black Black Red Red Black Red Black Black Red Red Red Black Red Black Black\nBlack Red Red Red Red Black Red Red Red Black Red Black Red Black Black Black Black Red Red Red\nRed Red Black Red Black Red Black Black Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Black Red Black Red Black Black Red Red Black Black Black Red Red Black Red\nBlack Red Red Red Red Black Red Black Red Black Red Red Black Black Red Red Black Black Red Black\nBlack Black Red Red Red Black Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Black Black Black Red Black Red Black Black Red Red Black Red Black Red Black Black Red Black Red\nRed Red Black Red Black Red Red Black Red Black Red Red Red Red Red Black Red Black Black Black\nRed Black Black Red Black Black Black Black Red Black Red Black Black Black Red Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black Black Black Red Black Black Red Red Black Red Red\nBlack Red Red Red Black Red Black Red Black Red Red Black Black Red Black Red Black Black Red Black\nBlack Red Red Black Black Black Black Red Red Black Black Red Red Black Black Black Red Black Black Red\nBlack Red Red Black Black Red Red Red Red Black Red Black Black Red Red Black Red Black Black Red\nRed Black Black Black Red Red Black Black Red Black Red Black Red Black Red Black Red Red Red Black\nBlack Red Red Red Black Red Black Red Red Red Red Red Red Red Red Black Red Red Red Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Red Red Black Black Red Black Black Black Red Red Black Black Black Black Black Red Black\nRed Black Red Black Black Red Black Red Black Black Red Black Red Red Red Red Black Black Black Red\nRed Red Black Black Black Red Black Black Black Black Red Red Red Red Black Red Black Black Red Red\nRed Red Red Black Red Black Black Red Red Red Red Red Red Red Red Black Red Black Red Black\nRed Red Red Black Black Black Black Black Black Red Black Red Red Black Red Black Red Red Red Black\nBlack Red Black Red Red Red Black Red Red Red Red Black Red Red Red Black Black Red Black Red\nRed Black Red Black Black Black Red Black Red Black Black Black Black Red Red Red Black Red Red Black\nRed Black Red Red Black Red Red Black Black Red Black Red Red Red Red Black Black Red Red Red\nBlack Red Red Black Red Red Black Black Red Black Black Red Black Black Black Black Red Red Black Black\nRed Red Red Red Black Black Red Black Black Black Red Red Red Black Black Black Red Red Red Black\nBlack Red Red Black Black Red Black Black Red Red Red Black Red Red Black Black Red Black Black Black\nRed Black Black Black Black Black Red Black Black Red Red Red Red Black Black Black Red Black Red Red\nRed Red Red Red Black Red Black Black Black Black Black Black Red Red Black Red Black Black Black Black\nRed Red Red Red Black Red Black Black Red Red Black Red Red Black Black Red Black Black Red Red\nBlack Red Red Red Red Black Red Red Black Black Red Black Black Red Black Red Black Black Red Red\nRed Black Red Red Red Red Red Red Red Black Red Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Red Red Black Red Red Black Black Red Red Black\nBlack Red Black Red Red Red Black Red Red Red Red Red Black Black Black Black Red Red Black Red\nBlack Red Black Red Black Red Red Black Black Red Black Black Black Black Black Red Red Red Black Black\nBlack Red Black Black Red Red Black Black Red Black Red Black Black Black Red Black Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Pink Orange Purple Blue Pink Orange Gray Brown Red Gray Blue Pink Orange Blue Orange Red\nBrown Purple Purple Yellow Purple Red Green Orange Brown Pink Blue Orange Purple Red Orange Purple Gray\nYellow Purple Red Pink Pink Red Pink Orange Green Yellow Pink Purple Gray Green Pink Pink Blue\nYellow Red Blue Red Brown Red Blue Brown Brown Yellow Brown Purple Blue Gray Brown Gray Brown\nBrown Gray Brown Gray Red Green Pink Yellow Blue Gray Pink Red Green Red Purple Gray Brown\nYellow Purple Brown Pink Yellow Blue Purple Orange Pink Orange Brown Gray Blue Purple Orange Blue Red\nOrange Yellow Pink Green Pink Green Yellow Purple Yellow Purple Yellow Yellow Gray Yellow Yellow Green Green\nRed Orange Red Blue Red Orange Green Orange Yellow Orange Purple Red Brown Orange Gray Orange Orange\nOrange Blue Purple Orange Red Orange Gray Purple Purple Pink Yellow Green Orange Purple Gray Blue Brown\nYellow Yellow Brown Green Pink Orange Purple Yellow Red Brown Blue Red Pink Green Orange Green Blue\nBrown Pink Pink Blue Brown Purple Orange Green Orange Purple Yellow Purple Red Gray Red Purple Brown\nBlue Gray Purple Orange Red Green Blue Purple Blue Green Brown Gray Green Gray Yellow Yellow Blue\nBrown Orange Green Purple Blue Green Red Yellow Pink Purple Purple Purple Yellow Orange Purple Purple Orange\n\nOutput:\nGray Gray Gray Gray Green Gray Gray Black Gray Blue Black Green Gray Gray Green Gray Blue\nGray Gray Gray Red Gray Blue Yellow Gray Gray Gray Green Gray Gray Blue Gray Gray Black\nRed Gray Blue Gray Gray Blue Gray Gray Yellow Red Gray Gray Black Yellow Gray Gray Green\nRed Blue Green Blue Gray Blue Green Gray Gray Red Gray Gray Green Black Gray Black Gray\nGray Black Gray Black Blue Yellow Gray Red Green Black Gray Blue Yellow Blue Gray Black Gray\nRed Gray Gray Gray Red Green Gray Gray Gray Gray Gray Black Green Gray Gray Green Blue\nGray Red Gray Yellow Gray Yellow Red Gray Red Gray Red Red Black Red Red Yellow Yellow\nBlue Gray Blue Green Blue Gray Yellow Gray Red Gray Gray Blue Gray Gray Black Gray Gray\nGray Green Gray Gray Blue Gray Black Gray Gray Gray Red Yellow Gray Gray Black Green Gray\nRed Red Gray Yellow Gray Gray Gray Red Blue Gray Green Blue Gray Yellow Gray Yellow Green\nGray Gray Gray Green Gray Gray Gray Yellow Gray Gray Red Gray Blue Black Blue Gray Gray\nGreen Black Gray Gray Blue Yellow Green Gray Green Yellow Gray Black Yellow Black Red Red Green\nGray Gray Yellow Gray Green Yellow Blue Red Gray Gray Gray Gray Red Gray Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Green Red Brown Gray Orange Blue Red Gray Pink Red Brown Gray Brown Blue\nOrange Purple Purple Green Orange Green Green Gray Orange Pink Yellow Blue Purple Yellow Purple\nBrown Pink Green Orange Gray Brown Orange Brown Red Blue Blue Red Brown Blue Pink\nPurple Green Orange Pink Green Green Brown Blue Brown Pink Pink Pink Yellow Blue Blue\nPurple Orange Yellow Red Yellow Yellow Brown Purple Green Blue Gray Orange Purple Purple Gray\nBrown Gray Blue Gray Orange Red Brown Green Pink Orange Pink Brown Green Blue Green\nGray Purple Yellow Pink Pink Blue Purple Gray Brown Green Orange Orange Gray Purple Green\nPink Red Blue Purple Green Pink Purple Blue Red Purple Red Pink Orange Purple Blue\nYellow Blue Orange Green Gray Pink Purple Yellow Orange Orange Blue Red Blue Purple Blue\nYellow Red Pink Brown Red Purple Blue Blue Brown Pink Gray Gray Blue Yellow Pink\nRed Yellow Pink Yellow Yellow Orange Purple Orange Orange Yellow Yellow Purple Brown Green Purple\nGreen Pink Orange Purple Orange Orange Green Red Blue Purple Yellow Red Gray Purple Yellow\n\nOutput:\nRed Yellow Blue Gray Black Gray Green Blue Black Gray Blue Gray Black Gray Green\nGray Gray Gray Yellow Gray Yellow Yellow Black Gray Gray Red Green Gray Red Gray\nGray Gray Yellow Gray Black Gray Gray Gray Blue Green Green Blue Gray Green Gray\nGray Yellow Gray Gray Yellow Yellow Gray Green Gray Gray Gray Gray Red Green Green\nGray Gray Red Blue Red Red Gray Gray Yellow Green Black Gray Gray Gray Black\nGray Black Green Black Gray Blue Gray Yellow Gray Gray Gray Gray Yellow Green Yellow\nBlack Gray Red Gray Gray Green Gray Black Gray Yellow Gray Gray Black Gray Yellow\nGray Blue Green Gray Yellow Gray Gray Green Blue Gray Blue Gray Gray Gray Green\nRed Green Gray Yellow Black Gray Gray Red Gray Gray Green Blue Green Gray Green\nRed Blue Gray Gray Blue Gray Green Green Gray Gray Black Black Green Red Gray\nBlue Red Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Yellow Gray\nYellow Gray Gray Gray Gray Gray Yellow Blue Green Gray Red Blue Black Gray Red\n\n\nExample 3\nInput:\nYellow Orange Pink Green Green Yellow Gray Gray Purple Pink Brown Blue Purple Brown Pink Purple\nPurple Green Gray Purple Purple Brown Green Pink Orange Yellow Green Gray Brown Blue Pink Pink\nGreen Orange Pink Purple Brown Purple Gray Purple Purple Red Purple Yellow Red Green Gray Red\nOrange Orange Orange Gray Green Brown Red Gray Brown Blue Purple Green Orange Gray Green Purple\nBrown Yellow Purple Pink Orange Pink Pink Pink Green Purple Red Yellow Yellow Red Brown Orange\nRed Red Blue Gray Yellow Brown Red Pink Gray Brown Brown Blue Brown Blue Purple Orange\nYellow Green Pink Orange Gray Yellow Purple Yellow Pink Green Gray Blue Yellow Gray Blue Gray\nBrown Purple Blue Yellow Pink Yellow Orange Green Green Yellow Blue Yellow Green Purple Brown Green\nYellow Brown Green Blue Orange Blue Blue Blue Gray Orange Green Blue Green Green Purple Yellow\nYellow Red Blue Green Gray Yellow Pink Red Blue Orange Orange Purple Blue Green Pink Blue\nGreen Pink Pink Blue Orange Red Purple Blue Blue Pink Green Gray Purple Green Yellow Blue\nRed Blue Purple Gray Purple Green Red Yellow Pink Gray Orange Gray Orange Purple Yellow Orange\n\nOutput:\nRed Gray Gray Yellow Yellow Red Black Black Gray Gray Gray Green Gray Gray Gray Gray\nGray Yellow Black Gray Gray Gray Yellow Gray Gray Red Yellow Black Gray Green Gray Gray\nYellow Gray Gray Gray Gray Gray Black Gray Gray Blue Gray Red Blue Yellow Black Blue\nGray Gray Gray Black Yellow Gray Blue Black Gray Green Gray Yellow Gray Black Yellow Gray\nGray Red Gray Gray Gray Gray Gray Gray Yellow Gray Blue Red Red Blue Gray Gray\nBlue Blue Green Black Red Gray Blue Gray Black Gray Gray Green Gray Green Gray Gray\nRed Yellow Gray Gray Black Red Gray Red Gray Yellow Black Green Red Black Green Black\nGray Gray Green Red Gray Red Gray Yellow Yellow Red Green Red Yellow Gray Gray Yellow\nRed Gray Yellow Green Gray Green Green Green Black Gray Yellow Green Yellow Yellow Gray Red\nRed Blue Green Yellow Black Red Gray Blue Green Gray Gray Gray Green Yellow Gray Green\nYellow Gray Gray Green Gray Blue Gray Green Green Gray Yellow Black Gray Yellow Red Green\nBlue Green Gray Black Gray Yellow Blue Red Gray Black Gray Black Gray Gray Red Gray\n\n\nHere is the input grid for the test example:\nInput:\nGreen Brown Red Blue Orange Green Brown Green Yellow Gray Gray Orange Pink Red\nBlue Green Orange Purple Green Blue Brown Pink Brown Red Pink Gray Brown Red\nYellow Red Brown Pink Purple Brown Brown Blue Orange Orange Gray Pink Green Pink\nGray Red Orange Green Orange Red Yellow Pink Brown Purple Brown Pink Blue Green\nYellow Green Pink Blue Purple Orange Orange Green Green Yellow Brown Gray Orange Pink\nBrown Gray Purple Brown Orange Brown Red Red Gray Blue Green Gray Red Green\nGreen Blue Pink Purple Green Orange Orange Pink Orange Pink Pink Red Gray Red\nPurple Orange Brown Pink Yellow Red Brown Green Orange Orange Purple Pink Red Yellow\nGray Brown Blue Orange Orange Yellow Pink Gray Orange Purple Pink Yellow Purple Blue\nRed Blue Yellow Yellow Purple Green Orange Blue Gray Yellow Purple Pink Pink Gray\nGreen Red Gray Blue Yellow Gray Red Pink Yellow Brown Orange Yellow Purple Orange\nPink Orange Blue Gray Gray Gray Blue Pink Orange Purple Orange Gray Brown Yellow\nGreen Gray Brown Gray Gray Pink Blue Red Orange Pink Orange Brown Brown Yellow\nPurple Brown Orange Green Blue Orange Purple Purple Brown Red Brown Blue Gray Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Gray Blue Green Gray Yellow Gray Yellow Red Black Black Gray Gray Blue\nGreen Yellow Gray Gray Yellow Green Gray Gray Gray Blue Gray Black Gray Blue\nRed Blue Gray Gray Gray Gray Gray Green Gray Gray Black Gray Yellow Gray\nBlack Blue Gray Yellow Gray Blue Red Gray Gray Gray Gray Gray Green Yellow\nRed Yellow Gray Green Gray Gray Gray Yellow Yellow Red Gray Black Gray Gray\nGray Black Gray Gray Gray Gray Blue Blue Black Green Yellow Black Blue Yellow\nYellow Green Gray Gray Yellow Gray Gray Gray Gray Gray Gray Blue Black Blue\nGray Gray Gray Gray Red Blue Gray Yellow Gray Gray Gray Gray Blue Red\nBlack Gray Green Gray Gray Red Gray Black Gray Gray Gray Red Gray Green\nBlue Green Red Red Gray Yellow Gray Green Black Red Gray Gray Gray Black\nYellow Blue Black Green Red Black Blue Gray Red Gray Gray Red Gray Gray\nGray Gray Green Black Black Black Green Gray Gray Gray Gray Black Gray Red\nYellow Black Gray Black Black Gray Green Blue Gray Gray Gray Gray Gray Red\nGray Gray Gray Yellow Green Gray Gray Gray Gray Blue Gray Green 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black Black Blue\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Blue Black Black Black Black\nBlue Black Black Black Black Gray Black Black Black Gray Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Gray Black Black Black Black Black Gray Blue Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Blue Gray Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Black Black Black Blue Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Blue Black Black Black Blue Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Blue Black Blue Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Gray\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Blue 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Red\nGray Black Gray Black Black Red Black\nRed Gray Black Black Red Black Black\nGray Red Gray Red Black Black Black\nBlack Black Red Gray 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 Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Brown Red\nBlack Black Black Black Brown Red Black\nRed Black Black Brown Red Black Black\nBrown Red Brown Red Black Black Black\nBlack Brown Red Black Black Black Black\nBrown Red Brown Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Orange\nBlack Black Black Yellow Black Yellow Black Orange Black\nBlack Black Yellow Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Orange Black Yellow Black\nYellow Black Black Black Orange Black Black Black Yellow\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Blue Red Red Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green\nRed Red Blue Blue Blue Green Green Green Green\nRed Red Blue Blue Red Green Green Green Green\nRed Red Blue Blue Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Green Green Green Green Green Yellow Yellow\nRed Red Green Green Green Green Green Yellow Yellow\nRed Red Green Green Green Green Green Blue Blue\nBlue Blue Blue Blue Blue Green Green Red Red\nBlue Blue Blue Blue Blue Green Green Red Red\nBlue Blue Blue Blue Blue Green Green Red Red\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 Red Black Black Black Black Red Black\nBlack Black Black Black Black Yellow 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 Blue Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Red Red Red Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Red Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Brown\nBlack Black Black Black Yellow Black Brown Brown Brown Black\nBlack Black Black Yellow Yellow Black Black Brown Black Black\nBlack Black Yellow Yellow Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown\nBrown Brown Brown Black\nBlack Brown Black Black\nBlack Brown Black Black\nBlack Brown 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 Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Yellow Yellow Black Black Orange\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Red Red Red Black Black Orange Orange Orange Orange\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Black\nOrange Orange Black Black\nOrange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Gray Gray Gray Gray Black\nBlack Pink Pink Black Black Gray Gray Gray Gray Black\nBlack Pink Pink Black Black Gray Gray Black Black Black\nBlack Pink Pink Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nRed 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple Purple Purple Purple 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 Green Orange Black Black\nRed Blue Blue Blue Black Black Black Black Black Black Orange Orange Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Orange Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Blue Black Black Black Black Black Black Black\nBlack Black Red Red Red Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Orange Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Black\nYellow Black Black Black Black Black Black Black Black Black Black Red Black\nYellow Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Orange Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Orange Yellow Black Black Black Black Green Yellow Yellow Green Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Green Black Black Green Black Black Blue Yellow Yellow Blue Black\nBlack Purple Purple Purple Purple Black Black Black Blue Blue Black Black\nBlack Gray Purple Purple Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Green Black Black Black Black Black Black Orange Orange Black\nBlack Black Green Green Black Black Black Black Black Brown Green Black\nBlack Black Black Green Green Black Black Black Black Gray Blue Black\nBlack Black Black Black Black Black Black Black Black Brown Green Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Orange Yellow Black Black Black Black Green Yellow Yellow Green Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Green Black Black Green Black Black Blue Yellow Yellow Blue Black\nBlack Purple Purple Purple Purple Black Black Black Blue Blue Black Black\nBlack Gray Purple Purple Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Green Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Green Green Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Green Green Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow 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 Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Blue Orange Black Black Black Black Black Black Black\nGray Orange Red Red Red Black Black Black Black Pink Pink Black\nBlack Black Red Red Red Black Black Black Black Pink Brown Black\nGray Orange Red Red Red Black Black Black Black Pink Black Black\nRed Red Red Blue Orange Black Black Black Black Pink Brown Black\nBlack Black Black Black Black Black Black Black Black 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\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 Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Pink Pink Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Pink Brown Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Pink Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Pink Brown Black\nBlack Black Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Green Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Blue Blue Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Green 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Pink Yellow Pink Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Purple Purple Blue Red Red\nBlack Black Black Black Pink Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow 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\nBlack Black Black Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Pink Yellow Pink Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Pink Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black 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 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black\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 Black Black Black\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 Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black 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 Black Black Black 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 Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 Black Gray 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 Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black 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 Black Black Black 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 Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black 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 Black Black Black 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 Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nPink Pink Black Black Black Black Black Black Pink Black\nPink Pink Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\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\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Blue Blue Blue Black Black Black\nBlack Pink Pink Black Blue Blue Blue Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Orange Orange Black Black\nBlack Black Black Black Black Yellow Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Purple Purple Black Blue Yellow Yellow Black Black Black\nBlack Purple Purple Black Blue Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Purple Black Red Black Red Black Black Black\nPurple Purple Purple Black Red Red Red Black Black Black\nBlack Purple Purple Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Green Green Black Black Black Black Orange Black Black\nBlack Green Green Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Green Green Green Black Black Black\nGray Gray Gray Black Green Green Green Black Black Black\nGray Gray Gray Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Blue Blue Black Black Black Pink Pink Black Black\nBlack Blue Blue 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 Gray Gray Black\nBlack Gray Gray Gray Black Black Gray Gray Gray Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black\nBlack Black Black Black Brown Brown Brown 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 Brown Brown Brown Black\nBlack Gray Brown Brown Black Black Brown Brown Brown Black\nBlack Gray Brown Brown Black Black Brown Brown Brown Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Red Red Black Black Black\nBlack Black Black Black Brown Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Black\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Black Black Purple\nPurple Black Black Purple\nPurple Purple Purple Purple\n\nOutput:\nPurple Black Black Purple Purple Black Black Purple\nPurple Black Black Purple Purple Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black\nBlack Yellow Black Black\nBlack Yellow Black Black\nYellow Yellow Yellow Black\n\nOutput:\nYellow Yellow Yellow Black\nBlack Yellow Black Black\nBlack Yellow Black Black\nYellow Yellow Yellow Black\nYellow Yellow Yellow Black\nBlack Yellow Black Black\nBlack Yellow Black Black\nYellow Yellow Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black 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 Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Black\n\nOutput:\nBlack Orange Black Black Black Black Black Orange Black\nRed Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Gray Black Black Black Gray Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Pink\nYellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Red Black Red Black Black Black\nBlack Blue Black Black Black Black Black Blue 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\nBlack Black Black Black Orange Black Pink Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nGray Pink Black Orange Orange Black Pink Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Brown Brown Black Black Pink\nBlack Black Black Black Black Black Black Black\nBlack Brown Black Orange Orange Black 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:\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Blue Blue Blue Blue Green Green Green Green\nGray Gray Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\n\nOutput:\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nGray Gray Blue Blue Blue Blue Green Green Green Green\nGray Gray Blue Blue Blue Blue Green Green Green Green\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Blue Blue Blue Blue Green Green Green Green\nGray Gray Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\n\n\nExample 2\nInput:\nRed Red Red Red Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Purple Purple Pink Pink Blue Blue\nGreen Green Purple Purple Pink Pink Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\n\nOutput:\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\nGreen Green Purple Purple Pink Pink Blue Blue\nGreen Green Purple Purple Pink Pink Blue Blue\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Purple Purple Pink Pink Blue Blue\nGreen Green Purple Purple Pink Pink Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Gray Gray Red Red Red Red Red Red\nBlue Blue Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\n\nOutput:\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nBlue Blue Gray Gray Red Red Red Red Red Red\nBlue Blue Gray Gray Red Red Red Red Red Red\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Gray Gray Red Red Red Red Red Red\nBlue Blue Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Blue Blue Purple Purple\nPink Pink Blue Blue Purple Purple\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Pink Pink Red Red\nBlue Blue Pink Pink Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Pink Pink Red Red\nBlue Blue Pink Pink Red Red\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow\nPink Pink Blue Blue Purple Purple\nPink Pink Blue Blue Purple Purple\nPink Pink Blue Blue Purple Purple\nPink Pink Blue Blue Purple Purple\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Pink Pink Red Red\nBlue Blue Pink Pink Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange\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 Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue 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 Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue 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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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 Gray Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Orange Black Orange Black Orange Orange Black Black Orange Black Orange Orange Orange Black Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Red Red Red Orange Orange Orange Black Orange Black Orange Orange Red Red Red Orange Black\nBlack Orange Orange Orange Red Red Red Black Orange Orange Orange Black Orange Orange Black Red Red Red Black Orange\nOrange Orange Orange Black Red Red Red Black Orange Black Orange Black Black Orange Orange Red Red Red Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Red Red Red Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Red Red Red Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Red Red Red Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Black Orange Black Orange Black Orange Orange Black Black Orange Black Orange Orange Orange Black Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Black Black Black Orange Orange Orange Black Orange Black Orange Orange Black Black Black Orange Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange Orange Black Orange Orange Black Black Black Black Black Orange\nOrange Orange Orange Black Black Black Black Black Orange Black Orange Black Black Orange Orange Black Black Black Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Black Black Black Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Black Black Black Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange\n\n\nExample 2\nInput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Red Red Red Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Red Red Red Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nBlack Red Red Red Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Red Red Red Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Red Red Red Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Red Red Red Yellow Black Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Red Red Red Yellow Yellow Black Red Red Red Black Black\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Red Red Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Red Red Red Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\nBlack Black Red Red Red Pink Black Red Red Red Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Red Red Red Black Pink Red Red Red Pink Black Pink Black Black Pink Black Black Black Pink\nPink Pink Pink Pink Pink Pink Black Red Red Red Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black Black Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Black Black Black Black Pink Black Black Black Pink Black Pink Black Black Pink Black Black Black Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink 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:\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Yellow Yellow Black Black Black\nBlack Black Brown Brown Brown Yellow Yellow Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Black Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Yellow Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Gray\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Blue Black Black Black\nBlack Blue Blue Black Blue Blue Blue Black Black Yellow\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Yellow Black Black Gray Gray Gray Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Yellow Black Black Blue Blue Blue Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Gray Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Brown Brown Brown Brown Black Pink Pink Pink\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Pink Yellow Pink Brown\n\nOutput:\nPurple Orange Pink Yellow Pink Brown\nPurple Orange Pink Yellow Pink Brown\nPurple Orange Pink Yellow Pink Brown\n\n\nExample 2\nInput:\nPink Orange Yellow Blue Red\n\nOutput:\nPink Orange Yellow Blue Red\nPink Orange Yellow Blue Red\nPink Orange Yellow Blue Red\n\n\nExample 3\nInput:\nOrange Gray Brown Yellow Yellow\n\nOutput:\nOrange Gray Brown Yellow Yellow\nOrange Gray Brown Yellow Yellow\nOrange Gray Brown Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Gray Green Pink Brown 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 Pink Gray Green Pink Brown Gray\nGray Pink Gray Green Pink Brown Gray\nGray Pink Gray Green Pink Brown Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Red Black Black Black Red Black Black\nRed Black Black Black Red Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Black Black Black Red Black Black\nRed Black Black Black Red Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black\nBlack Black Red Red Red Black Black Red\nBlack Black Red Red Red Black Black Red\nRed Red Red Black Black Red Red Red\nRed Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black\nBlack Black Red Red Red Black Black Red\nBlack Black Red Red Red Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Green Green Green 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```\nGreen Green Green Green Green Green Green Green Green\nBlack Black Green Black Black Green Black Black Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nBlack Black Green Black Black Green Black Black Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nBlack Black Green Black Black Green Black Black Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple 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 Green Green Black Black Purple Purple Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Purple Purple Black Black Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Blue Blue Black Black\nBrown Brown Orange Orange Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Orange Orange Black Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Blue Blue Gray Gray Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Blue Blue Gray Gray Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Blue Blue Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nExample 2\nInput:\nBlack Black Gray Gray Black Black Orange Orange Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Gray Gray Black Black Orange Orange Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Gray Gray Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Gray Gray 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\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\nBrown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Brown Brown Black Black Green Green\nBrown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Brown Brown Black Black Green Green\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Black Black Black Orange Orange\nBlack Black Black Black Orange Orange\nBlack Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray\nBlack Black Green Green Green Green\nBlack Black Green Green Green Green\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlack Black Black Black Pink Pink\nBlack Black Black Black Pink Pink\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlue Blue Black Black Black Black Black Black Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue Black Black Green Green\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue Black Black Green Green\nBrown Brown Pink Pink Black Black Blue Blue Purple Purple Black Black Blue Blue Green Green Black Black Black Black Black Black\nBrown Brown Pink Pink Black Black Blue Blue Purple Purple Black Black Blue Blue Green Green Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Yellow Orange Orange Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Orange Orange Black Black Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Black Black Orange Orange Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Orange Orange Purple Purple Blue Blue Black Black Black Black Black Black\nPink Pink Black Black Black Black Purple Purple Blue Blue Black Black Black Black Green Green Black Black\nPink Pink Black Black Black Black Purple Purple Blue Blue Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown\nPink Pink Orange Orange Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Blue Blue Pink Pink\nPink Pink Orange Orange Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Blue Blue Pink Pink\nRed Red Black Black Orange Orange Pink Pink Blue Blue Black Black Gray Gray Green Green Black Black\nRed Red Black Black Orange Orange Pink Pink Blue Blue Black Black Gray Gray Green Green Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Blue Blue Purple Purple Green Green Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Blue Blue Purple Purple Green Green Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Black Black\nBrown Brown Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Blue Blue Blue Black Brown Brown Brown Brown Black\nBlack Blue Blue Blue Black Brown Brown Brown Brown Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black 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\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 Purple Purple Black Black Black Black Green Green Green\nBlack Purple Purple Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Green Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Green Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\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 Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Gray Gray Black Orange Orange\nBlack Black Black Gray Gray Gray Gray Black Orange Orange\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Blue Blue Black\nBlack Gray Gray Gray Gray Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray 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\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green 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 Green Green Green 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 Green Green Green 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green 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 Green Green Green 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 Green Green Green 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Red\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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 Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red 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\nBlack Black Black Black Black Black 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 Red Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red 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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Black 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\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Blue Blue Blue Black Black Orange Orange Black Black\nBlack Yellow Yellow Yellow Black Black Red Red Black Black\nBlack Black Yellow Black Black Black Red Red Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Yellow Gray Yellow Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Gray Yellow Blue Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Blue Blue Black Black Black Black\nBlack Black Gray Orange Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Orange Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\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 Brown Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Yellow Yellow Yellow Orange Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Orange Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Orange Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Black Black\nGray Brown Brown Black\nBlack Brown Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Brown Black Black\nBlue Brown Brown Black\nBlack Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Purple Orange Orange Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Orange Black Black\nBlack Gray Orange Purple Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Blue Red Orange Black\nBlack Black Pink Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Orange Black Black\nBlack Blue Red Pink Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Green Black Black Black\nBlack Red Brown Orange Black Black\nBlack Black Green Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Orange Black Black Black\nBlack Green Brown Green Black Black\nBlack Black Red 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 Brown Brown Brown Black Brown\nBlack Black Black Black Black Black Purple Brown Black Purple Purple Brown\nBlack Black Black Black Black Black Purple Black Brown Purple Purple Black\nBlack Black Black Black Black Black Brown Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Black Brown\nBlack Black Black Black Black Black Purple Brown Black Purple Purple Brown\nBrown Purple Purple Black Brown Purple Purple Black Brown Purple Purple Black\nBrown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown\nBrown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown\nBlack Purple Purple Brown Black Purple Purple Brown Black Purple Purple Brown\nBrown Purple Purple Black Brown Purple Purple Black Brown Purple Purple Black\nBrown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown\n\nOutput:\nPurple Brown Brown Brown Purple Brown Purple Purple Brown Purple Purple Purple\nPurple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown\nPurple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Brown Brown Purple Brown Purple Purple Purple Brown\nPurple Brown Brown Brown Purple Brown Purple Purple Brown Purple Purple Purple\nPurple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown\nPurple Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown\nPurple Brown Brown Purple Purple Brown Purple Brown Brown Purple Purple Brown\nPurple Brown Brown Purple Purple Brown Purple Brown Brown Purple Purple Brown\nBrown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown\nPurple Brown Brown Purple Purple Brown Purple Brown Brown Purple Purple Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Blue Yellow Yellow\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Blue Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Yellow Black Black Yellow Black Yellow\nYellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\n\nOutput:\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black\nYellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Green Red Red Red Red Green Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Green Red Red\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Green Red Red Red Red Green Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Green Red Red Red Red Green Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Red Black Black Black Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Brown Black Black Brown Black\nBrown Blue Brown Brown Blue Brown Brown Blue Brown\nBlack Brown Black Black Brown Black Black Brown Black\nBlack Brown Black Black Black Black Black Black Black\nBrown Blue Brown Brown Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Black Brown Brown Brown Black Brown Black\nBlue Brown Brown Blue Brown Blue Brown Brown Brown\nBrown Brown Black Brown Brown Brown Black Brown Black\nBrown Brown Black Brown Brown Brown Black Brown Black\nBlue Brown Brown Blue Brown Brown Brown Blue Brown\nBrown Brown Black Brown Brown Brown Black Brown Black\n```",
"role": "assistant"
}
]
|
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