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You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Black Orange Black Purple Purple Row 2: Black Purple Purple Orange Purple Orange Output: Row 1: Purple Black Orange Black Purple Purple Purple Purple Black Orange Black Purple Row 2: Black Purple Purple Orange Purple Orange Orange Purple Orange Purple Purple Black Example 2 Input: Row 1: Black Black Brown Black Purple Black Pink Black Row 2: Black Black Yellow Blue Brown Black Black Black Row 3: Black Black Red Black Brown Brown Brown Brown Row 4: Orange Orange Black Black Orange Green Blue Black Row 5: Black Black Black Purple Black Orange Green Green Row 6: Black Pink Black Yellow Brown Black Black Black Row 7: Black Green Brown Black Black Purple Black Blue Row 8: Red Green Pink Black Black Purple Black Brown Row 9: Brown Black Purple Black Black Black Black Purple Row 10: Black Black Black Black Black Brown Black Purple Row 11: Black Black Black Purple Green Purple Brown Black Row 12: Blue Black Brown Black Black Red Black Black Row 13: Black Black Black Black Black Orange Black Black Row 14: Black Black Black Black Black Blue Blue Purple Row 15: Black Black Orange Black Yellow Red Black Brown Row 16: Purple Black Brown Black Pink Black Green Black Row 17: Black Black Black Green Black Black Black Orange Row 18: Black Black Blue Black Black Black Black Brown Row 19: Blue Blue Brown Black Brown Black Orange Black Row 20: Black Green Black Purple Black Green Purple Blue Row 21: Black Green Purple Black Orange Black Black Yellow Output: Row 1: Black Black Brown Black Purple Black Pink Black Black Pink Black Purple Black Brown Black Black Row 2: Black Black Yellow Blue Brown Black Black Black Black Black Black Brown Blue Yellow Black Black Row 3: Black Black Red Black Brown Brown Brown Brown Brown Brown Brown Brown Black Red Black Black Row 4: Orange Orange Black Black Orange Green Blue Black Black Blue Green Orange Black Black Orange Orange Row 5: Black Black Black Purple Black Orange Green Green Green Green Orange Black Purple Black Black Black Row 6: Black Pink Black Yellow Brown Black Black Black Black Black Black Brown Yellow Black Pink Black Row 7: Black Green Brown Black Black Purple Black Blue Blue Black Purple Black Black Brown Green Black Row 8: Red Green Pink Black Black Purple Black Brown Brown Black Purple Black Black Pink Green Red Row 9: Brown Black Purple Black Black Black Black Purple Purple Black Black Black Black Purple Black Brown Row 10: Black Black Black Black Black Brown Black Purple Purple Black Brown Black Black Black Black Black Row 11: Black Black Black Purple Green Purple Brown Black Black Brown Purple Green Purple Black Black Black Row 12: Blue Black Brown Black Black Red Black Black Black Black Red Black Black Brown Black Blue Row 13: Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black Row 14: Black Black Black Black Black Blue Blue Purple Purple Blue Blue Black Black Black Black Black Row 15: Black Black Orange Black Yellow Red Black Brown Brown Black Red Yellow Black Orange Black Black Row 16: Purple Black Brown Black Pink Black Green Black Black Green Black Pink Black Brown Black Purple Row 17: Black Black Black Green Black Black Black Orange Orange Black Black Black Green Black Black Black Row 18: Black Black Blue Black Black Black Black Brown Brown Black Black Black Black Blue Black Black Row 19: Blue Blue Brown Black Brown Black Orange Black Black Orange Black Brown Black Brown Blue Blue Row 20: Black Green Black Purple Black Green Purple Blue Blue Purple Green Black Purple Black Green Black Row 21: Black Green Purple Black Orange Black Black Yellow Yellow Black Black Orange Black Purple Green Black Example 3 Input: Row 1: Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Purple Red Red Red Red Red Row 3: Red Red Purple Red Red Red Red Red Red Row 4: Red Red Red Red Red Red Red Red Red Output: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Purple Red Red Red Row 3: Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red Purple Red Red Row 4: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Here is the input grid for the test example: Input: Row 1: Black Row 2: Brown Row 3: Green Row 4: Gray Row 5: Brown Row 6: Black Row 7: Brown Row 8: Pink Row 9: Brown Row 10: Brown Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Black Black Brown Brown Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Brown Brown Brown Brown
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Pink Blue Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Row 8: Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Row 9: Black Black Black Black Black Black Black Blue Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Yellow Yellow Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Pink Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black 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 Black Black Black Row 15: Black 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 Black Black Black Row 16: 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 Pink Black Black Black Row 17: Black 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 Black Black Black Row 18: Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Row 19: Black Black Black Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Brown Green Black Black Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Row 21: Black Black Black Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Row 23: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Row 2: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Pink Black Black Row 3: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Blue Pink Blue Black Black Black Black Black Pink Black Black Row 4: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Row 5: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Row 6: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Row 7: Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Row 8: Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Row 9: Black Black Black Black Black Black Black Blue Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Yellow Yellow Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Blue Blue Blue Blue Blue Pink Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black 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 Black Black Black Row 15: Black 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 Black Black Black Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Pink Black Black Black Row 17: Black 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 Black Black Black Row 18: Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Row 19: Black Black Black Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Green Green Brown Green Black Black Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Row 21: Black Black Black Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Row 23: Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Example 2 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Red Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Red Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Row 11: Blue Blue Blue Red Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Red Purple Blue Blue Row 12: Blue Blue Red Purple Red Blue Blue Blue Purple Purple Purple Red Purple Purple Purple Blue Blue Blue Purple Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Output: Row 1: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Purple Red Purple Purple Purple Purple Row 3: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Pink Red Pink Pink Pink Pink Pink Pink Row 7: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Row 11: Blue Blue Blue Red Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Red Purple Red Red Row 12: Blue Blue Red Purple Red Blue Blue Blue Purple Purple Purple Red Purple Purple Purple Blue Blue Blue Purple Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Example 3 Input: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Yellow Gray Orange Gray Orange Orange Row 5: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Gray Orange Row 6: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Row 7: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 10: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Row 12: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Black Black Orange Orange Orange Row 13: Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Row 14: Orange Orange Orange Orange Orange Orange Orange Orange Yellow Brown Yellow Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 16: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Gray Orange Orange Orange Orange Row 17: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Row 18: Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Gray Gray Gray Orange Orange Gray Gray Gray Orange Orange Row 19: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Gray Gray Gray Orange Row 20: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Row 21: Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Row 22: Orange Blue Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Gray Orange Row 23: Orange Orange Blue Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Gray Row 24: Orange Orange Orange Orange Black Black Black Orange Gray Black Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Row 25: Orange Orange Orange Black Black Brown Black Black Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 26: Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Black Blue Blue Orange Orange Row 27: Blue Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Row 28: Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Brown Gray Orange Orange Blue Orange Orange Orange Orange Row 29: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Output: Row 1: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Row 3: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Gray Yellow Gray Orange Gray Orange Orange Row 5: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Yellow Gray Yellow Row 6: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Row 7: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 10: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Row 12: Orange Orange Orange Orange Orange Brown Orange Orange Orange Brown Orange Orange Black Orange Orange Orange Orange Brown Black Black Brown Brown Brown Row 13: Orange Orange Orange Orange Orange Brown Orange Orange Orange Yellow Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Row 14: Orange Orange Orange Orange Orange Brown Orange Orange Yellow Brown Yellow Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 16: Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Gray Orange Orange Orange Orange Row 17: Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Row 18: Orange Orange Orange Orange Orange Brown Orange Orange Orange Gray Gray Gray Black Gray Gray Gray Orange Orange Gray Gray Gray Orange Orange Row 19: Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Gray Gray Gray Brown Row 20: Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Row 21: Orange Orange Blue Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Row 22: Yellow Blue Yellow Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Gray Orange Row 23: Orange Orange Blue Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Gray Row 24: Orange Orange Orange Orange Black Black Black Orange Gray Black Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Row 25: Orange Orange Orange Black Black Brown Black Black Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 26: Orange Blue Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Blue Blue Black Blue Blue Orange Orange Row 27: Blue Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Row 28: Orange Blue Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Gray Brown Gray Orange Orange Blue Orange Orange Orange Orange Row 29: Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Gray Orange Orange Orange Black Orange Orange Orange Orange Here is the input grid for the test example: Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Row 4: Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Brown Black Row 5: Black Green Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Gray Gray Gray Row 9: Black Black Black Black Black Black Black Black Black Black Red Black Black Gray Gray Gray Gray Gray Black Row 10: Black Black Black Black Black Gray Black Black Black Red Red Red Black Black Gray Gray Gray Black Black Row 11: Black Black Black Black Gray Purple Gray Black Red Red Purple Red Red Black Black Gray Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Brown Black Black Black Black Green Black Black Purple Black Black Black Black Purple Black Black Black Black Brown Purple Brown Black Purple Green Purple Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Green Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Gray Gray Gray Red Gray Gray Gray Black Black Black Black Black Purple Black Black Black Black Red Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Black Black Black Red Red Red Black Black Gray Gray Gray Black Black Black Black Black Black Gray Purple Gray Black Red Red Purple Red Red Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Blue Brown Brown Blue Brown Purple Brown Brown Brown Brown Brown Blue Brown Pink Row 3: Brown Blue Brown Blue Brown Purple Blue Brown Brown Blue Blue Blue Brown Brown Row 4: Blue Brown Brown Brown Blue Brown Brown Blue Blue Brown Brown Blue Brown Brown Row 5: Brown Brown Brown Brown Blue Purple Brown Blue Brown Blue Purple Brown Brown Blue Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Purple Brown Brown Row 7: Brown Brown Brown Blue Brown Brown Purple Blue Brown Brown Blue Brown Brown Brown Row 8: Brown Blue Blue Brown Blue Blue Brown Blue Pink Brown Brown Brown Brown Blue Output: Row 1: Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Blue Row 2: Blue Brown Brown Blue Brown Purple Brown Brown Brown Brown Brown Blue Brown Pink Pink Brown Blue Brown Brown Brown Brown Brown Purple Brown Blue Brown Brown Blue Row 3: Brown Blue Brown Blue Brown Purple Blue Brown Brown Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Brown Brown Blue Purple Brown Blue Brown Blue Brown Row 4: Blue Brown Brown Brown Blue Brown Brown Blue Blue Brown Brown Blue Brown Brown Brown Brown Blue Brown Brown Blue Blue Brown Brown Blue Brown Brown Brown Blue Row 5: Brown Brown Brown Brown Blue Purple Brown Blue Brown Blue Purple Brown Brown Blue Blue Brown Brown Purple Blue Brown Blue Brown Purple Blue Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Purple Brown Brown Brown Brown Purple Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Blue Brown Brown Purple Blue Brown Brown Blue Brown Brown Brown Brown Brown Brown Blue Brown Brown Blue Purple Brown Brown Blue Brown Brown Brown Row 8: Brown Blue Blue Brown Blue Blue Brown Blue Pink Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Pink Blue Brown Blue Blue Brown Blue Blue Brown Example 2 Input: Row 1: Black Yellow Row 2: Yellow Black Row 3: Black Yellow Row 4: Yellow Black Row 5: Yellow Yellow Row 6: Black Yellow Row 7: Black Yellow Row 8: Black Yellow Row 9: Black Black Row 10: Yellow Black Row 11: Black Black Row 12: Black Yellow Row 13: Black Yellow Row 14: Black Yellow Row 15: Black Yellow Row 16: Yellow Black Row 17: Yellow Black Row 18: Yellow Yellow Output: Row 1: Black Yellow Yellow Black Row 2: Yellow Black Black Yellow Row 3: Black Yellow Yellow Black Row 4: Yellow Black Black Yellow Row 5: Yellow Yellow Yellow Yellow Row 6: Black Yellow Yellow Black Row 7: Black Yellow Yellow Black Row 8: Black Yellow Yellow Black Row 9: Black Black Black Black Row 10: Yellow Black Black Yellow Row 11: Black Black Black Black Row 12: Black Yellow Yellow Black Row 13: Black Yellow Yellow Black Row 14: Black Yellow Yellow Black Row 15: Black Yellow Yellow Black Row 16: Yellow Black Black Yellow Row 17: Yellow Black Black Yellow Row 18: Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Black Gray Gray Gray Gray Gray Brown Yellow Row 2: Brown Black Green Purple Black Gray Gray Brown Row 3: Red Brown Gray Gray Gray Brown Gray Gray Row 4: Gray Brown Brown Gray Green Yellow Gray Gray Row 5: Gray Gray Purple Gray Gray Gray Gray Brown Row 6: Gray Black Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Green Gray Brown Gray Gray Yellow Row 8: Gray Green Gray Gray Gray Gray Black Brown Row 9: Pink Orange Gray Purple Gray Gray Gray Gray Row 10: Pink Orange Gray Orange Gray Gray Yellow Gray Row 11: Gray Pink Purple Brown Gray Gray Blue Gray Row 12: Gray Gray Green Gray Green Gray Purple Gray Row 13: Gray Green Gray Gray Pink Gray Gray Green Row 14: Yellow Black Gray Gray Gray Gray Pink Blue Row 15: Gray Black Yellow Orange Gray Gray Blue Gray Row 16: Black Gray Black Yellow Gray Gray Gray Gray Row 17: Gray Gray Gray Pink Gray Yellow Gray Yellow Row 18: Gray Gray Gray Gray Gray Pink Gray Gray Row 19: Red Gray Pink Gray Green Gray Orange Gray Output: Row 1: Black Gray Gray Gray Gray Gray Brown Yellow Yellow Brown Gray Gray Gray Gray Gray Black Row 2: Brown Black Green Purple Black Gray Gray Brown Brown Gray Gray Black Purple Green Black Brown Row 3: Red Brown Gray Gray Gray Brown Gray Gray Gray Gray Brown Gray Gray Gray Brown Red Row 4: Gray Brown Brown Gray Green Yellow Gray Gray Gray Gray Yellow Green Gray Brown Brown Gray Row 5: Gray Gray Purple Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Purple Gray Gray Row 6: Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Row 7: Gray Gray Green Gray Brown Gray Gray Yellow Yellow Gray Gray Brown Gray Green Gray Gray Row 8: Gray Green Gray Gray Gray Gray Black Brown Brown Black Gray Gray Gray Gray Green Gray Row 9: Pink Orange Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Orange Pink Row 10: Pink Orange Gray Orange Gray Gray Yellow Gray Gray Yellow Gray Gray Orange Gray Orange Pink Row 11: Gray Pink Purple Brown Gray Gray Blue Gray Gray Blue Gray Gray Brown Purple Pink Gray Row 12: Gray Gray Green Gray Green Gray Purple Gray Gray Purple Gray Green Gray Green Gray Gray Row 13: Gray Green Gray Gray Pink Gray Gray Green Green Gray Gray Pink Gray Gray Green Gray Row 14: Yellow Black Gray Gray Gray Gray Pink Blue Blue Pink Gray Gray Gray Gray Black Yellow Row 15: Gray Black Yellow Orange Gray Gray Blue Gray Gray Blue Gray Gray Orange Yellow Black Gray Row 16: Black Gray Black Yellow Gray Gray Gray Gray Gray Gray Gray Gray Yellow Black Gray Black Row 17: Gray Gray Gray Pink Gray Yellow Gray Yellow Yellow Gray Yellow Gray Pink Gray Gray Gray Row 18: Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Row 19: Red Gray Pink Gray Green Gray Orange Gray Gray Orange Gray Green Gray Pink Gray Red Here is the input grid for the test example: Input: Row 1: Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Gray Purple Black Row 3: Yellow Gray Yellow Yellow Yellow Green Orange Yellow Row 4: Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Row 6: Yellow Orange Yellow Yellow Pink Yellow Orange Gray Row 7: Yellow Orange Blue Gray Orange Yellow Yellow Yellow Row 8: Black Yellow Black Blue Black Green Yellow Gray Row 9: Yellow Yellow Yellow Yellow Yellow Black Orange Yellow Row 10: Yellow Yellow Yellow Orange Yellow Yellow Orange Orange Row 11: Green Yellow Yellow Gray Yellow Gray Yellow Yellow Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Purple Black Black Purple Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Green Orange Yellow Yellow Orange Green Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Blue Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Pink Yellow Orange Gray Gray Orange Yellow Pink Yellow Yellow Orange Yellow Yellow Orange Blue Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Gray Blue Orange Yellow Black Yellow Black Blue Black Green Yellow Gray Gray Yellow Green Black Blue Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Orange Yellow Yellow Orange Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Orange Orange Orange Orange Yellow Yellow Orange Yellow Yellow Yellow Green Yellow Yellow Gray Yellow Gray Yellow Yellow Yellow Yellow Gray Yellow Gray Yellow Yellow Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Pink Row 2: Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Row 3: Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Blue Blue Pink Blue Pink Blue Blue Blue Row 4: Blue Pink Pink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Pink Row 5: Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Pink Blue Blue Blue Row 6: Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Row 7: Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Pink Blue Pink Blue Blue Blue Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 14: Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 15: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 17: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 18: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 19: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 20: Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Row 21: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Row 22: Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Output: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Row 5: Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Blue Black Blue Blue Blue Row 6: Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Blue Black Blue Blue Black Row 7: Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Blue Black Blue Blue Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Row 13: Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Row 14: Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Row 15: Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 17: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 18: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 19: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 20: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 21: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 22: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Example 2 Input: Row 1: Brown Brown Brown Brown Orange Orange Orange Orange Green Brown Brown Brown Brown Green Green Row 2: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Green Brown Brown Green Brown Row 3: Brown Brown Brown Brown Orange Orange Orange Orange Green Green Brown Brown Brown Green Green Row 4: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 5: Green Green Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Green Brown Row 6: Brown Brown Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Green Green Row 7: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 10: Green Brown Green Green Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Row 4: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Row 6: Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Row 7: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Example 3 Input: Row 1: Blue Blue Black Black Black Blue Blue Blue Row 2: Blue Blue Black Black Black Brown Blue Brown Row 3: Blue Blue Black Black Black Blue Blue Blue Row 4: Blue Blue Black Black Black Brown Blue Blue Row 5: Blue Blue Black Black Black Blue Blue Blue Row 6: Blue Blue Black Black Black Blue Blue Brown Row 7: Brown Blue Black Black Black Blue Blue Blue Row 8: Blue Blue Black Black Black Brown Blue Brown Row 9: Brown Blue Black Black Black Brown Brown Blue Row 10: Blue Brown Black Black Black Blue Blue Blue Row 11: Blue Blue Black Black Black Blue Blue Blue Row 12: Blue Blue Black Black Black Blue Blue Blue Row 13: Blue Brown Black Black Black Blue Blue Brown Row 14: Blue Blue Black Black Black Blue Blue Blue Row 15: Brown Blue Black Black Black Blue Brown Blue Row 16: Blue Blue Black Black Black Blue Blue Blue Row 17: Brown Blue Black Black Black Blue Blue Blue Row 18: Blue Blue Black Black Black Blue Blue Blue Row 19: Blue Blue Black Black Black Blue Blue Blue Row 20: Blue Brown Black Black Black Blue Blue Blue Row 21: Blue Blue Black Black Black Blue Blue Blue Row 22: Blue Blue Black Black Black Blue Blue Blue Row 23: Blue Blue Black Black Black Blue Blue Blue Row 24: Brown Blue Black Black Black Blue Blue Blue Row 25: Blue Blue Black Black Black Blue Brown Brown Output: Row 1: Blue Blue Black Black Black Blue Blue Blue Row 2: Blue Blue Black Black Black Black Black Blue Row 3: Blue Blue Black Black Black Blue Blue Blue Row 4: Blue Blue Black Black Black Black Blue Blue Row 5: Blue Blue Black Black Black Blue Blue Blue Row 6: Blue Blue Black Black Black Black Blue Blue Row 7: Blue Black Black Black Black Blue Blue Blue Row 8: Blue Blue Black Black Black Black Black Blue Row 9: Blue Black Black Black Black Black Black Blue Row 10: Blue Black Black Black Black Blue Blue Blue Row 11: Blue Blue Black Black Black Blue Blue Blue Row 12: Blue Blue Black Black Black Blue Blue Blue Row 13: Blue Black Black Black Black Black Blue Blue Row 14: Blue Blue Black Black Black Blue Blue Blue Row 15: Blue Black Black Black Black Black Blue Blue Row 16: Blue Blue Black Black Black Blue Blue Blue Row 17: Blue Black Black Black Black Blue Blue Blue Row 18: Blue Blue Black Black Black Blue Blue Blue Row 19: Blue Blue Black Black Black Blue Blue Blue Row 20: Blue Black Black Black Black Blue Blue Blue Row 21: Blue Blue Black Black Black Blue Blue Blue Row 22: Blue Blue Black Black Black Blue Blue Blue Row 23: Blue Blue Black Black Black Blue Blue Blue Row 24: Blue Black Black Black Black Blue Blue Blue Row 25: Blue Blue Black Black Black Black Black Blue Here is the input grid for the test example: Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Red Red Gray Gray Red Gray Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Red Gray Gray Red Red Gray Gray Red Row 7: Red Red Gray Red Red Red Red Red Red Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Gray Gray Red Gray Red Gray Red Red Row 10: Red Red Red Gray Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Red Red Gray Gray Red Gray Row 11: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Red Gray Gray Red Red Red Red Gray Red Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Red Red Red Gray Gray Red Gray Gray Row 16: Gray Gray Gray Gray Gray Gray Gray Red Red Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 17: Red Red Gray Gray Gray Red Red Red Red Red Black Black Black Black Black Black Red Gray Red Red Red Red Red Red Red Gray Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 4: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 5: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 6: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 9: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 10: Red Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 11: Red Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 12: Red Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 13: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 15: Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Row 16: Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Row 17: Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Row 18: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 19: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 20: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 21: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 22: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 23: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 24: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 25: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 26: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 27: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 28: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Output: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Red Red Red Blue Red Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 4: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 5: Red Red Red Red Red Red Blue Red Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 6: Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 9: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 10: Red Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 11: Red Red Red Gray Red Gray Red Gray Red Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 12: Red Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 13: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 15: Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Row 16: Red Red Red Red Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green Red Row 17: Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Row 18: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 19: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 20: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 21: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 22: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 23: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 24: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 25: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 26: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 27: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 28: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Example 2 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 3: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 4: Green Green Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 5: Green Green Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 6: Green Green Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 7: Green Green Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 8: Green Green Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 9: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 10: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 11: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Gray Gray Gray Yellow Row 12: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Gray Gray Gray Yellow Row 13: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Gray Gray Gray Yellow Row 14: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 15: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 16: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 17: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 18: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 19: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 3: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 4: Green Yellow Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 5: Green Green Green Yellow Yellow Yellow Yellow Red Yellow Red Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 6: Green Yellow Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 7: Green Green Green Yellow Yellow Yellow Yellow Red Yellow Red Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 8: Green Yellow Green Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 9: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 10: Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 11: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Gray Gray Gray Yellow Row 12: Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Gray Yellow Gray Yellow Row 13: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Gray Gray Gray Yellow Row 14: Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 15: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 16: Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 17: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Black Yellow Black Yellow Yellow Yellow Yellow Row 18: Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Yellow Yellow Row 19: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Row 2: Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Row 3: Pink Pink Blue Blue Blue Pink Pink Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Row 4: Pink Pink Blue Blue Blue Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 5: Pink Pink Blue Blue Blue Pink Pink Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 6: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 7: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 8: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 9: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Blue Blue Blue Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Blue Blue Blue Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Blue Blue Blue Pink Pink Green Green Green Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Row 2: Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Red Pink Red Pink Red Pink Red Pink Red Pink Pink Pink Pink Row 3: Pink Pink Blue Pink Blue Pink Pink Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Row 4: Pink Pink Blue Blue Blue Pink Pink Yellow Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 5: Pink Pink Blue Pink Blue Pink Pink Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Pink Orange Pink Orange Pink Pink Row 6: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Pink Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 7: Pink Pink Blue Pink Blue Pink Pink Green Pink Green Gray Gray Gray Pink Pink Pink Pink Pink Orange Pink Orange Pink Pink Row 8: Pink Pink Blue Blue Blue Pink Pink Green Green Green Gray Pink Gray Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Row 9: Pink Pink Blue Pink Blue Pink Pink Green Pink Green Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Blue Blue Blue Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Blue Pink Blue Pink Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Blue Blue Blue Pink Pink Green Green Green Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Green Pink Green Pink Brown Pink Brown Pink Brown Pink Brown Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 5: Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Pink Pink Row 6: Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Pink Pink Row 7: Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 10: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 11: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 12: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 13: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 14: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 15: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 16: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 17: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 18: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 19: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 20: Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Row 21: Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 23: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Purple Pink Purple Pink Pink Pink Pink Pink Blue Pink Blue Pink Blue Pink Blue Purple Purple Purple Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Purple Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Purple Gray Gray Green Gray Gray Gray Row 4: Purple Purple Purple Purple Purple Gray Gray Green Gray Gray Gray Row 5: Purple Gray Gray Gray Purple Gray Gray Green Green Gray Gray Row 6: Purple Gray Gray Gray Gray Black Gray Gray Gray Black Gray Row 7: Purple Gray Gray Gray Gray Black Black Black Black Black Gray Row 8: Purple Gray Black Black Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Black Gray Gray Black Black Black Black Black Black Row 11: Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Row 13: Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Black Row 14: Gray Purple Gray Gray Purple Gray Gray Black Black Black Gray Row 15: Gray Purple Purple Purple Purple Gray Gray Black Gray Gray Gray Row 16: Gray Purple Gray Gray Gray Gray Gray Black Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Black Black Black Black Black Black Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 19: Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Row 20: Gray Purple Gray Gray Gray Gray Gray Gray Green Green Green Row 21: Gray Purple Gray Gray Gray Gray Gray Gray Gray Green Gray Row 22: Gray Purple Gray Gray Gray Gray Gray Gray Gray Green Gray Row 23: Gray Purple Gray Gray Gray Gray Gray Green Green Green Gray Output: Row 1: Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Red Gray Gray Blue Gray Gray Gray Row 4: Red Red Red Red Red Gray Gray Blue Gray Gray Gray Row 5: Red Gray Gray Gray Red Gray Gray Blue Blue Gray Gray Row 6: Red Gray Gray Gray Gray Pink Gray Gray Gray Pink Gray Row 7: Red Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Row 8: Red Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Pink Gray Gray Blue Blue Blue Blue Blue Blue Row 11: Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Blue Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Row 13: Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Blue Row 14: Gray Red Gray Gray Red Gray Gray Red Red Red Gray Row 15: Gray Red Red Red Red Gray Gray Red Gray Gray Gray Row 16: Gray Red Gray Gray Gray Gray Gray Red Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Red Red Red Red Red Red Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 19: Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Row 20: Gray Blue Gray Gray Gray Gray Gray Gray Red Red Red Row 21: Gray Blue Gray Gray Gray Gray Gray Gray Gray Red Gray Row 22: Gray Blue Gray Gray Gray Gray Gray Gray Gray Red Gray Row 23: Gray Blue Gray Gray Gray Gray Gray Red Red Red Gray Example 2 Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Green Purple Purple Green Purple Purple Purple Row 2: Purple Purple Black Black Black Black Black Black Purple Green Green Purple Purple Purple Brown Purple Purple Purple Green Green Green Green Purple Purple Purple Row 3: Purple Purple Black Purple Purple Purple Purple Black Purple Green Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Black Purple Purple Purple Purple Black Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Row 5: Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Row 6: Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Brown Purple Purple Green Green Green Green Green Green Purple Purple Purple Green Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Green Purple Purple Purple Green Row 8: Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Green Purple Purple Purple Purple Row 9: Brown Brown Purple Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Green Purple Purple Purple Green Purple Purple Purple Purple Row 10: Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Green Purple Purple Purple Green Purple Purple Purple Purple Row 11: Brown Purple Purple Green Green Green Green Green Purple Brown Brown Purple Green Green Purple Purple Green Purple Purple Purple Green Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Black Black Purple Purple Row 13: Purple Green Green Green Green Green Purple Purple Purple Purple Brown Purple Brown Brown Brown Purple Green Green Green Purple Purple Black Purple Green Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Brown Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Green Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Brown Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Row 16: Purple Purple Purple Purple Purple Purple Green Green Purple Brown Brown Purple Brown Purple Purple Purple Purple Green Green Purple Purple Purple Purple Green Purple Row 17: Purple Green Green Green Green Purple Green Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Green Purple Row 18: Purple Green Purple Purple Green Purple Green Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Green Purple Purple Purple Purple Purple Green Purple Row 19: Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Purple Purple Output: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Pink Purple Purple Pink Purple Purple Purple Row 2: Purple Purple Pink Pink Pink Pink Pink Pink Purple Pink Pink Purple Purple Purple Blue Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Row 3: Purple Purple Pink Purple Purple Purple Purple Pink Purple Pink Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Pink Purple Purple Purple Purple Pink Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Row 5: Purple Purple Pink Purple Purple Purple Purple Pink Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Row 6: Purple Purple Pink Purple Purple Purple Purple Pink Purple Purple Purple Purple Red Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Purple Purple Purple Purple Purple Blue Purple Purple Purple Blue Row 8: Purple Purple Purple Pink Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Blue Purple Purple Purple Purple Row 9: Blue Blue Purple Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Pink Purple Purple Purple Blue Purple Purple Purple Purple Row 10: Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Pink Purple Purple Purple Blue Purple Purple Purple Purple Row 11: Blue Purple Purple Red Red Red Red Red Purple Pink Pink Purple Pink Pink Purple Purple Pink Purple Purple Purple Blue Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Blue Blue Purple Purple Row 13: Purple Red Red Red Red Red Purple Purple Purple Purple Pink Purple Pink Pink Pink Purple Pink Pink Pink Purple Purple Blue Purple Red Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Pink Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Pink Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple Row 16: Purple Purple Purple Purple Purple Purple Red Red Purple Pink Pink Purple Pink Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Red Purple Row 17: Purple Pink Pink Pink Pink Purple Red Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Red Purple Row 18: Purple Pink Purple Purple Pink Purple Red Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Pink Purple Purple Purple Purple Purple Red Purple Row 19: Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Example 3 Input: Row 1: Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Green Green Green Purple Purple Purple Brown Brown Brown Brown Brown Purple Row 2: Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Green Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Row 3: Black Purple Purple Yellow Yellow Purple Purple Purple Purple Black Purple Purple Green Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Row 4: Black Purple Purple Purple Yellow Purple Black Black Purple Purple Purple Purple Green Purple Purple Purple Purple Brown Purple Yellow Yellow Yellow Yellow Purple Row 5: Black Black Purple Purple Yellow Purple Purple Black Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Row 6: Purple Purple Brown Purple Purple Purple Purple Black Purple Brown Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple Yellow Purple Row 7: Purple Purple Brown Purple Black Black Black Black Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Row 8: Purple Purple Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Black Black Black Black Black Black Purple Row 12: Purple Purple Brown Purple Purple Purple Black Black Black Black Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Row 13: Purple Purple Brown Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Purple Row 15: Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Purple Brown Purple Purple Purple Purple Black Purple Yellow Purple Purple Green Green Green Green Purple Purple Purple Green Green Green Row 17: Purple Purple Purple Purple Brown Purple Purple Black Black Black Purple Yellow Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Green Row 18: Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Green Purple Purple Purple Purple Purple Green Green Row 19: Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Green Purple Green Green Purple Purple Purple Purple Row 20: Purple Purple Purple Purple Yellow Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Green Purple Purple Green Purple Purple Purple Purple Row 21: Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Yellow Purple Green Green Purple Green Purple Green Green Purple Row 22: Purple Purple Purple Purple Yellow Purple Purple Purple Yellow Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Green Green Purple Green Purple Purple Row 23: Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Output: Row 1: Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Blue Blue Purple Row 2: Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Pink Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Row 3: Blue Purple Purple Blue Blue Purple Purple Purple Purple Blue Purple Purple Pink Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Row 4: Blue Purple Purple Purple Blue Purple Pink Pink Purple Purple Purple Purple Pink Purple Purple Purple Purple Blue Purple Red Red Red Red Purple Row 5: Blue Blue Purple Purple Blue Purple Purple Pink Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Row 6: Purple Purple Blue Purple Purple Purple Purple Pink Purple Blue Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Red Purple Row 7: Purple Purple Blue Purple Pink Pink Pink Pink Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Row 8: Purple Purple Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Row 12: Purple Purple Blue Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Row 13: Purple Purple Blue Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Blue Purple Row 15: Pink Pink Pink Pink Pink Purple Purple Purple Purple Pink Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Purple Pink Purple Purple Purple Purple Pink Purple Blue Purple Purple Red Red Red Red Purple Purple Purple Pink Pink Pink Row 17: Purple Purple Purple Purple Pink Purple Purple Pink Pink Pink Purple Blue Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Pink Row 18: Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Red Purple Purple Purple Purple Purple Pink Pink Row 19: Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Red Purple Pink Pink Purple Purple Purple Purple Row 20: Purple Purple Purple Purple Red Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Red Purple Purple Pink Purple Purple Purple Purple Row 21: Purple Purple Purple Purple Red Red Red Red Red Purple Purple Purple Purple Purple Blue Purple Red Red Purple Pink Purple Blue Blue Purple Row 22: Purple Purple Purple Purple Red Purple Purple Purple Red Purple Purple Blue Blue Blue Blue Purple Purple Purple Pink Pink Purple Blue Purple Purple Row 23: Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Here is the input grid for the test example: Input: Row 1: Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Row 2: Purple Green Green Green Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Purple Green Row 3: Purple Green Black Black Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 4: Green Green Green Black Green Green Green Black Black Black Black Black Black Green Green Purple Green Green Green Green Green Row 5: Brown Green Green Black Green Green Green Green Green Green Green Black Green Green Green Purple Green Green Green Green Green Row 6: Brown Green Green Black Green Green Black Black Black Black Black Black Green Green Green Purple Green Green Green Green Purple Row 7: Brown Green Green Black Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Purple Row 8: Brown Green Green Black Green Yellow Yellow Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Row 9: Brown Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 10: Brown Brown Brown Brown Brown Green Yellow Green Green Green Brown Brown Green Green Green Green Green Black Black Black Green Row 11: Green Green Green Green Green Green Yellow Green Green Green Brown Green Yellow Yellow Green Green Green Black Green Black Green Row 12: Green Green Green Green Green Yellow Yellow Green Green Green Brown Green Green Yellow Green Green Green Green Green Green Green Row 13: Green Green Green Purple Purple Green Green Green Green Green Brown Green Green Yellow Green Purple Purple Purple Purple Purple Purple Row 14: Brown Green Green Green Purple Green Green Green Green Green Brown Green Yellow Yellow Green Green Green Purple Green Green Green Row 15: Brown Brown Green Green Purple Green Green Green Green Green Brown Brown Green Green Green Green Green Purple Green Green Green Row 16: Green Green Green Green Purple Green Purple Purple Purple Green Green Green Green Green Green Green Green Purple Green Green Green Row 17: Green Green Green Purple Purple Green Purple Green Green Green Green Green Green Green Green Purple Purple Purple Green Green Green Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Green Blue Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Blue Green Blue Blue Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Green Green Red Red Red Red Red Red Green Green Pink Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Red Green Green Green Pink Green Green Green Green Green Blue Green Green Blue Green Green Red Red Red Red Red Red Green Green Green Pink Green Green Green Green Pink Blue Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Pink Blue Green Green Blue Green Pink Pink Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Green Pink Green Green Green Pink Pink Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green Green Pink Green Green Green Pink Green Pink Pink Green Green Green Pink Green Pink Green Green Green Green Green Green Pink Pink Green Green Green Pink Green Green Pink Green Green Green Green Green Green Green Green Green Green Pink Pink Green Green Green Green Green Pink Green Green Pink Green Red Red Red Red Red Red Blue Green Green Green Pink Green Green Green Green Green Pink Green Pink Pink Green Green Green Red Green Green Green Blue Blue Green Green Pink Green Green Green Green Green Pink Pink Green Green Green Green Green Red Green Green Green Green Green Green Green Pink Green Blue Blue Blue Green Green Green Green Green Green Green Green Red Green Green Green Green Green Green Pink Pink Green Blue Green Green Green Green Green Green Green Green Red Red Red Green Green Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Gray Red Gray Blue Green Red Red Pink Pink Red Red Brown Red Brown Blue Pink Blue Green Blue Gray Red Green Gray Pink Red Red Red Blue Row 2: Gray Brown Blue Brown Gray Green Blue Brown Green Red Gray Green Pink Blue Green Brown Green Pink Gray Green Brown Blue Red Red Brown Red Red Brown Green Row 3: Pink Red Gray Pink Pink Pink Red Brown Pink Gray Blue Green Blue Red Pink Blue Gray Pink Gray Brown Green Green Brown Red Pink Blue Pink Green Gray Row 4: Blue Red Green Blue Green Brown Pink Green Gray Gray Gray Blue Red Brown Green Red Blue Brown Gray Gray Green Red Red Gray Blue Green Blue Blue Green Row 5: Green Brown Pink Gray Blue Green Pink Brown Gray Green Gray Green Green Blue Red Red Green Pink Brown Green Brown Green Brown Red Pink Blue Blue Blue Pink Row 6: Blue Green Brown Brown Red Brown Gray Brown Red Red Brown Blue Green Pink Pink Green Gray Blue Blue Brown Gray Red Gray Brown Red Pink Blue Red Pink Row 7: Blue Blue Green Red Green Brown Blue Pink Red Red Red Red Green Red Pink Gray Brown Gray Red Red Gray Blue Pink Blue Gray Pink Pink Gray Blue Row 8: Red Brown Pink Pink Blue Green Blue Gray Brown Red Green Pink Brown Blue Green Pink Pink Gray Pink Blue Pink Brown Gray Blue Red Pink Red Pink Pink Row 9: Green Pink Gray Brown Pink Gray Gray Gray Gray Brown Gray Green Pink Gray Blue Green Brown Green Pink Green Blue Pink Gray Blue Pink Brown Pink Gray Gray Row 10: Pink Blue Gray Brown Blue Red Green Brown Blue Blue Brown Blue Pink Pink Pink Gray Green Brown Green Pink Red Red Brown Blue Gray Green Gray Gray Gray Row 11: Red Gray Red Pink Green Red Gray Blue Brown Gray Blue Brown Brown Green Blue Gray Gray Red Gray Green Red Red Green Gray Pink Gray Brown Gray Brown Row 12: Red Pink Brown Gray Blue Red Brown Gray Gray Red Blue Pink Brown Red Blue Pink Brown Pink Gray Pink Brown Green Blue Brown Green Gray Gray Gray Green Row 13: Red Red Green Green Red Blue Brown Gray Gray Pink Blue Blue Green Blue Pink Green Brown Red Green Gray Pink Pink Blue Red Green Pink Green Gray Blue Row 14: Brown Brown Brown Brown Gray Red Pink Gray Gray Gray Blue Blue Brown Brown Pink Green Brown Brown Brown Green Brown Blue Brown Brown Blue Pink Brown Pink Gray Row 15: Gray Pink Gray Blue Brown Brown Brown Brown Brown Pink Blue Gray Blue Gray Pink Red Gray Gray Pink Gray Pink Pink Blue Gray Brown Green Red Brown Brown Row 16: Gray Red Blue Brown Green Pink Red Gray Blue Brown Red Red Green Green Pink Blue Red Pink Green Red Green Gray Blue Gray Gray Brown Green Gray Brown Row 17: Pink Brown Brown Red Red Red Gray Red Blue Green Brown Green Brown Brown Red Red Brown Brown Blue Gray Blue Brown Brown Blue Brown Blue Red Blue Red Row 18: Green Pink Red Gray Blue Red Green Blue Gray Gray Brown Blue Green Pink Green Brown Blue Green Red Gray Pink Green Pink Green Brown Blue Gray Blue Blue Row 19: Blue Blue Red Green Blue Green Blue Green Red Pink Gray Green Pink Gray Blue Brown Red Brown Red Pink Red Green Brown Blue Gray Gray Blue Green Brown Row 20: Red Brown Brown Gray Gray Red Green Brown Pink Pink Red Red Brown Red Gray Blue Brown Red Red Green Pink Green Gray Gray Red Blue Brown Red Gray Row 21: Gray Blue Gray Pink Pink Brown Green Blue Green Gray Green Brown Blue Gray Green Pink Brown Blue Pink Green Blue Gray Green Green Green Pink Red Brown Gray Output: Row 1: Purple Blue Pink Blue Gray Yellow Pink Pink Red Red Pink Pink Purple Pink Purple Gray Red Gray Yellow Gray Blue Pink Yellow Blue Red Pink Pink Pink Gray Row 2: Blue Purple Gray Purple Blue Yellow Gray Purple Yellow Pink Blue Yellow Red Gray Yellow Purple Yellow Red Blue Yellow Purple Gray Pink Pink Purple Pink Pink Purple Yellow Row 3: Red Pink Blue Red Red Red Pink Purple Red Blue Gray Yellow Gray Pink Red Gray Blue Red Blue Purple Yellow Yellow Purple Pink Red Gray Red Yellow Blue Row 4: Gray Pink Yellow Gray Yellow Purple Red Yellow Blue Blue Blue Gray Pink Purple Yellow Pink Gray Purple Blue Blue Yellow Pink Pink Blue Gray Yellow Gray Gray Yellow Row 5: Yellow Purple Red Blue Gray Yellow Red Purple Blue Yellow Blue Yellow Yellow Gray Pink Pink Yellow Red Purple Yellow Purple Yellow Purple Pink Red Gray Gray Gray Red Row 6: Gray Yellow Purple Purple Pink Purple Blue Purple Pink Pink Purple Gray Yellow Red Red Yellow Blue Gray Gray Purple Blue Pink Blue Purple Pink Red Gray Pink Red Row 7: Gray Gray Yellow Pink Yellow Purple Gray Red Pink Pink Pink Pink Yellow Pink Red Blue Purple Blue Pink Pink Blue Gray Red Gray Blue Red Red Blue Gray Row 8: Pink Purple Red Red Gray Yellow Gray Blue Purple Pink Yellow Red Purple Gray Yellow Red Red Blue Red Gray Red Purple Blue Gray Pink Red Pink Red Red Row 9: Yellow Red Blue Purple Red Blue Blue Blue Blue Purple Blue Yellow Red Blue Gray Yellow Purple Yellow Red Yellow Gray Red Blue Gray Red Purple Red Blue Blue Row 10: Red Gray Blue Purple Gray Pink Yellow Purple Gray Gray Purple Gray Red Red Red Blue Yellow Purple Yellow Red Pink Pink Purple Gray Blue Yellow Blue Blue Blue Row 11: Pink Blue Pink Red Yellow Pink Blue Gray Purple Blue Gray Purple Purple Yellow Gray Blue Blue Pink Blue Yellow Pink Pink Yellow Blue Red Blue Purple Blue Purple Row 12: Pink Red Purple Blue Gray Pink Purple Blue Blue Pink Gray Red Purple Pink Gray Red Purple Red Blue Red Purple Yellow Gray Purple Yellow Blue Blue Blue Yellow Row 13: Pink Pink Yellow Yellow Pink Gray Purple Blue Blue Red Gray Gray Yellow Gray Red Yellow Purple Pink Yellow Blue Red Red Gray Pink Yellow Red Yellow Blue Gray Row 14: Purple Purple Purple Purple Blue Pink Red Blue Blue Blue Gray Gray Purple Purple Red Yellow Purple Purple Purple Yellow Purple Gray Purple Purple Gray Red Purple Red Blue Row 15: Blue Red Blue Gray Purple Purple Purple Purple Purple Red Gray Blue Gray Blue Red Pink Blue Blue Red Blue Red Red Gray Blue Purple Yellow Pink Purple Purple Row 16: Blue Pink Gray Purple Yellow Red Pink Blue Gray Purple Pink Pink Yellow Yellow Red Gray Pink Red Yellow Pink Yellow Blue Gray Blue Blue Purple Yellow Blue Purple Row 17: Red Purple Purple Pink Pink Pink Blue Pink Gray Yellow Purple Yellow Purple Purple Pink Pink Purple Purple Gray Blue Gray Purple Purple Gray Purple Gray Pink Gray Pink Row 18: Yellow Red Pink Blue Gray Pink Yellow Gray Blue Blue Purple Gray Yellow Red Yellow Purple Gray Yellow Pink Blue Red Yellow Red Yellow Purple Gray Blue Gray Gray Row 19: Gray Gray Pink Yellow Gray Yellow Gray Yellow Pink Red Blue Yellow Red Blue Gray Purple Pink Purple Pink Red Pink Yellow Purple Gray Blue Blue Gray Yellow Purple Row 20: Pink Purple Purple Blue Blue Pink Yellow Purple Red Red Pink Pink Purple Pink Blue Gray Purple Pink Pink Yellow Red Yellow Blue Blue Pink Gray Purple Pink Blue Row 21: Blue Gray Blue Red Red Purple Yellow Gray Yellow Blue Yellow Purple Gray Blue Yellow Red Purple Gray Red Yellow Gray Blue Yellow Yellow Yellow Red Pink Purple Blue Example 2 Input: Row 1: Green Green Purple Blue Blue Purple Blue Blue Blue Blue Green Purple Green Blue Green Green Row 2: Purple Blue Blue Purple Purple Purple Blue Green Purple Blue Blue Blue Purple Blue Green Purple Row 3: Purple Blue Green Purple Blue Blue Green Purple Purple Green Purple Blue Blue Purple Green Green Row 4: Blue Blue Purple Purple Purple Purple Green Green Purple Green Green Green Green Green Blue Green Row 5: Purple Purple Purple Green Green Blue Blue Green Green Green Green Purple Green Blue Green Purple Row 6: Purple Green Blue Blue Green Blue Purple Purple Purple Purple Blue Green Purple Green Purple Green Row 7: Green Blue Purple Green Green Blue Blue Green Green Blue Blue Blue Blue Purple Green Purple Row 8: Blue Purple Purple Blue Blue Blue Green Purple Blue Blue Blue Purple Blue Purple Purple Blue Row 9: Green Green Green Green Green Purple Purple Green Blue Blue Blue Purple Blue Green Purple Blue Row 10: Purple Purple Blue Green Blue Blue Purple Blue Blue Purple Blue Purple Purple Blue Blue Purple Row 11: Green Blue Green Blue Blue Green Purple Purple Green Green Blue Blue Purple Blue Green Purple Row 12: Purple Green Green Purple Purple Green Blue Green Blue Green Purple Purple Green Green Blue Purple Row 13: Green Green Purple Purple Green Blue Green Blue Blue Green Blue Purple Green Purple Green Blue Row 14: Blue Purple Blue Purple Purple Green Purple Green Purple Blue Green Green Blue Purple Blue Purple Row 15: Purple Green Blue Purple Purple Blue Purple Green Blue Blue Purple Blue Purple Green Green Blue Row 16: Purple Purple Green Blue Green Green Green Purple Purple Purple Blue Purple Purple Green Purple Blue Row 17: Blue Purple Purple Green Blue Blue Blue Blue Blue Green Purple Blue Blue Green Purple Purple Row 18: Blue Green Blue Blue Blue Green Blue Blue Purple Purple Blue Purple Purple Green Green Blue Row 19: Blue Blue Purple Purple Purple Blue Purple Blue Purple Green Blue Purple Green Blue Green Purple Row 20: Green Green Blue Green Purple Green Purple Green Blue Purple Green Green Blue Green Purple Purple Row 21: Purple Blue Green Purple Blue Purple Green Blue Green Purple Green Green Green Blue Green Blue Output: Row 1: Yellow Yellow Brown Gray Gray Brown Gray Gray Gray Gray Yellow Brown Yellow Gray Yellow Yellow Row 2: Brown Gray Gray Brown Brown Brown Gray Yellow Brown Gray Gray Gray Brown Gray Yellow Brown Row 3: Brown Gray Yellow Brown Gray Gray Yellow Brown Brown Yellow Brown Gray Gray Brown Yellow Yellow Row 4: Gray Gray Brown Brown Brown Brown Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Gray Yellow Row 5: Brown Brown Brown Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Brown Yellow Gray Yellow Brown Row 6: Brown Yellow Gray Gray Yellow Gray Brown Brown Brown Brown Gray Yellow Brown Yellow Brown Yellow Row 7: Yellow Gray Brown Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Brown Yellow Brown Row 8: Gray Brown Brown Gray Gray Gray Yellow Brown Gray Gray Gray Brown Gray Brown Brown Gray Row 9: Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Gray Gray Gray Brown Gray Yellow Brown Gray Row 10: Brown Brown Gray Yellow Gray Gray Brown Gray Gray Brown Gray Brown Brown Gray Gray Brown Row 11: Yellow Gray Yellow Gray Gray Yellow Brown Brown Yellow Yellow Gray Gray Brown Gray Yellow Brown Row 12: Brown Yellow Yellow Brown Brown Yellow Gray Yellow Gray Yellow Brown Brown Yellow Yellow Gray Brown Row 13: Yellow Yellow Brown Brown Yellow Gray Yellow Gray Gray Yellow Gray Brown Yellow Brown Yellow Gray Row 14: Gray Brown Gray Brown Brown Yellow Brown Yellow Brown Gray Yellow Yellow Gray Brown Gray Brown Row 15: Brown Yellow Gray Brown Brown Gray Brown Yellow Gray Gray Brown Gray Brown Yellow Yellow Gray Row 16: Brown Brown Yellow Gray Yellow Yellow Yellow Brown Brown Brown Gray Brown Brown Yellow Brown Gray Row 17: Gray Brown Brown Yellow Gray Gray Gray Gray Gray Yellow Brown Gray Gray Yellow Brown Brown Row 18: Gray Yellow Gray Gray Gray Yellow Gray Gray Brown Brown Gray Brown Brown Yellow Yellow Gray Row 19: Gray Gray Brown Brown Brown Gray Brown Gray Brown Yellow Gray Brown Yellow Gray Yellow Brown Row 20: Yellow Yellow Gray Yellow Brown Yellow Brown Yellow Gray Brown Yellow Yellow Gray Yellow Brown Brown Row 21: Brown Gray Yellow Brown Gray Brown Yellow Gray Yellow Brown Yellow Yellow Yellow Gray Yellow Gray Example 3 Input: Row 1: Brown Gray Gray Brown Brown Gray Gray Gray Row 2: Brown Brown Gray Brown Brown Gray Gray Brown Row 3: Brown Brown Gray Gray Gray Gray Gray Brown Row 4: Gray Gray Brown Brown Brown Gray Gray Brown Row 5: Brown Brown Gray Gray Brown Brown Gray Gray Row 6: Brown Brown Brown Brown Gray Brown Gray Brown Row 7: Gray Gray Gray Gray Gray Gray Brown Gray Row 8: Gray Gray Gray Gray Brown Gray Brown Gray Row 9: Brown Brown Gray Brown Gray Gray Brown Brown Row 10: Gray Brown Brown Brown Gray Brown Brown Gray Row 11: Gray Gray Brown Gray Brown Gray Gray Brown Row 12: Brown Brown Brown Gray Gray Brown Brown Gray Row 13: Gray Gray Brown Brown Gray Brown Brown Gray Row 14: Brown Gray Brown Brown Gray Brown Gray Brown Row 15: Gray Gray Brown Brown Gray Brown Gray Gray Row 16: Brown Gray Gray Brown Gray Brown Gray Brown Row 17: Gray Brown Brown Gray Gray Brown Gray Brown Row 18: Gray Gray Gray Gray Brown Brown Brown Brown Row 19: Brown Gray Gray Brown Gray Gray Brown Gray Row 20: Gray Gray Gray Brown Gray Gray Brown Gray Output: Row 1: Purple Blue Blue Purple Purple Blue Blue Blue Row 2: Purple Purple Blue Purple Purple Blue Blue Purple Row 3: Purple Purple Blue Blue Blue Blue Blue Purple Row 4: Blue Blue Purple Purple Purple Blue Blue Purple Row 5: Purple Purple Blue Blue Purple Purple Blue Blue Row 6: Purple Purple Purple Purple Blue Purple Blue Purple Row 7: Blue Blue Blue Blue Blue Blue Purple Blue Row 8: Blue Blue Blue Blue Purple Blue Purple Blue Row 9: Purple Purple Blue Purple Blue Blue Purple Purple Row 10: Blue Purple Purple Purple Blue Purple Purple Blue Row 11: Blue Blue Purple Blue Purple Blue Blue Purple Row 12: Purple Purple Purple Blue Blue Purple Purple Blue Row 13: Blue Blue Purple Purple Blue Purple Purple Blue Row 14: Purple Blue Purple Purple Blue Purple Blue Purple Row 15: Blue Blue Purple Purple Blue Purple Blue Blue Row 16: Purple Blue Blue Purple Blue Purple Blue Purple Row 17: Blue Purple Purple Blue Blue Purple Blue Purple Row 18: Blue Blue Blue Blue Purple Purple Purple Purple Row 19: Purple Blue Blue Purple Blue Blue Purple Blue Row 20: Blue Blue Blue Purple Blue Blue Purple Blue Here is the input grid for the test example: Input: Row 1: Yellow Yellow Green Yellow Green Green Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Green Yellow Green Green Green Yellow Yellow Green Yellow Yellow Yellow Green Green Green Row 3: Green Yellow Green Yellow Yellow Yellow Green Green Green Green Yellow Green Green Green Green Row 4: Green Yellow Yellow Green Yellow Green Yellow Green Yellow Green Green Green Yellow Yellow Yellow Row 5: Yellow Yellow Green Green Yellow Yellow Green Yellow Yellow Green Yellow Yellow Green Green Green Row 6: Green Yellow Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Green Row 7: Yellow Green Green Yellow Yellow Yellow Green Yellow Green Green Yellow Green Green Green Yellow Row 8: Green Yellow Green Yellow Green Green Green Yellow Green Yellow Yellow Yellow Green Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Row 10: Green Yellow Green Green Green Green Yellow Green Yellow Yellow Green Green Yellow Yellow Green Row 11: Yellow Green Yellow Green Green Yellow Yellow Green Green Green Yellow Yellow Green Green Green Row 12: Yellow Green Green Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Green Yellow Row 13: Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Green Yellow Green Yellow Yellow Row 14: Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Yellow Yellow Yellow Green Yellow Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Green Green Yellow Green Yellow Yellow Green Yellow Yellow Green Green Green Green Green Green Green Yellow Green Yellow Yellow Yellow Green Green Yellow Green Green Green Yellow Yellow Yellow Yellow Green Yellow Green Green Green Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Green Green Yellow Green Yellow Green Yellow Green Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Green Green Yellow Green Green Yellow Green Green Yellow Yellow Yellow Yellow Green Yellow Green Yellow Green Green Green Green Green Green Green Yellow Green Yellow Green Yellow Yellow Green Green Green Yellow Green Yellow Yellow Green Yellow Yellow Yellow Green Yellow Green Yellow Green Yellow Yellow Yellow Green Yellow Green Green Green Yellow Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Yellow Yellow Green Yellow Yellow Yellow Yellow Green Yellow Green Green Yellow Yellow Green Green Yellow Green Yellow Green Yellow Yellow Green Green Yellow Yellow Yellow Green Green Yellow Yellow Yellow Green Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Green Yellow Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Green Yellow Green Green Green Green Green Green Green Yellow Yellow Green Green Yellow Green Green Green Yellow Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Green Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Row 5: Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Pink Pink Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Row 11: 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 Row 12: Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Gray Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Pink Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Brown Pink Green Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Pink Green Brown Brown Green Brown Green Brown Brown Green Brown Green Brown Brown Gray Green Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Green Brown Green Brown Gray Green Brown Brown Brown Brown Green Gray Brown Brown Green Brown Green Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Green Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Brown Row 5: Gray Gray Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Gray Gray Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Brown Brown Brown Row 7: Green Green Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Green Brown Green Brown Brown Brown Brown Row 8: Green Green Brown Brown Green Green Brown Brown Brown Green Gray Brown Brown Brown Green Brown Green Brown Gray Green Brown Brown Brown Brown Brown Row 9: Brown Brown Green Green Pink Pink Brown Brown Green Brown Green Brown Brown Brown Gray Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Green Green Pink Pink Brown Brown Pink Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Pink Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Green Brown Brown Row 12: Brown Brown Gray Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Green Brown Brown Gray Green Brown Brown Brown Row 13: Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Gray Green Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Green Pink Brown Pink Green Brown Brown Brown Brown Green Brown Green Brown Brown Green Gray Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Green Brown Green Brown Brown Brown Brown Green Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Green Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Example 2 Input: Row 1: 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 Gray Gray Row 2: 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 Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: 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 Gray Gray Row 8: 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 Gray Gray Row 9: 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 Gray Gray Row 10: 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 Gray Gray Row 11: 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 Gray Gray Row 12: 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 Gray Gray Row 13: 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 Gray Gray Row 14: 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 Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Row 16: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Row 17: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Row 19: 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 Gray Gray Row 20: 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 Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Row 22: 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 Gray Gray Row 23: 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 Gray Gray Row 24: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 25: 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 Gray Gray Output: Row 1: 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 Gray Gray Row 2: 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 Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Gray Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Gray Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Gray Row 16: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Gray Row 17: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Gray Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Brown Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Gray Row 19: 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 Gray Gray Row 20: 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 Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Orange Gray Gray Gray Gray Gray Gray Row 22: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Row 23: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Row 24: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Brown Gray Gray Gray Gray Gray Gray Gray Gray Row 25: 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 Gray Gray Example 3 Input: Row 1: Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Row 2: Green Green Green Green Green Green Green Green Orange Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Blue Green Row 3: Green Green Green Blue Green Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Green Green Orange Row 4: Green Green Orange Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Orange Orange Green Green Green Row 5: Green Green Green Green Green Green Green Green Blue Green Green Blue Blue Green Green Green Green Green Blue Blue Green Green Green Green Blue Row 6: Green Green Green Green Green Orange Green Green Green Orange Green Green Green Orange Orange Green Green Green Blue Blue Green Green Green Orange Green Row 7: Green Green Orange Green Blue Green Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Row 8: Green Blue Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 9: Green Green Green Green Green Green Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Green Row 10: Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Green Green Row 11: Green Green Green Green Green Green Blue Blue Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Row 12: Green Blue Green Green Green Green Blue Blue Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Pink Green Row 13: Green Green Orange Green Orange Orange Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Pink Orange Green Row 14: Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Row 16: Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green Blue Green Row 17: Green Green Blue Green Green Green Orange Orange Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Orange Green Green Row 18: Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Row 20: Green Green Blue Green Green Green Green Green Blue Blue Green Green Blue Green Green Green Blue Green Green Green Blue Green Green Blue Green Row 21: Green Orange Green Green Green Green Green Green Green Green Green Green Green Orange Green Orange Green Green Green Green Green Orange Green Green Green Output: Row 1: Green Green Green Green Green Green Green Green Green Green Green Green Pink Blue Green Green Green Green Green Green Green Green Green Green Green Row 2: Green Green Green Green Green Green Green Pink Orange Green Green Green Orange Pink Green Green Green Green Green Green Green Green Green Blue Pink Row 3: Green Green Pink Blue Green Green Green Blue Pink Green Green Green Green Green Green Green Green Green Pink Pink Orange Orange Green Pink Orange Row 4: Green Green Orange Pink Green Green Green Green Green Green Green Blue Blue Pink Pink Green Green Green Pink Pink Orange Orange Green Green Green Row 5: Green Green Green Green Green Green Green Green Blue Pink Green Blue Blue Pink Pink Green Green Green Blue Blue Pink Pink Green Pink Blue Row 6: Green Green Green Green Pink Orange Green Green Pink Orange Green Pink Pink Orange Orange Green Green Green Blue Blue Pink Pink Green Orange Pink Row 7: Green Pink Orange Green Blue Pink Green Green Green Green Green Pink Pink Orange Orange Green Green Green Green Green Green Green Green Green Green Row 8: Green Blue Pink Green Green Green Green Orange Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 9: Green Green Green Green Green Green Green Pink Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Orange Green Row 10: Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Blue Pink Green Row 11: Green Green Green Green Pink Pink Blue Blue Green Green Green Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green Green Green Row 12: Green Blue Pink Green Pink Pink Blue Blue Green Green Green Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Blue Pink Green Row 13: Green Pink Orange Green Orange Orange Pink Pink Green Green Green Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Pink Orange Green Row 14: Green Green Green Green Orange Orange Pink Pink Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Green Green Green Green Green Green Row 16: Green Green Pink Orange Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Green Green Green Pink Blue Green Row 17: Green Green Blue Pink Green Green Orange Orange Pink Pink Green Pink Pink Pink Pink Orange Orange Orange Orange Green Green Green Orange Pink Green Row 18: Green Green Green Green Green Green Orange Orange Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Green Green Pink Pink Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Orange Row 20: Green Pink Blue Green Green Green Pink Pink Blue Blue Green Green Blue Pink Green Pink Blue Green Green Green Blue Pink Green Blue Pink Row 21: Green Orange Pink Green Green Green Green Green Green Green Green Green Pink Orange Green Orange Pink Green Green Green Pink Orange Green Green Green Here is the input grid for the test example: Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Row 2: Pink Pink Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Row 3: Pink Pink Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Pink Gray Row 4: Gray Gray Green Green Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Green Gray Gray Row 5: Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Pink Pink Gray Green Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Row 8: Gray Gray Gray Green Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Pink Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Green Gray Gray Black Pink Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Pink Gray Gray Pink Gray Pink Gray Gray Gray Green Black Gray Row 11: Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Green Gray Green Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Green Gray Gray Gray Green Gray Gray Gray Gray Pink Gray Green Gray Gray Gray Gray Pink Gray Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Gray Green Gray Gray Gray Pink Gray Gray Gray Gray Green Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Gray Gray Gray Gray Gray Gray Gray Gray Black Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Black Black Black Gray Gray Gray Gray Pink Pink Black Black Gray Gray Gray Gray Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Black Black Black Gray Gray Gray Gray Pink Pink Black Black Gray Green Black Gray Gray Gray Gray Gray Black Green Gray Gray Gray Gray Gray Gray Green Green Green Black Black Black Gray Black Pink Gray Black Black Green Green Gray Black Pink Gray Gray Gray Gray Gray Pink Black Gray Gray Gray Gray Gray Gray Black Black Black Pink Pink Pink Gray Green Black Gray Black Black Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Green Gray Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Black Gray Gray Gray Gray Gray Pink Black Gray Black Black Black Pink Pink Pink Gray Green Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Gray Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Gray Gray Gray Black Green Gray Gray Pink Black Gray Gray Gray Gray Gray Black Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Black Gray Gray Black Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Black Gray Green Black Gray Black Green Gray Gray Black Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Black Gray Green Black Gray Black Pink Gray Black Pink Gray Pink Black Gray Gray Green Black Gray Gray Gray Pink Black Gray Black Pink Gray Gray Gray Gray Black Pink Gray Black Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Green Gray Green Black Gray Black Pink 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 Gray Green Black Gray Black Green Gray Gray Black Green Gray Gray Gray Black Pink Gray Green Black Gray Gray Gray Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Black Gray Gray Pink Black Gray Gray Gray Green Black Gray Black Pink Gray Gray Gray Black Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Row 3: Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Row 4: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Row 5: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Row 6: Gray Black Gray Black Gray Black Black Black Black Black Gray Black Gray Gray Gray Black Gray Gray Row 7: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Row 9: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black Gray Gray Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Row 12: Gray Black Gray Black Gray Gray Gray Gray Black Black Black Black Gray Black Gray Gray Gray Gray Row 13: Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Output: Row 1: Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 2: Green Black Green Black Green Green Green Green Green Green Green Green Green Green Green Black Green Green Row 3: Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Green Green Row 4: Green Black Red Black Green Green Green Green Green Green Green Green Green Green Green Black Green Green Row 5: Green Black Red Black Green Green Green Green Green Green Green Green Green Green Green Black Green Green Row 6: Green Black Red Black Green Black Black Black Black Black Green Black Green Green Green Black Green Green Row 7: Green Black Red Black Green Green Green Green Green Green Green Black Green Green Green Black Green Green Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Green Row 9: Green Black Red Black Red Red Red Red Red Red Red Black Red Black Green Black Green Green Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Green Black Red Black Red Red Red Red Red Red Red Black Red Black Green Green Green Green Row 12: Green Black Red Black Red Red Red Red Black Black Black Black Red Black Green Green Green Green Row 13: Green Black Red Black Red Red Red Red Red Red Red Red Red Black Green Green Green Green Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Row 15: Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green Example 2 Input: Row 1: 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 Row 2: Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 5: Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 6: Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Row 7: Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Output: Row 1: 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 Row 2: Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Row 4: Green Green Green Green Green Yellow Red Red Red Red Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 5: Green Green Green Green Green Yellow Red Red Red Red Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 6: Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Row 7: Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Example 3 Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Row 2: Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Orange Gray Row 3: Gray Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Orange Gray Row 4: Gray Orange Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Orange Gray Row 5: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 6: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 7: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 10: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 11: Gray Orange Gray Gray Gray Orange Gray Orange Gray Gray Orange Gray Orange Gray Row 12: Gray Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Orange Gray Gray Gray Output: Row 1: Green Green Green Green Green Green Green Green Green Green Green Green Orange Green Row 2: Green Green Green Green Green Orange Green Green Green Green Green Green Orange Green Row 3: Green Orange Green Green Orange Orange Orange Orange Orange Green Green Green Orange Green Row 4: Green Orange Green Green Green Orange Green Green Green Green Green Green Orange Green Row 5: Green Orange Green Green Green Orange Green Orange Green Green Orange Green Orange Green Row 6: Green Orange Green Green Green Orange Green Orange Green Green Orange Green Orange Green Row 7: Green Orange Green Green Green Orange Green Orange Green Green Orange Green Orange Green Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Green Orange Green Green Green Orange Red Orange Red Red Orange Red Orange Green Row 10: Green Orange Green Green Green Orange Red Orange Red Red Orange Red Orange Green Row 11: Green Orange Green Green Green Orange Red Orange Red Red Orange Red Orange Green Row 12: Green Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Row 13: Green Green Green Green Green Green Green Orange Green Green Orange Green Green Green Here is the input grid for the test example: Input: Row 1: Pink Pink Brown Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Row 3: Pink Pink Brown Pink Brown Pink Brown Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Brown Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Green Green Brown Green Brown Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Red Brown Red Brown Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Brown Green Green Green Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Pink Blue Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Pink Gray Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Gray Gray Brown Brown Pink Pink Brown Brown Row 9: Brown Brown Brown Gray Gray Brown Brown Pink Pink Brown Brown Row 10: Brown Brown Brown Brown Brown Pink Blue Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Pink Gray Brown Brown Brown Brown Row 12: Brown Brown Brown Blue Blue Brown Brown Pink Pink Brown Brown Row 13: Brown Brown Brown Blue Blue Brown Brown Pink Pink Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Example 2 Input: Row 1: Black Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Pink Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Red Black Black Black Black Blue Blue Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Blue Black Black Black Black Brown Brown Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Yellow Orange Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Orange Red Black Black Black Black Black Black Black Black Black Brown Yellow Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Pink Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Black Black Black Black Black Black Black Black Black Black Red Brown Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Brown Blue Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange Orange Brown Brown Black Black Brown Row 2: Black Black Black Pink Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Red Black Black Black Black Blue Blue Black Row 3: Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Orange Blue Black Black Black Black Brown Brown Black Row 4: Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Black Black Pink Pink Blue Blue Black Black Blue Row 5: Black Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Black Black Pink Pink Blue Blue Black Black Blue Row 6: Black Orange Orange Black Black Yellow Yellow Black Black Black Red Red Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Pink Pink Black Black Black Black Black Red Red Black Black Orange Orange Black Black Black Black Black Pink Pink Black Black Yellow Yellow Row 8: Black Black Black Yellow Orange Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Pink Pink Black Black Yellow Yellow Row 9: Black Pink Pink Black Black Pink Pink Black Black Black Black Black Orange Red Black Black Black Black Black Black Black Black Black Brown Yellow Black Black Row 10: Black Pink Pink Black Black Pink Pink Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Yellow Pink Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Yellow Yellow Black Black Brown Brown Row 12: Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Yellow Yellow Blue Blue Brown Brown Row 13: Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Black Black Black Black Black Black Black Black Black Black Red Brown Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Brown Blue Row 16: Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black Black Black Black Black Black Brown Brown Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black Black Black Black Black Black Brown Brown Black Black Example 3 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Pink Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Blue Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Purple Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Gray Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Yellow Purple Brown Brown Brown Brown Brown Brown Brown Purple Green Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Green Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Purple Pink Brown Brown Brown Brown Brown Brown Brown Purple Blue Brown Row 20: Brown Brown Brown Purple Pink Brown Brown Brown Brown Brown Brown Brown Green Yellow Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Gray Blue Brown Brown Brown Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Purple Green Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Pink Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Gray Gray Brown Row 5: Blue Pink Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Gray Gray Brown Row 6: Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Pink Purple Brown Brown Brown Row 7: Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Pink Pink Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Pink Pink Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Purple Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Purple Brown Brown Yellow Yellow Brown Brown Brown Green Green Brown Brown Gray Gray Brown Row 13: Brown Gray Blue Brown Brown Brown Brown Brown Green Green Brown Brown Gray Gray Brown Row 14: Brown Yellow Purple Brown Brown Brown Brown Brown Brown Brown Purple Green Brown Brown Brown Row 15: Blue Brown Brown Gray Gray Brown Brown Brown Brown Brown Gray Green Brown Brown Brown Row 16: Blue Brown Brown Gray Gray Brown Brown Brown Green Green Brown Brown Purple Purple Brown Row 17: Brown Pink Pink Brown Brown Purple Purple Brown Green Green Yellow Yellow Purple Purple Green Row 18: Brown Pink Pink Brown Brown Purple Purple Brown Brown Brown Yellow Yellow Brown Brown Green Row 19: Brown Brown Brown Purple Pink Brown Brown Brown Brown Brown Brown Brown Purple Blue Brown Row 20: Brown Brown Brown Purple Pink Brown Brown Brown Brown Brown Brown Brown Green Yellow Brown Row 21: Brown Pink Pink Brown Brown Purple Purple Brown Brown Brown Blue Blue Brown Brown Purple Row 22: Brown Pink Pink Green Green Purple Purple Purple Purple Brown Blue Blue Brown Brown Purple Row 23: Brown Brown Brown Green Green Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Gray Blue Brown Brown Brown Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Purple Green Brown Brown Brown Brown Brown Brown Brown Brown Here is the input grid for the test example: Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Orange Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Orange Orange Brown Brown Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Orange Orange Brown Brown Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Brown
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 12: Black Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 13: Black Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Row 14: Black Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Row 15: Black Black Brown Brown Brown Brown Red Red Brown Brown Brown Brown Row 16: Black Black Brown Brown Brown Brown Red Red Brown Brown Brown Brown Row 17: Black Black Brown Brown Red Red Brown Brown Brown Brown Brown Brown Row 18: Black Black Brown Brown Red Red Brown Brown Brown Brown Brown Brown Row 19: Black Black Red Red Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Black Black Red Red Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 2 Input: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Output: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Yellow Yellow Purple Purple Red Red Purple Purple Purple Purple Purple Purple Row 6: Yellow Yellow Purple Purple Red Red Purple Purple Purple Purple Purple Purple Row 7: Yellow Yellow Purple Purple Purple Purple Red Red Purple Purple Purple Purple Row 8: Yellow Yellow Purple Purple Purple Purple Red Red Purple Purple Purple Purple Row 9: Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Purple Purple Row 10: Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Purple Purple Row 11: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Red Red Row 12: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Red Red Row 13: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 17: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 18: Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Example 3 Input: Row 1: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 23: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 24: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 25: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Row 7: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Row 8: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Row 9: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Row 10: Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Row 11: Black Black Black Black Black Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Row 12: Black Black Black Black Black Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Row 13: Black Black Black Black Black Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Row 14: Black Black Black Black Black Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Row 15: Black Black Black Black Black Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Row 16: Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Black Black Black Black Black Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Yellow Red Purple Purple Purple Purple Purple Purple Yellow Purple Red Purple Purple Purple Purple Purple Yellow Purple Purple Red Purple Purple Purple Purple Yellow Purple Purple Purple Red Purple Purple Purple Yellow Purple Purple Purple Purple Red Purple Purple Yellow Purple Purple Purple Purple Purple Red Purple Yellow Purple Purple Purple Purple Purple Purple Red Yellow Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Blue Yellow Gray Pink Red Yellow Red Yellow Yellow Yellow Green Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Gray Orange Yellow Yellow Blue Orange Yellow Blue Red Gray Pink Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Red Gray Yellow Orange Yellow Orange Gray Gray Yellow Yellow Red Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Orange Yellow Blue Yellow Red Gray Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Blue Blue Gray Blue Blue Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Gray Yellow Pink Pink Orange Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Pink Pink Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 16: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Row 17: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 27: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 28: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 29: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 30: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Gray Pink Red Yellow Red Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Gray Orange Yellow Yellow Blue Orange Yellow Blue Red Gray Pink Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Red Gray Yellow Orange Yellow Orange Gray Gray Yellow Yellow Red Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Orange Yellow Blue Yellow Red Gray Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Blue Blue Gray Blue Blue Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Gray Yellow Pink Pink Orange Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Pink Pink Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 16: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Row 17: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 27: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 28: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 29: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 30: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 2 Input: Row 1: Red Brown Brown Brown Red Brown Brown Brown Row 2: Green Pink Brown Brown Brown Brown Brown Brown Row 3: Pink Green Blue Brown Brown Brown Brown Brown Row 4: Gray Green Blue Brown Brown Brown Brown Brown Row 5: Gray Green Blue Brown Brown Brown Brown Brown Row 6: Brown Brown Pink Brown Brown Brown Brown Brown Row 7: Brown Gray Blue Brown Brown Brown Brown Brown Row 8: Blue Green Green Brown Brown Brown Brown Brown Row 9: Pink Brown Gray Brown Brown Brown Brown Brown Row 10: Brown Gray Brown Brown Brown Brown Brown Brown Row 11: Red Brown Brown Brown Red Brown Brown Brown Output: Row 1: Red Brown Brown Brown Red Brown Brown Brown Row 2: Brown Green Pink Brown Brown Brown Brown Brown Row 3: Brown Pink Green Blue Brown Brown Brown Brown Row 4: Brown Gray Green Blue Brown Brown Brown Brown Row 5: Brown Gray Green Blue Brown Brown Brown Brown Row 6: Brown Brown Brown Pink Brown Brown Brown Brown Row 7: Brown Brown Gray Blue Brown Brown Brown Brown Row 8: Brown Blue Green Green Brown Brown Brown Brown Row 9: Brown Pink Brown Gray Brown Brown Brown Brown Row 10: Brown Brown Gray Brown Brown Brown Brown Brown Row 11: Red Brown Brown Brown Red Brown Brown Brown Example 3 Input: Row 1: Pink Purple Purple Pink Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Orange Blue Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Row 6: Pink Purple Purple Pink Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Output: Row 1: Pink Purple Purple Pink Purple Purple Purple Purple Purple Purple Row 2: Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Orange Blue Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Pink Purple Purple Pink Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Here is the input grid for the test example: Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Orange Black Purple Yellow Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Orange Brown Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Yellow Purple Purple Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 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 Purple Yellow Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Orange Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Yellow Purple Purple
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Gray Black Black Black Black Red Red Red Red Red Black Red Black Black Black Black Row 2: Yellow Yellow Black Black Gray Gray Black Black Black Black Red Red Black Red Red Red Black Black Black Black Row 3: Black Yellow Black Black Black Gray Black Black Black Black Black Black Black Black Black Red Black Red Black Black Row 4: Yellow Black Yellow Yellow Black Black Gray Black Blue Black Black Blue Black Black Black Black Black Red Red Black Row 5: Black Yellow Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Black Row 6: Black Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black Black Blue Black Red Red Red Row 7: Yellow Black Black Black Black Black Black Black Blue Black Black Blue Black Black Blue Black Black Red Black Black Row 8: Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Row 9: Black Black Brown Black Black Black Yellow Black Yellow Black Black Black Green Black Black Green Black Black Black Purple Row 10: Yellow Black Black Black Black Yellow Black Yellow Yellow Black Black Black Green Green Green Green Black Black Purple Purple Row 11: Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Green Black Black Black Row 12: Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black Green Black Black Green Black Green Green Black Row 13: Black Yellow Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Row 14: Yellow Yellow Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Red Black Black Black Row 15: Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Output: Row 1: Blue Black Black Blue Row 2: Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Row 4: Blue Black Black Blue Example 2 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Blue Brown Row 2: Brown Brown Brown Brown Orange Orange Orange Brown Purple Brown Brown Purple Brown Brown Blue Blue Row 3: Brown Brown Orange Orange Brown Brown Orange Brown Brown Purple Purple Purple Brown Blue Brown Brown Row 4: Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Orange Brown Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Black Row 6: Brown Brown Orange Brown Yellow Yellow Brown Yellow Brown Brown Brown Brown Brown Brown Black Brown Row 7: Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Yellow Brown Yellow Brown Black Brown Brown Row 8: Brown Red Red Brown Brown Brown Brown Brown Brown Yellow Brown Yellow Brown Brown Brown Brown Row 9: Brown Brown Red Brown Brown Pink Pink Brown Brown Yellow Brown Yellow Yellow Brown Brown Brown Row 10: Brown Red Brown Brown Brown Pink Brown Brown Brown Brown Yellow Brown Yellow Brown Brown Brown Row 11: Brown Brown Red Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Red Brown Red Brown Brown Brown Pink Brown Brown Brown Blue Blue Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Blue Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Blue Brown Blue Brown Brown Row 15: Brown Red Brown Brown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Red Red Brown Brown Brown Brown Brown Brown Pink Brown Brown Green Green Brown Brown Row 17: Brown Red Red Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Green Brown Row 18: Brown Red Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Green Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Row 20: Brown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Row 21: Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Yellow Row 22: Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Yellow Row 23: Brown Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Yellow Brown Row 24: Brown Brown Brown Brown Yellow Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Row 26: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Brown Row 27: Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Yellow Yellow Brown Brown Blue Brown Row 28: Brown Green Green Green Brown Green Brown Brown Brown Yellow Brown Brown Yellow Brown Brown Brown Row 29: Brown Brown Green Brown Green Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Row 30: Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Yellow Yellow Brown Row 2: Yellow Brown Brown Yellow Row 3: Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Row 4: Red Red Purple Red Purple Red Red Red Red Red Red Red Gray Gray Gray Gray Row 5: Red Red Red Purple Red Red Red Pink Pink Pink Pink Red Gray Gray Gray Red Row 6: Red Red Purple Red Red Red Red Pink Pink Red Red Red Red Red Gray Gray Row 7: Red Red Red Red Red Red Pink Pink Pink Pink Red Red Red Red Red Red Row 8: Red Red Red Red Red Red Pink Red Pink Pink Pink Red Red Red Red Red Row 9: Red Orange Red Orange Orange Red Red Red Pink Pink Pink Red Red Red Red Red Row 10: Red Orange Red Red Orange Orange Orange Red Red Red Red Red Red Red Red Red Row 11: Red Orange Red Orange Red Red Orange Red Red Red Red Green Red Red Green Red Row 12: Red Red Orange Red Red Red Orange Red Red Red Red Green Red Red Green Red Row 13: Red Red Red Orange Red Red Red Red Red Red Red Green Green Green Green Red Row 14: Red Red Orange Red Red Red Red Red Red Purple Red Red Red Red Red Red Row 15: Red Red Red Red Red Red Red Red Purple Red Purple Red Red Red Red Red Row 16: Red Red Red Red Red Red Red Purple Red Red Red Red Red Red Red Red Row 17: Red Red Red Red Brown Red Red Purple Red Red Red Red Red Red Red Red Row 18: Red Red Red Brown Red Brown Red Red Red Green Red Green Red Red Red Red Row 19: Red Red Red Red Red Brown Brown Brown Red Red Green Green Red Red Red Red Row 20: Gray Red Red Red Red Red Red Brown Brown Red Red Green Red Red Red Red Row 21: Gray Red Red Red Gray Red Red Red Red Red Green Red Red Red Red Red Row 22: Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Row 23: Red Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Output: Row 1: Green Red Red Green Row 2: Green Red Red Green Row 3: Green Green Green Green Here is the input grid for the test example: Input: Row 1: 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 Row 2: Green Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 3: Green Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 4: Green Green Green Green Green Green Green Green Purple Green Green Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Row 5: Green Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Black Green Green Green Orange Orange Green Orange Row 6: Green Green Green Green Green Green Green Green Green Purple Purple Green Green Green Blue Blue Green Green Green Green Green Green Black Green Green Orange Green Green Orange Row 7: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Blue Green Green Black Green Green Green Orange Orange Green Orange Row 8: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Black Green Green Green Green Green Orange Orange Orange Row 9: Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Green Green Green Blue Blue Green Green Green Black Black Black Green Orange Green Green Green Row 10: Green Green Green Blue Blue Blue Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Black Green Green Orange Green Green Green Row 11: Green Green Green Green Blue Green Blue Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 12: Green Green Blue Blue Green Blue Green Blue Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 13: Green Blue Green Green Green Green Blue Green Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 14: Green Blue Green Green Green Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 15: 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 Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Green Purple Purple Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Red Red Red Red Red Red Black Black Row 2: Red Red Red Red Red Red Black Black Row 3: Red Red Red Red Red Red Black Black Row 4: Black Red Red Red Red Red Black Black Row 5: Black Black Red Red Red Red Black Black Row 6: Black Black Red Red Red Red Black Black Row 7: Black Black Red Red Red Red Black Black Row 8: Black Black Black Red Red Black Black Black Row 9: Black Black Black Red Red Black Black Black Row 10: Black Black Black Red Red Black Black Black Row 11: Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Row 13: Pink Orange Gray Orange Yellow Purple Black Black Output: Row 1: Pink Orange Gray Orange Yellow Purple Black Black Row 2: Pink Orange Gray Orange Yellow Purple Black Black Row 3: Pink Orange Gray Orange Yellow Purple Black Black Row 4: Black Orange Gray Orange Yellow Purple Black Black Row 5: Black Black Gray Orange Yellow Purple Black Black Row 6: Black Black Gray Orange Yellow Purple Black Black Row 7: Black Black Gray Orange Yellow Purple Black Black Row 8: Black Black Black Orange Yellow Black Black Black Row 9: Black Black Black Orange Yellow Black Black Black Row 10: Black Black Black Orange Yellow Black Black Black Row 11: Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Row 13: Pink Orange Gray Orange Yellow Purple Black Black Example 2 Input: Row 1: Blue Black Black Black Gray Gray Gray Gray Gray Gray Black Row 2: Orange Black Black Black Gray Gray Gray Gray Gray Gray Black Row 3: Orange Black Black Black Gray Gray Gray Gray Gray Gray Black Row 4: Red Black Black Black Gray Gray Gray Gray Gray Gray Black Row 5: Red Black Black Black Gray Gray Gray Gray Gray Gray Black Row 6: Brown Black Black Black Gray Gray Gray Gray Gray Gray Black Row 7: Red Black Black Black Gray Gray Gray Gray Gray Gray Black Row 8: Green Black Black Black Gray Gray Gray Gray Gray Gray Black Row 9: Brown Black Black Black Gray Gray Gray Gray Gray Gray Black Row 10: Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Row 11: Blue Black Black Black Gray Gray Gray Gray Gray Gray Black Row 12: Pink Black Black Black Gray Gray Gray Gray Gray Gray Black Row 13: Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Row 14: Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Row 15: Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Row 16: Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Row 17: Blue Black Black Black Gray Gray Gray Gray Gray Gray Black Row 18: Brown Black Black Black Gray Gray Gray Gray Gray Gray Black Row 19: Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Row 20: Red Black Black Black Gray Gray Gray Gray Gray Gray Black Row 21: Orange Black Black Black Gray Gray Gray Gray Gray Gray Black Row 22: Pink Black Black Black Gray Gray Gray Gray Gray Gray Black Row 23: Blue Black Black Black Gray Gray Gray Gray Gray Gray Black Row 24: Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Row 25: Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Row 26: Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Row 2: Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Row 3: Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Row 4: Red Black Black Black Red Red Red Red Red Red Black Row 5: Red Black Black Black Red Red Red Red Red Red Black Row 6: Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Row 7: Red Black Black Black Red Red Red Red Red Red Black Row 8: Green Black Black Black Green Green Green Green Green Green Black Row 9: Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Row 10: Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Row 11: Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Row 12: Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Row 13: Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Row 14: Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Row 15: Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Row 16: Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Row 17: Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Row 18: Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Row 19: Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Row 20: Red Black Black Black Red Red Red Red Red Red Black Row 21: Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Row 22: Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Row 23: Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Row 24: Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Row 25: Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Row 26: Black Black Black Black Black Black Black Black Black Black Black Example 3 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Purple Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Green Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Brown Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Pink Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Pink Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Pink Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Orange Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Orange Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Blue Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Green Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Green Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Blue Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Orange Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 18: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Purple Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Green Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Brown Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Pink Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Pink Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Pink Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Orange Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Orange Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Blue Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Green Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Green Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Blue Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Orange Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 18: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Pink Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Yellow Black Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Row 10: Yellow Black Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Row 11: Yellow Black Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Row 12: Pink Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Black Black Brown Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Black Black Brown Brown Purple Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Row 11: 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 Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Red Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Row 17: Brown Brown Brown Yellow Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Row 18: Brown Brown Brown Yellow Yellow Yellow Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Purple Purple Brown Brown Row 2: Brown Purple Purple Purple Row 3: Brown Brown Purple Purple Row 4: Brown Purple Purple Brown Row 5: Brown Purple Purple Brown Example 2 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Orange Orange Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Row 3: Orange Orange Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Purple Yellow Yellow Red Red Red Red Yellow Yellow Yellow Row 4: Orange Orange Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Brown Brown Yellow Yellow Purple Purple Yellow Yellow Red Red Red Red Yellow Yellow Yellow Row 5: Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Orange Orange Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Row 7: Orange Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black Yellow Blue Yellow Yellow Green Green Yellow Yellow Blue Yellow Blue Blue Row 10: Red Red Yellow Yellow Brown Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Blue Blue Yellow Green Green Yellow Yellow Yellow Blue Blue Yellow Row 11: Red Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Blue Yellow Blue Yellow Yellow Yellow Brown Brown Yellow Yellow Row 15: Yellow Gray Gray Gray Gray Gray Gray Yellow Red Red Red Red Red Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Row 16: Yellow Yellow Gray Gray Gray Gray Gray Yellow Red Red Red Red Red Yellow Yellow Blue Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Row 17: Yellow Gray Gray Gray Gray Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Gray Gray Yellow Gray Gray Gray Yellow Red Red Red Red Red Yellow Yellow Yellow Blue Yellow Yellow Black Yellow Yellow Blue Blue Yellow Yellow Purple Purple Yellow Yellow Row 19: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Blue Blue Yellow Black Black Yellow Yellow Blue Yellow Yellow Purple Purple Purple Yellow Row 20: Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Row 21: Yellow Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Output: Row 1: Green Yellow Row 2: Green Green Row 3: Green Yellow Row 4: Green Yellow Example 3 Input: Row 1: Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Pink Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Row 5: Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Orange Yellow Row 6: Yellow Pink Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Black Black Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Black Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Purple Purple Purple Yellow Row 16: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Purple Purple Brown Yellow Row 17: Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Row 18: Yellow Red Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Gray Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Gray Gray Gray Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Output: Row 1: Purple Purple Purple Row 2: Purple Purple Purple Row 3: Yellow Yellow Purple Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Green Green Pink Pink Black Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Black Black Black Black Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Yellow Pink Pink Pink Pink Pink Black Pink Black Black Black Pink Pink Pink Gray Pink Pink Pink Black Pink Pink Pink Row 4: Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Black Black Pink Pink Pink Pink Row 5: Pink Pink Pink Yellow Pink Yellow Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Row 6: Purple Pink Pink Yellow Pink Yellow Pink Pink Brown Brown Pink Red Red Red Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Row 7: Purple Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink Red Red Red Red Pink Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Row 8: Pink Purple Pink Pink Pink Pink Pink Pink Brown Pink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Brown Pink Brown Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Purple Purple Pink Pink Pink Brown Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Green Green Row 12: Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Brown Pink Pink Pink Green Green Green Row 13: Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Brown Pink Brown Pink Pink Pink Pink Green Row 14: Pink Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Yellow Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Red Red Red Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Yellow Pink Yellow Pink Pink Purple Pink Purple Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Row 19: Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink Purple Purple Pink Pink Pink Brown Pink Pink Pink Pink Red Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Brown Pink Pink Pink Red Red Pink Pink Pink Row 21: Pink Pink Pink Yellow Pink Pink Yellow Yellow Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Yellow Yellow Pink Yellow Yellow Yellow Pink Orange Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Row 23: Pink Pink Pink Yellow Pink Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Blue Row 24: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Row 25: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Black Black Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Brown Brown Black Brown Black Brown Black Row 2: Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Black Black Brown Black Black Black Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Black Black Brown Black Brown Black Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Brown Black Black Black Black Black Brown Black Black Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Brown Black Brown Brown Black Brown Black Black Black Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Brown Black Black Black Black Black Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Brown Black Brown Black Black Black Brown Brown Black Row 8: Brown Brown Brown Brown Brown Brown Orange Brown Brown Brown Orange Blue Black Brown Brown Brown Black Black Black Black Brown Black Black Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Black Black Black Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Brown Black Brown Black Black Brown Black Black Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Blue Black Black Black Black Black Black Brown Brown Brown Brown Black Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Blue Black Brown Black Black Black Black Brown Black Brown Black Black Row 13: Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Blue Black Black Black Black Black Black Brown Brown Black Black Black Row 14: Brown Brown Brown Brown Brown Brown Brown Orange Brown Brown Brown Blue Black Black Black Black Black Black Black Black Brown Black Black Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Black Black Black Black Black Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Brown Black Black Black Black Black Row 17: Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Brown Black Black Black Black Black Brown Black Row 18: Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Black Black Black Black Black Black Brown Brown Black Black Black Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Black Black Black Black Black Brown Black Brown Brown Black Output: Row 1: Brown Brown Brown Brown Green Green Brown Green Brown Green Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Green Brown Green Brown Row 4: Brown Brown Green Brown Brown Brown Brown Brown Green Brown Brown Row 5: Brown Green Brown Green Green Brown Green Brown Brown Brown Green Row 6: Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Row 7: Brown Brown Green Brown Green Brown Brown Brown Green Green Brown Row 8: Brown Green Green Green Brown Brown Brown Brown Green Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Row 10: Brown Brown Brown Green Brown Green Brown Brown Green Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Row 12: Brown Green Brown Brown Brown Brown Green Brown Green Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Row 16: Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Green Brown Brown Brown Brown Brown Green Brown Row 18: Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Row 19: Green Brown Brown Brown Brown Brown Green Brown Green Green Brown Example 2 Input: Row 1: Brown Brown Brown Brown Brown Brown Black Blue Orange Orange Blue Blue Orange Row 2: Brown Brown Brown Brown Brown Brown Black Blue Blue Orange Orange Blue Blue Row 3: Brown Brown Brown Orange Brown Brown Black Orange Orange Orange Orange Orange Blue Row 4: Brown Brown Brown Brown Brown Brown Black Orange Blue Blue Orange Blue Blue Row 5: Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Orange Blue Blue Row 6: Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Orange Blue Orange Row 7: Brown Brown Brown Brown Brown Brown Black Blue Orange Orange Blue Orange Blue Row 8: Brown Brown Brown Brown Brown Brown Black Orange Orange Blue Blue Blue Blue Row 9: Brown Brown Brown Brown Brown Brown Black Orange Orange Blue Orange Blue Blue Row 10: Brown Brown Brown Brown Brown Brown Black Orange Blue Blue Blue Blue Blue Row 11: Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Orange Blue Row 12: Brown Brown Brown Brown Brown Brown Black Blue Blue Orange Orange Orange Orange Row 13: Brown Brown Brown Brown Brown Brown Black Blue Orange Orange Blue Blue Blue Row 14: Brown Orange Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Blue Row 15: Brown Orange Brown Brown Brown Brown Black Blue Blue Blue Orange Blue Orange Row 16: Brown Brown Brown Orange Brown Orange Black Orange Blue Orange Blue Orange Blue Row 17: Brown Brown Brown Brown Brown Brown Black Blue Orange Blue Blue Blue Blue Row 18: Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Blue Row 19: Brown Brown Brown Brown Brown Brown Black Orange Blue Blue Orange Orange Blue Row 20: Brown Brown Brown Brown Brown Brown Black Blue Orange Orange Blue Blue Blue Row 21: Brown Brown Brown Brown Brown Brown Black Orange Blue Blue Orange Orange Blue Row 22: Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Orange Orange Output: Row 1: Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Row 3: Orange Orange Orange Green Orange Orange Row 4: Orange Orange Orange Orange Orange Orange Row 5: Orange Orange Orange Orange Orange Orange Row 6: Orange Orange Orange Orange Orange Orange Row 7: Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Orange Row 10: Orange Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Orange Row 12: Orange Orange Orange Orange Orange Orange Row 13: Orange Orange Orange Orange Orange Orange Row 14: Orange Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Row 16: Orange Orange Orange Orange Orange Orange Row 17: Orange Orange Orange Orange Orange Orange Row 18: Orange Orange Orange Orange Orange Orange Row 19: Orange Orange Orange Orange Orange Orange Row 20: Orange Orange Orange Orange Orange Orange Row 21: Orange Orange Orange Orange Orange Orange Row 22: Orange Orange Orange Orange Orange Orange Example 3 Input: Row 1: Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Pink Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Row 8: Black Black Black Black Black Black Row 9: Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Yellow Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Output: Row 1: Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Green Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Here is the input grid for the test example: Input: Row 1: Orange Brown Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange Brown Brown Row 2: Brown Orange Brown Brown Orange Brown Brown Orange Orange Brown Brown Brown Orange Orange Brown Orange Brown Brown Brown Row 3: Orange Brown Brown Brown Orange Orange Brown Orange Brown Brown Orange Orange Brown Brown Brown Orange Orange Orange Brown Row 4: Brown Orange Orange Orange Orange Brown Orange Brown Orange Orange Brown Brown Orange Orange Brown Orange Orange Brown Brown Row 5: Brown Brown Brown Orange Orange Orange Orange Orange Brown Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Row 6: Orange Orange Brown Brown Orange Brown Brown Brown Brown Brown Brown Orange Orange Brown Orange Brown Brown Brown Orange Row 7: Brown Brown Orange Brown Orange Brown Orange Orange Orange Orange Orange Orange Brown Orange Brown Orange Brown Orange Brown Row 8: Orange Orange Brown Brown Orange Brown Brown Orange Brown Brown Brown Orange Orange Brown Orange Orange Brown Orange Orange Row 9: Orange Orange Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Orange Brown Brown Orange Brown Brown Orange Row 10: Brown Brown Orange Orange Brown Orange Brown Orange Brown Orange Brown Orange Orange Brown Brown Brown Orange Orange Orange Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Orange Purple Purple Orange Purple Orange Purple Orange Orange Purple Orange Orange Purple Purple Orange Orange Orange Orange Purple Row 13: Purple Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Orange Purple Orange Purple Purple Orange Orange Row 14: Purple Orange Purple Purple Purple Purple Purple Orange Orange Purple Purple Orange Orange Orange Purple Purple Orange Purple Purple Row 15: Orange Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Orange Orange Purple Orange Purple Purple Orange Orange Row 16: Orange Orange Orange Purple Orange Orange Purple Purple Orange Orange Orange Purple Purple Orange Purple Orange Purple Purple Orange Row 17: Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Purple Orange Purple Purple Purple Purple Orange Row 18: Orange Orange Purple Purple Orange Orange Purple Purple Purple Orange Purple Purple Purple Purple Orange Orange Orange Purple Purple Row 19: Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Purple Purple Purple Purple Orange Purple Orange Orange Orange Row 20: Orange Orange Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Orange Orange Orange Orange Orange Orange Purple Row 21: Orange Orange Purple Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Purple Orange Purple Orange Orange Orange Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Green Orange Orange Orange Orange Orange Orange Green Green Orange Green Green Orange Orange Orange Green Green Orange Orange Orange Green Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Green Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Green Green Orange Orange Green Orange Green Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Green Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Orange Orange Orange Orange Green Orange Orange Green Green Green Green Orange Orange Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Orange Orange Orange Orange Green Orange Green Orange Green Orange Green Orange Orange Green Orange Orange Orange Green Green Green
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Row 5: Green Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Green Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Green Green Green Row 7: Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Row 8: Green Green Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Purple Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Row 5: Red Red Red Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Purple Purple Red Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Purple Purple Purple Red Row 7: Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Red Row 8: Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 2 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Row 12: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 14: Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 15: Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 17: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Row 18: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Row 19: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Output: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Red Purple Purple Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Red Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Row 12: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 14: Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 15: Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 17: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Row 18: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Row 19: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Example 3 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Brown Row 4: Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Brown Row 5: Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Black Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Black Black Black Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Row 12: Brown Brown Brown Brown Brown Black Black Brown Brown Brown Black Brown Black Black Black Black Black Brown Brown Brown Brown Black Black Row 13: Brown Brown Brown Brown Brown Black Black Brown Black Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Row 15: Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Black Black Row 16: Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Row 17: Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Black Black Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Purple Purple Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Brown Row 4: Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Brown Row 5: Red Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Red Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Purple Purple Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Red Red Red Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple Row 12: Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Red Brown Red Red Red Purple Purple Brown Brown Brown Brown Purple Purple Row 13: Brown Brown Brown Brown Brown Purple Purple Brown Red Red Red Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Row 15: Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Purple Purple Row 16: Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Row 17: Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Red Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Brown Red Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Purple Purple Brown Brown Brown Brown Purple Purple Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Here is the input grid for the test example: Input: Row 1: Green Green Green Black Black Black Black Black Black Black Row 2: Black Green Green Black Black Green Green Black Black Black Row 3: Black Green Green Black Black Green Green Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Green Green Green Black Row 6: Green Green Black Black Green Black Green Green Green Black Row 7: Green Green Black Black Green Black Green Black Black Black Row 8: Black Black Black Black Green Black Black Black Black Black Row 9: Black Black Black Black Green Green Black Black Black Black Row 10: Black Green Green Green Green Green Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Green Black Black Black Black Row 13: Black Black Black Black Black Green Black Green Black Black Row 14: Black Black Black Black Black Green Black Green Black Black Row 15: Black Black Black Black Black Black Black Green Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Green Black Black Black Black Green Row 18: Black Black Black Black Green Black Green Black Black Green Row 19: Black Black Black Black Green Black Green Black Black Green Row 20: Black Green Black Black Black Black Green Black Black Black Row 21: Black Green Black Black Black Black Green Green Black Black Row 22: Black Green Black Black Black Black Green Green Black Black Row 23: Black Black Black Black Black Black Black Black Black Black Row 24: Black Black Black Black Black Black Green Black Green Black Row 25: Black Black Black Black Black Black Green Black Green Black Row 26: Black Black Black Black Black Black Green Black Green Black Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Red Red Red Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Purple Purple Black Purple Purple Black Black Red Black Red Purple Purple Black Purple Purple Black Black Red Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Red Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Red Black Black Red Black Black Black Black Red Black Red Black Black Red Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Purple Purple Black Black Black Red Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Red Black Red Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Yellow Yellow Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Yellow Yellow Red Red Red Row 4: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Row 5: Yellow Yellow Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Row 6: Yellow Yellow Yellow Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Row 9: Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Row 10: Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Row 11: Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Yellow Yellow Yellow Red Yellow Yellow Red Red Red Red Row 12: Red Red Red Red Yellow Yellow Red Red Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Row 13: Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Row 15: Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Row 16: Red Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Row 17: Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Gray Red Red Row 18: Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Row 19: Red Red Red Red Red Red Red Red Red Yellow Yellow Red Yellow Yellow Yellow Red Red Yellow Yellow Red Red Red Red Row 20: Red Red Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Red Red Red Row 21: Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 22: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Output: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Black Gray Red Red Red Black Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Orange Orange Gray Red Red Orange Orange Gray Red Red Red Red Red Red Red Black Gray Red Red Red Row 4: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Gray Red Red Row 5: Black Gray Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Red Red Red Red Red Red Red Row 6: Orange Orange Gray Red Red Red Red Red Red Red Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Black Gray Red Red Red Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Red Red Row 9: Red Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Red Red Orange Orange Gray Red Red Red Red Row 10: Red Red Red Red Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Red Red Red Red Red Row 11: Red Red Red Red Red Red Red Red Black Gray Red Red Red Orange Orange Gray Red Black Gray Red Red Red Red Row 12: Red Red Red Red Black Gray Red Red Orange Orange Gray Red Red Red Red Red Red Orange Orange Gray Red Red Red Row 13: Red Red Red Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Red Red Red Red Row 15: Red Red Red Red Red Red Black Gray Red Red Red Red Red Red Orange Orange Gray Red Red Red Red Red Red Row 16: Red Black Gray Red Red Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Row 17: Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Gray Red Red Row 18: Red Red Red Red Red Red Red Red Red Red Red Red Black Gray Red Red Red Red Red Red Red Red Red Row 19: Red Red Red Red Red Red Red Red Red Black Gray Red Orange Orange Gray Red Red Black Gray Red Red Red Red Row 20: Red Red Black Gray Red Red Red Red Red Orange Orange Gray Red Red Red Red Red Orange Orange Gray Red Red Red Row 21: Red Red Orange Orange Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 22: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Example 2 Input: Row 1: 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 Row 2: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Row 3: Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Gray Gray Gray Green Green Row 4: Green Green Green Green Green Green Green Green Green Gray Gray Gray Green Green Green Gray Gray Green Green Green Green Gray Green Green Green Row 5: Green Green Green Green Green Green Green Green Green Green Gray Green Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Row 7: Green Green Green Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 8: Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 9: Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 10: Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Row 11: Green Green Gray Green Green Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Gray Gray Gray Green Green Row 12: Green Green Green Green Green Gray Gray Green Green Gray Gray Green Green Green Gray Gray Gray Green Green Green Green Gray Green Green Green Row 13: Green Green Green Green Green Gray Gray Gray Green Gray Gray Gray Green Green Green Gray Green Green Green Green Green Green Green Green Green Row 14: Green Green Green Green Green Green Gray Green Green Green Gray Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Gray Gray Green Green Green Green Gray Gray Gray Green Pink Yellow Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Gray Gray Gray Green Green Green Green Gray Green Green Pink Yellow Pink Green Green Green Green Green Row 17: Green Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Row 18: Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Gray Gray Gray Green Green Green Gray Gray Green Green Green Green Green Gray Gray Green Green Green Green Green Green Row 20: Green Green Green Green Green Gray Green Green Green Green Gray Gray Gray Green Green Green Green Gray Gray Gray Green Green Green Green Green Row 21: Green Green Green Green Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Gray Green Green Green Green Green Green Row 22: Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 23: Green Green Green Green Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Row 24: Green Green Green Green Gray Gray Green Green Gray Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Green Green Row 25: Green Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Gray Green Green Green Row 26: Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Row 27: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Green Row 28: 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 Row 29: 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 Output: Row 1: 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 Row 2: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Yellow Green Green Green Row 3: Green Green Green Green Green Green Green Green Green Pink Yellow Green Green Green Green Green Green Green Green Green Pink Yellow Pink Green Green Row 4: Green Green Green Green Green Green Green Green Green Pink Yellow Pink Green Green Green Pink Yellow Green Green Green Green Orange Green Green Green Row 5: Green Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Pink Yellow Pink Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Pink Yellow Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Row 7: Green Green Green Green Green Green Pink Yellow Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 8: Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 9: Green Pink Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 10: Green Pink Yellow Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Yellow Green Green Green Row 11: Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Pink Green Green Row 12: Green Green Green Green Green Pink Yellow Green Green Pink Yellow Green Green Green Pink Yellow Pink Green Green Green Green Orange Green Green Green Row 13: Green Green Green Green Green Pink Yellow Pink Green Pink Yellow Pink Green Green Green Orange Green Green Green Green Green Green Green Green Green Row 14: Green Green Green Green Green Green Orange Green Green Green Orange Green Green Pink Yellow Green Green Green Green Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Pink Green Pink Yellow Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Pink Yellow Pink Green Green Green Green Orange Green Green Pink Yellow Pink Green Green Green Green Green Row 17: Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Row 18: Green Green Green Green Pink Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Pink Yellow Pink Green Green Green Pink Yellow Green Green Green Green Green Pink Yellow Green Green Green Green Green Green Row 20: Green Green Green Green Green Orange Green Green Green Green Pink Yellow Pink Green Green Green Green Pink Yellow Pink Green Green Green Green Green Row 21: Green Green Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Orange Green Green Green Green Green Green Row 22: Green Green Green Green Green Green Green Pink Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 23: Green Green Green Green Green Green Green Pink Yellow Pink Green Green Green Green Green Green Green Green Green Green Pink Yellow Green Green Green Row 24: Green Green Green Green Pink Yellow Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Pink Yellow Pink Green Green Row 25: Green Green Green Green Pink Yellow Pink Green Green Green Green Green Green Green Pink Yellow Green Green Green Green Green Orange Green Green Green Row 26: Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Pink Yellow Pink Green Green Green Green Green Green Green Green Row 27: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Green Green Green Row 28: 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 Row 29: 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 Example 3 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Row 4: Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Row 9: Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Green Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Green Green Green Yellow Yellow Green Green Green Yellow Yellow Yellow Brown Yellow Yellow Row 15: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Row 16: Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Row 21: Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Row 22: Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Row 4: Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Row 9: Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Blue Black Blue Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Brown Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Blue Black Blue Yellow Yellow Blue Black Blue Yellow Yellow Yellow Brown Yellow Yellow Row 15: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Row 16: Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Row 21: Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Row 22: Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Here is the input grid for the test example: Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Gray Blue Blue Gray Blue Row 2: Blue Blue Blue Blue Gray Blue Blue Blue Gray Blue Blue Gray Blue Row 3: Blue Blue Gray Blue Gray Blue Blue Blue Gray Blue Blue Gray Blue Row 4: Gray Blue Gray Blue Gray Blue Brown Blue Blue Blue Blue Blue Blue Row 5: Gray Blue Gray Blue Blue Blue Orange Blue Blue Gray Blue Blue Blue Row 6: Gray Blue Blue Blue Blue Blue Green Blue Blue Gray Blue Gray Blue Row 7: Blue Blue Gray Blue Gray Blue Blue Blue Blue Gray Blue Gray Blue Row 8: Blue Blue Gray Blue Gray Blue Blue Blue Gray Blue Blue Gray Blue Row 9: Blue Blue Gray Blue Gray Blue Blue Blue Gray Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Blue Gray Blue Blue Gray Blue Row 11: Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Gray Blue Row 12: Gray Blue Gray Blue Gray Blue Blue Gray Blue Blue Blue Gray Blue Row 13: Gray Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Blue Row 14: Gray Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Row 15: Blue Gray Blue Blue Blue Gray Blue Blue Blue Gray Blue Blue Blue Row 16: Blue Gray Blue Gray Blue Gray Blue Gray Blue Blue Blue Blue Blue Row 17: Blue Gray Blue Gray Blue Gray Blue Gray Blue Blue Blue Blue Blue Row 18: Gray Blue Blue Gray Blue Blue Blue Gray Blue Blue Gray Blue Gray Row 19: Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Blue Gray Row 20: Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Blue Gray Row 21: Blue Blue Blue Blue Blue Blue Gray Blue Gray Blue Blue Blue Blue Row 22: Blue Blue Gray Blue Blue Blue Gray Blue Gray Blue Blue Blue Blue Row 23: Blue Blue Gray Blue Gray Blue Blue Blue Gray Blue Blue Blue Blue Row 24: Gray Blue Gray Blue Gray Blue Gray Blue Blue Gray Blue Blue Gray Row 25: Gray Blue Blue Blue Gray Blue Gray Blue Blue Gray Blue Blue Gray Row 26: Gray Blue Blue Blue Blue Blue Gray Blue Blue Gray Blue Blue Gray Row 27: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 28: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Blue Blue Blue Blue Blue Blue Blue Blue Brown Blue Blue Brown Blue Blue Blue Blue Blue Brown Blue Blue Blue Orange Blue Blue Orange Blue Blue Blue Brown Blue Orange Blue Blue Blue Green Blue Blue Green Blue Brown Blue Orange Blue Green Blue Brown Blue Blue Blue Blue Blue Blue Orange Blue Green Blue Blue Blue Orange Blue Blue Brown Blue Blue Blue Green Blue Blue Blue Blue Blue Green Blue Blue Orange Blue Brown Blue Blue Blue Brown Blue Brown Blue Blue Blue Blue Green Blue Orange Blue Blue Blue Orange Blue Orange Blue Blue Blue Brown Blue Blue Green Blue Blue Blue Green Blue Green Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Blue Brown Blue Blue Blue Orange Blue Brown Blue Orange Blue Brown Blue Blue Orange Blue Blue Blue Green Blue Orange Blue Green Blue Orange Blue Blue Green Blue Brown Blue Blue Blue Green Blue Blue Blue Green Blue Blue Blue Blue Orange Blue Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Green Blue Blue Blue Blue Orange Blue Brown Blue Orange Blue Brown Blue Blue Blue Blue Blue Blue Green Blue Orange Blue Green Blue Orange Blue Blue Blue Blue Blue Brown Blue Blue Green Blue Blue Blue Green Blue Blue Brown Blue Brown Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Orange Green Blue Blue Blue Blue Blue Brown Blue Blue Blue Green Blue Green Blue Blue Blue Blue Blue Blue Orange Blue Brown Blue Blue Blue Blue Blue Blue Brown Blue Blue Blue Green Blue Orange Blue Blue Blue Blue Blue Blue Orange Blue Brown Blue Blue Blue Green Blue Blue Blue Blue Brown Blue Green Blue Orange Blue Brown Blue Blue Brown Blue Blue Brown Orange Blue Blue Blue Green Blue Orange Blue Blue Orange Blue Blue Orange Green Blue Blue Blue Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 26: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Row 27: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Row 28: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 29: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Blue Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Row 26: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Row 27: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Row 28: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 29: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Example 2 Input: Row 1: 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 Gray Gray Row 2: 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 Gray Gray Row 3: 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 Gray Gray Row 4: 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 Gray Gray Row 5: Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Pink Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Pink Gray Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Pink Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Pink Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Pink Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 16: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Row 19: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 20: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 22: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Row 23: 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 Gray Gray Row 24: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 25: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Row 26: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Row 27: 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 Gray Gray Row 28: 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 Gray Gray Output: Row 1: 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 Gray Gray Row 2: 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 Gray Gray Row 3: 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 Gray Gray Row 4: 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 Gray Gray Row 5: Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Pink Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Pink Gray Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Pink Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Pink Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Pink Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 16: Gray Gray Gray Red Gray Gray Red Red Gray Gray Gray Gray Red Pink Gray Pink Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Gray Red Gray Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Row 19: Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 20: Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Row 22: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Pink Gray Pink Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Row 23: Gray Gray Red Red Gray Gray Red Gray Red Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 24: Gray Gray Gray Gray Red Gray Gray Gray Red Gray Gray Gray Red Gray Gray Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Row 25: Gray Gray Red Gray Gray Gray Red Red Gray Gray Gray Gray Red Pink Pink Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Row 26: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Row 27: 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 Gray Gray Row 28: 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 Gray Gray Example 3 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 7: Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Here is the input grid for the test example: Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Green Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Row 13: Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Green Green Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Red Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Green Red Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Green Red Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Row 13: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Row 15: Purple Purple Purple Purple Red Green Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Red Green Purple Purple Purple Row 20: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 21: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 22: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 23: Purple Purple Purple Purple Purple Purple Purple Green Red Purple Purple Purple Purple Row 24: Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Row 25: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Output: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Row 8: Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Row 9: Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Row 10: Green Green Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Row 11: Green Green Green Purple Purple Purple Purple Green Green Green Green Green Purple Row 12: Purple Green Green Green Purple Purple Green Green Green Green Green Green Green Row 13: Purple Purple Green Green Green Green Green Green Green Green Green Green Green Row 14: Purple Purple Purple Green Green Green Green Green Green Purple Purple Green Green Row 15: Purple Purple Purple Green Green Green Green Green Purple Purple Purple Green Green Row 16: Purple Purple Green Green Green Green Green Green Purple Purple Green Green Green Row 17: Purple Green Green Green Green Green Green Green Green Green Green Green Purple Row 18: Green Green Green Green Green Purple Purple Green Green Green Green Purple Green Row 19: Green Green Green Green Purple Purple Purple Green Green Green Purple Green Green Row 20: Green Green Green Purple Purple Purple Green Green Green Purple Green Green Green Row 21: Green Green Purple Purple Purple Green Green Green Purple Green Green Green Purple Row 22: Green Purple Purple Purple Green Green Green Purple Green Green Green Purple Purple Row 23: Purple Purple Purple Green Green Green Purple Green Green Green Purple Purple Purple Row 24: Purple Purple Green Green Green Purple Green Green Green Green Purple Purple Purple Row 25: Purple Green Green Green Purple Green Green Green Green Green Green Purple Purple Example 2 Input: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Row 5: Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 6: Orange Orange Orange Orange Orange Orange Red Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 7: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Red Orange Orange Orange Row 9: Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Row 10: Orange Orange Orange Orange Red Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Orange Row 12: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Row 13: Orange Orange Orange Orange Red Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 14: Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 16: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 17: Blue Red Orange Blue Red Orange Orange Red Blue Orange Orange Orange Orange Orange Orange Orange Orange Row 18: Red Blue Orange Blue Red Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Row 19: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 20: Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 21: Orange Orange Orange Orange Blue Red Orange Orange Orange Orange Orange Orange Red Blue Orange Orange Orange Row 22: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Red Orange Orange Orange Row 23: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 24: Blue Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 25: Red Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 26: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 27: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 28: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Output: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Row 3: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Row 4: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Row 5: Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Row 6: Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Row 7: Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Row 12: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Row 13: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Orange Orange Orange Row 14: Blue Blue Orange Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Orange Orange Orange Orange Row 15: Blue Orange Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Orange Orange Orange Orange Orange Row 16: Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Row 17: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Row 18: Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Row 19: Blue Orange Orange Orange Blue Blue Blue Blue Orange Blue Blue Blue Orange Orange Orange Orange Orange Row 20: Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Blue Blue Blue Orange Orange Orange Orange Row 21: Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Orange Orange Orange Row 22: Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Orange Orange Row 23: Orange Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Orange Row 24: Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Row 25: Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Blue Blue Row 26: Blue Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Blue Row 27: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Row 28: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Example 3 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Red Red Row 5: Brown Red Blue Blue Blue Brown Brown Row 6: Brown Brown Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Red Brown Blue Blue Row 11: Blue Blue Blue Brown Red Blue Blue Row 12: Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Row 14: Blue Blue Blue Blue Blue Blue Blue Row 15: Blue Red Red Blue Blue Blue Blue Row 16: Blue Brown Red Blue Blue Blue Blue Row 17: Blue Blue Blue Blue Blue Blue Blue Row 18: Brown Red Blue Blue Blue Blue Blue Row 19: Brown Red Blue Blue Blue Blue Blue Row 20: Blue Blue Blue Blue Blue Blue Blue Output: Row 1: Blue Brown Brown Brown Brown Brown Brown Row 2: Blue Blue Brown Brown Brown Brown Blue Row 3: Blue Blue Brown Brown Brown Brown Brown Row 4: Blue Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Blue Blue Brown Brown Row 6: Brown Brown Blue Blue Blue Blue Blue Row 7: Brown Brown Blue Blue Blue Blue Blue Row 8: Brown Brown Brown Blue Blue Blue Blue Row 9: Blue Brown Brown Brown Blue Blue Blue Row 10: Blue Blue Brown Brown Brown Blue Brown Row 11: Blue Blue Blue Brown Brown Brown Brown Row 12: Blue Blue Blue Blue Brown Brown Brown Row 13: Brown Blue Blue Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Blue Row 16: Blue Brown Brown Brown Brown Blue Blue Row 17: Blue Brown Brown Brown Brown Blue Blue Row 18: Brown Brown Brown Brown Brown Brown Blue Row 19: Brown Brown Brown Blue Brown Brown Brown Row 20: Blue Brown Brown Brown Blue Brown Brown Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Purple Red Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Purple Red Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Brown Brown Orange Brown Orange Brown Orange Brown Orange Brown Brown Row 2: Brown Orange Brown Orange Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Orange Brown Orange Brown Brown Brown Brown Row 5: Brown Orange Brown Orange Brown Orange Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Orange Brown Orange Brown Orange Brown Brown Brown Brown Brown Brown Row 10: Brown Orange Brown Orange Brown Orange Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Orange Brown Orange Brown Brown Brown Brown Brown Brown Row 17: Orange Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Brown Orange Brown Orange Brown Orange Brown Orange Brown Brown Brown Row 22: Orange Brown Orange Brown Orange Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Orange Brown Orange Brown Orange Brown Orange Brown Brown Output: Row 1: Brown Brown Orange Red Orange Red Orange Red Orange Brown Brown Row 2: Brown Orange Red Orange Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Orange Red Orange Brown Brown Brown Brown Row 5: Brown Orange Red Orange Red Orange Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Orange Red Orange Red Orange Brown Brown Brown Brown Brown Brown Row 10: Brown Orange Red Orange Red Orange Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Orange Red Orange Brown Brown Brown Brown Brown Brown Row 17: Orange Red Orange Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Brown Orange Red Orange Red Orange Red Orange Brown Brown Brown Row 22: Orange Red Orange Red Orange Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Orange Red Orange Red Orange Red Orange Brown Brown Example 2 Input: Row 1: Gray Brown Gray Brown Gray Row 2: Gray Brown Gray Brown Gray Row 3: Gray Brown Gray Brown Gray Row 4: Gray Brown Gray Brown Gray Row 5: Brown Gray Brown Gray Gray Row 6: Brown Gray Brown Gray Gray Row 7: Gray Gray Gray Gray Gray Row 8: Gray Brown Gray Brown Gray Row 9: Gray Gray Gray Gray Gray Row 10: Gray Brown Gray Brown Gray Row 11: Brown Gray Brown Gray Gray Row 12: Gray Gray Gray Gray Gray Output: Row 1: Gray Brown Red Brown Gray Row 2: Gray Brown Red Brown Gray Row 3: Gray Brown Red Brown Gray Row 4: Gray Brown Red Brown Gray Row 5: Brown Red Brown Gray Gray Row 6: Brown Red Brown Gray Gray Row 7: Gray Gray Gray Gray Gray Row 8: Gray Brown Red Brown Gray Row 9: Gray Gray Gray Gray Gray Row 10: Gray Brown Red Brown Gray Row 11: Brown Red Brown Gray Gray Row 12: Gray Gray Gray Gray Gray Example 3 Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Yellow Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Yellow Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Output: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Yellow Red Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Yellow Red Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Green Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Green Pink Green Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Green Pink Green Pink Green Pink Green Pink Green Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Pink Green Pink Green Pink Green Pink Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Red Green Red Green Red Green Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Orange Pink Gray Purple Gray Purple Purple Purple Gray Purple Purple Gray Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Gray Purple Gray Purple Pink Purple Gray Gray Gray Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Gray Purple Purple Gray Pink Gray Gray Purple Gray Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Purple Purple Gray Purple Purple Purple Purple Pink Gray Purple Purple Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Purple Purple Gray Purple Gray Gray Gray Purple Purple Gray Pink Gray Purple Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Gray Purple Gray Purple Gray Purple Purple Purple Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Gray Gray Pink Purple Purple Purple Pink Pink Purple Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Gray Gray Purple Purple Gray Purple Pink Purple Pink Purple Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Gray Purple Purple Purple Purple Gray Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Purple Pink Purple Gray Gray Purple Purple Purple Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Gray Purple Gray Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Gray Purple Gray Gray Pink Gray Gray Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 23: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 24: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Gray Purple Gray Purple Purple Purple Gray Purple Purple Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Gray Purple Gray Purple Pink Purple Gray Gray Gray Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Gray Purple Purple Gray Pink Gray Gray Purple Gray Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Purple Purple Gray Purple Purple Purple Purple Pink Gray Purple Purple Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Purple Purple Gray Purple Gray Gray Gray Purple Purple Gray Pink Gray Purple Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Gray Purple Gray Purple Gray Purple Purple Purple Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Gray Gray Pink Purple Purple Purple Pink Pink Purple Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Gray Gray Purple Purple Gray Purple Pink Purple Pink Purple Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Gray Purple Purple Purple Purple Gray Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Purple Pink Purple Gray Gray Purple Purple Purple Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Gray Purple Gray Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Gray Purple Gray Gray Pink Gray Gray Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 23: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 24: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Example 2 Input: Row 1: 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 Green Row 2: Green Pink Green Green Green Green Green Green Green Green Green Gray Gray Black Purple Brown Gray Green Black Purple Green Green Green Green Green Green Green Pink Green Green Row 3: Green Green Green Green Green Green Green Green Green Green Green Purple Purple Green Green Black Brown Black Green Green Green Green Green Green Green Green Green Green Green Green Row 4: Green Green Green Green Green Green Green Green Green Green Green Yellow Brown Brown Yellow Green Gray Purple Green Green Green Green Green Green Green Green Green Green Green Green Row 5: Green Green Green Green Green Green Green Green Green Green Green Green Black Yellow Purple Black Brown Purple Purple Purple Green Green Purple Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Purple Green Green Purple Brown Gray Brown Purple Yellow Brown Black Brown Purple Black Green Purple Green Green Green Green Green Green Green Green Row 7: Green Green Green Green Green Black Green Yellow Purple Purple Yellow Black Brown Black Black Green Purple Green Green Green Green Yellow Green Green Green Green Green Green Green Green Row 8: Green Green Green Gray Black Purple Green Brown Black Yellow Purple Gray Green Gray Purple Black Gray Yellow Gray Gray Purple Black Green Green Green Green Green Green Green Green Row 9: Green Green Green Green Black Gray Brown Gray Green Brown Purple Brown Black Brown Gray Green Black Gray Brown Yellow Purple Green Green Brown Green Green Green Green Green Green Row 10: Green Green Green Green Yellow Brown Purple Yellow Yellow Green Black Yellow Yellow Brown Black Purple Yellow Brown Gray Gray Gray Green Black Green Yellow Purple Green Green Green Green Row 11: Green Green Green Green Black Green Purple Purple Gray Brown Brown Black Brown Brown Brown Purple Yellow Green Black Gray Green Yellow Brown Yellow Brown Green Brown Gray Green Green Row 12: Green Green Green Brown Green Black Green Purple Black Gray Gray Purple Black Purple Black Green Yellow Black Gray Brown Brown Black Black Purple Yellow Yellow Gray Green Green Green Row 13: Green Green Green Green Green Green Black Black Yellow Brown Brown Yellow Black Brown Purple Yellow Black Green Yellow Green Gray Brown Black Gray Purple Green Green Green Green Green Row 14: Green Green Green Green Green Green Green Green Gray Yellow Gray Yellow Black Purple Yellow Yellow Black Gray Brown Black Gray Black Gray Green Purple Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Purple Yellow Brown Black Brown Brown Brown Brown Yellow Green Yellow Green Green Green Brown Green Green Brown Green Green Green Green Row 16: Green Green Green Green Green Green Green Green Green Gray Yellow Black Yellow Purple Gray Brown Gray Yellow Green Purple Green Yellow Green Green Green Green Green Green Green Green Row 17: Green Green Green Green Green Green Green Green Green Yellow Yellow Green Gray Black Yellow Purple Black Black Green Green Green Green Green Green Green Green Green Green Green Green Row 18: Green Green Green Green Green Green Green Green Green Green Yellow Brown Purple Brown Purple Green Yellow Black Green Green Green Green Green Green Green Green Green Green Green Green Row 19: 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 Green Row 20: Green Pink 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 Pink Green Green Row 21: 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 Green Output: Row 1: 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 Green Row 2: Green Pink 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 Pink Green Green Row 3: Green Green Green Green Green Green Green Green Green Green Gray Gray Black Purple Brown Gray Green Black Purple Green Green Green Green Green Green Green Green Green Green Green Row 4: Green Green Green Green Green Green Green Green Green Green Purple Purple Green Green Black Brown Black Green Green Green Green Green Green Green Green Green Green Green Green Green Row 5: Green Green Green Green Green Green Green Green Green Green Yellow Brown Brown Yellow Green Gray Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Green Green Green Green Green Black Yellow Purple Black Brown Purple Purple Purple Green Green Purple Green Green Green Green Green Green Green Green Row 7: Green Green Green Green Green Purple Green Green Purple Brown Gray Brown Purple Yellow Brown Black Brown Purple Black Green Purple Green Green Green Green Green Green Green Green Green Row 8: Green Green Green Green Black Green Yellow Purple Purple Yellow Black Brown Black Black Green Purple Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Row 9: Green Green Gray Black Purple Green Brown Black Yellow Purple Gray Green Gray Purple Black Gray Yellow Gray Gray Purple Black Green Green Green Green Green Green Green Green Green Row 10: Green Green Green Black Gray Brown Gray Green Brown Purple Brown Black Brown Gray Green Black Gray Brown Yellow Purple Green Green Brown Green Green Green Green Green Green Green Row 11: Green Green Green Yellow Brown Purple Yellow Yellow Green Black Yellow Yellow Brown Black Purple Yellow Brown Gray Gray Gray Green Black Green Yellow Purple Green Green Green Green Green Row 12: Green Green Green Black Green Purple Purple Gray Brown Brown Black Brown Brown Brown Purple Yellow Green Black Gray Green Yellow Brown Yellow Brown Green Brown Gray Green Green Green Row 13: Green Green Brown Green Black Green Purple Black Gray Gray Purple Black Purple Black Green Yellow Black Gray Brown Brown Black Black Purple Yellow Yellow Gray Green Green Green Green Row 14: Green Green Green Green Green Black Black Yellow Brown Brown Yellow Black Brown Purple Yellow Black Green Yellow Green Gray Brown Black Gray Purple Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Gray Yellow Gray Yellow Black Purple Yellow Yellow Black Gray Brown Black Gray Black Gray Green Purple Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Purple Yellow Brown Black Brown Brown Brown Brown Yellow Green Yellow Green Green Green Brown Green Green Brown Green Green Green Green Green Row 17: Green Green Green Green Green Green Green Green Gray Yellow Black Yellow Purple Gray Brown Gray Yellow Green Purple Green Yellow Green Green Green Green Green Green Green Green Green Row 18: Green Green Green Green Green Green Green Green Yellow Yellow Green Gray Black Yellow Purple Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Green Green Green Green Green Yellow Brown Purple Brown Purple Green Yellow Black Green Green Green Green Green Green Green Green Green Green Green Green Green Row 20: Green Pink 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 Pink Green Green Row 21: 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 Green Example 3 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Red Green Green Gray Red Gray Green Red Gray Gray Orange Gray Red Black Orange Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Black Orange Red Red Green Green Orange Yellow Brown Yellow Red Red Yellow Gray Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Brown Red Orange Gray Black Red Gray Green Black Gray Orange Yellow Brown Brown Black Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Brown Black Gray Black Yellow Red Black Brown Orange Orange Black Gray Green Green Green Brown Yellow Yellow Row 13: Yellow Yellow Yellow Orange Brown Green Gray Red Green Black Gray Yellow Gray Green Brown Brown Brown Yellow Yellow Yellow Yellow Row 14: Yellow Yellow Yellow Green Yellow Black Green Gray Orange Black Gray Brown Green Black Yellow Brown Yellow Green Yellow Yellow Yellow Row 15: Yellow Yellow Yellow Green Brown Brown Gray Red Orange Red Yellow Brown Yellow Black Black Gray Yellow Yellow Gray Yellow Yellow Row 16: Yellow Yellow Yellow Gray Brown Gray Red Gray Black Red Black Green Gray Green Gray Orange Gray Yellow Yellow Orange Yellow Row 17: Yellow Yellow Yellow Red Green Black Red Gray Yellow Gray Orange Yellow Yellow Black Yellow Brown Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Black Orange Orange Red Yellow Brown Gray Brown Black Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Blue Gray Red Black Yellow Green Brown Red Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Row 20: Yellow Yellow Yellow Yellow Black Brown Yellow Brown Yellow Black Brown Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 27: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Row 7: Yellow Yellow Yellow Red Green Green Gray Red Gray Green Red Gray Gray Orange Gray Red Black Orange Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Black Orange Red Red Green Green Orange Yellow Brown Yellow Red Red Yellow Gray Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Brown Red Orange Gray Black Red Gray Green Black Gray Orange Yellow Brown Brown Black Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Brown Black Gray Black Yellow Red Black Brown Orange Orange Black Gray Green Green Green Brown Yellow Yellow Row 11: Yellow Yellow Yellow Orange Brown Green Gray Red Green Black Gray Yellow Gray Green Brown Brown Brown Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Green Yellow Black Green Gray Orange Black Gray Brown Green Black Yellow Brown Yellow Green Yellow Yellow Yellow Row 13: Yellow Yellow Yellow Green Brown Brown Gray Red Orange Red Yellow Brown Yellow Black Black Gray Yellow Yellow Gray Yellow Yellow Row 14: Yellow Yellow Yellow Gray Brown Gray Red Gray Black Red Black Green Gray Green Gray Orange Gray Yellow Yellow Orange Yellow Row 15: Yellow Yellow Yellow Red Green Black Red Gray Yellow Gray Orange Yellow Yellow Black Yellow Brown Yellow Yellow Yellow Yellow Yellow Row 16: Yellow Yellow Yellow Black Orange Orange Red Yellow Brown Gray Brown Black Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Yellow Yellow Gray Red Black Yellow Green Brown Red Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Black Brown Yellow Brown Yellow Black Brown Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 27: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Here is the input grid for the test example: Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Pink Orange Brown Orange Pink Brown Pink Brown Pink Brown Orange Pink Orange Brown Orange Pink Orange Gray Gray Row 4: Gray Gray Gray Gray Pink Orange Brown Orange Pink Pink Brown Brown Brown Pink Pink Orange Gray Pink Gray Gray Gray Gray Row 5: Gray Gray Black Pink Brown Pink Pink Brown Brown Pink Brown Brown Orange Brown Orange Pink Brown Gray Orange Gray Black Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Pink Orange Brown Orange Pink Brown Pink Brown Pink Brown Orange Pink Orange Brown Orange Pink Orange Gray Gray Gray Gray Gray Gray Pink Orange Brown Orange Pink Pink Brown Brown Brown Pink Pink Orange Gray Pink Gray Gray Gray Gray Gray Gray Gray Pink Brown Pink Pink Brown Brown Pink Brown Brown Orange Brown Orange Pink Brown Gray Orange Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Black Black Black Black Row 2: Black Black Pink Black Black Black Black Black Row 3: Black Black Pink Black Black Black Black Black Row 4: Black Black Pink Black Black Black Black Black Row 5: Black Black Pink Black Black Black Black Black Row 6: Black Black Pink Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Row 18: Black Black Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Row 21: Black Black Black Black Black Black Black Black Row 22: Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Row 18: Black Black Blue Black Black Black Black Black Row 19: Black Black Blue Black Black Black Black Black Row 20: Black Black Blue Black Black Black Black Black Row 21: Black Black Blue Black Black Black Black Black Row 22: Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 2 Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Red Red Red Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Green Green Purple Green Green Green Green Green Purple Green Green Green Green Green Purple Purple Purple Green Row 14: Green Green Purple Green Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Output: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Green Green Blue Green Green Green Green Green Blue Green Green Green Green Green Blue Blue Blue Green Row 14: Green Green Blue Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Example 3 Input: Row 1: Green Green Green Green Green Green Row 2: Green Green Green Green Green Green Row 3: Green Gray Gray Green Green Green Row 4: Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Red Red Row 10: Gray Gray Gray Gray Red Red Row 11: Gray Gray Gray Gray Red Gray Row 12: Gray Gray Gray Gray Red Gray Row 13: Gray Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Row 16: Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Gray Gray Gray Row 19: Gray Gray Gray Gray Gray Gray Row 20: Gray Gray Gray Gray Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Row 22: Gray Gray Gray Gray Gray Gray Output: Row 1: Green Green Green Green Green Green Row 2: Green Green Green Green Green Green Row 3: Green Blue Blue Green Green Green Row 4: Gray Blue Blue Gray Gray Gray Row 5: Gray Blue Gray Gray Gray Gray Row 6: Gray Blue Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Row 16: Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Gray Gray Gray Row 19: Gray Gray Gray Gray Gray Gray Row 20: Gray Gray Gray Gray Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Row 22: Gray Gray Gray Gray Gray Gray Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Row 2: Pink Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Row 3: Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Row 4: Black Pink Black Pink Pink Pink Pink Pink Pink Pink Orange Orange Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Row 9: Pink Pink Black Black Black Black Pink Pink Pink Orange Orange Orange Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Orange Orange Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Orange Orange Pink Pink Pink Pink Pink Pink Pink Blue Pink Blue Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Purple Blue Purple Purple Red Red Purple Purple Yellow Yellow Purple Purple Yellow Yellow Yellow Purple Brown Purple Purple Brown Row 2: Purple Blue Blue Blue Purple Red Purple Red Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Brown Brown Purple Brown Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Brown Brown Brown Purple Purple Purple Purple Pink Purple Purple Purple Red Red Purple Purple Purple Purple Purple Blue Purple Blue Row 5: Brown Purple Purple Purple Purple Pink Pink Pink Purple Red Red Purple Red Red Red Purple Purple Purple Blue Purple Blue Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Blue Blue Purple Purple Purple Purple Yellow Purple Purple Yellow Yellow Purple Yellow Yellow Yellow Purple Purple Orange Orange Orange Orange Row 8: Purple Blue Blue Purple Purple Purple Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Row 9: Blue Blue Blue Blue Purple Yellow Yellow Purple Purple Yellow Yellow Purple Yellow Yellow Yellow Yellow Purple Orange Purple Purple Orange Row 10: Blue Blue Blue Blue Purple Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Orange Purple Orange Orange Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Pink Pink Pink Pink Purple Brown Brown Purple Purple Orange Orange Orange Purple Orange Orange Orange Purple Purple Red Purple Red Row 13: Pink Purple Pink Purple Purple Purple Brown Purple Purple Orange Orange Orange Orange Orange Orange Orange Purple Purple Red Purple Red Row 14: Purple Purple Purple Purple Purple Brown Brown Brown Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Pink Pink Purple Purple Red Red Purple Purple Purple Yellow Purple Yellow Yellow Yellow Purple Purple Orange Purple Orange Orange Row 17: Pink Pink Purple Pink Purple Red Red Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Orange Orange Purple Orange Output: Row 1: Blue Red Yellow Brown Row 2: Brown Pink Red Blue Row 3: Blue Yellow Yellow Orange Row 4: Pink Brown Orange Red Row 5: Pink Red Yellow Orange Example 2 Input: Row 1: Gray Gray Gray Red Orange Orange Red Pink Pink Pink Pink Red Yellow Yellow Red Yellow Yellow Yellow Red Brown Red Row 2: Gray Gray Gray Red Red Red Red Pink Pink Pink Red Red Red Yellow Red Yellow Red Yellow Red Red Brown Row 3: Gray Gray Gray Red Orange Red Red Pink Pink Red Pink Red Red Yellow Red Yellow Yellow Red Red Brown Brown Row 4: Gray Gray Gray Red Orange Red Red Pink Pink Pink Pink Red Yellow Red Red Red Yellow Yellow Red Brown Brown Row 5: Gray Gray Gray Red Red Orange Red Pink Pink Pink Pink Red Red Red Red Red Red Yellow Red Brown Red Row 6: Gray Gray Gray Red Red Orange Red Pink Red Pink Pink Red Yellow Red Red Red Yellow Red Red Brown Brown Row 7: Gray Gray Red Red Orange Orange Red Pink Pink Pink Pink Red Red Red Red Red Red Red Red Brown Red Row 8: Gray Gray Gray Red Red Orange Red Pink Pink Pink Pink Red Yellow Yellow Red Yellow Red Yellow Red Brown Brown Row 9: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 10: Orange Orange Orange Red Gray Gray Red Red Gray Gray Gray Red Pink Pink Red Orange Orange Orange Red Red Gray Row 11: Orange Orange Orange Red Gray Gray Red Gray Red Red Red Red Pink Red Red Orange Orange Orange Red Gray Red Row 12: Orange Orange Orange Red Gray Gray Red Gray Red Gray Red Red Pink Red Red Orange Red Orange Red Red Gray Row 13: Orange Orange Orange Red Red Gray Red Gray Gray Red Red Red Pink Pink Red Orange Orange Red Red Gray Red Row 14: Orange Orange Red Red Red Gray Red Red Gray Gray Red Red Red Pink Red Orange Orange Orange Red Red Gray Row 15: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 16: Orange Red Orange Red Red Brown Red Red Gray Gray Gray Red Green Green Red Black Black Red Red Red Black Row 17: Red Orange Orange Red Brown Brown Red Red Gray Red Red Red Green Red Red Black Black Black Red Black Red Row 18: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 19: Red Orange Red Red Red Red Red Red Brown Brown Red Red Red Black Red Red Red Gray Red Gray Gray Row 20: Orange Orange Orange Red Green Green Red Brown Red Brown Brown Red Black Black Red Gray Gray Red Red Red Gray Row 21: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 22: Gray Gray Red Red Red Brown Red Orange Orange Red Red Red Pink Pink Red Green Green Green Red Brown Red Row 23: Gray Gray Gray Red Brown Brown Red Orange Red Red Red Red Pink Pink Red Red Green Green Red Red Red Row 24: Gray Gray Gray Red Brown Brown Red Red Orange Orange Orange Red Red Pink Red Red Green Green Red Brown Red Row 25: Red Red Gray Red Brown Brown Red Red Red Orange Orange Red Pink Pink Red Green Green Red Red Brown Red Row 26: Gray Gray Gray Red Red Red Red Orange Orange Orange Red Red Pink Pink Red Green Green Green Red Red Brown Row 27: Gray Gray Red Red Brown Red Red Orange Orange Red Red Red Pink Pink Red Green Green Green Red Brown Brown Row 28: Gray Gray Gray Red Brown Brown Red Orange Orange Red Red Red Pink Pink Red Green Green Red Red Red Brown Output: Row 1: Gray Orange Pink Yellow Yellow Brown Row 2: Orange Gray Gray Pink Orange Gray Row 3: Orange Brown Gray Green Black Black Row 4: Orange Green Brown Black Gray Gray Row 5: Gray Brown Orange Pink Green Brown Example 3 Input: Row 1: Yellow Pink Pink Pink Green Pink Green Pink Pink Pink Blue Blue Pink Pink Purple Pink Blue Pink Blue Blue Blue Pink Yellow Yellow Row 2: Yellow Pink Pink Pink Green Green Green Green Pink Blue Pink Pink Pink Pink Purple Pink Blue Blue Blue Blue Blue Pink Yellow Yellow Row 3: Pink Yellow Pink Pink Pink Green Green Green Pink Pink Pink Blue Pink Purple Purple Pink Blue Blue Blue Blue Blue Pink Yellow Yellow Row 4: Yellow Pink Pink Pink Green Pink Green Green Pink Pink Blue Blue Pink Purple Pink Pink Blue Blue Pink Blue Blue Pink Pink Yellow Row 5: Pink Yellow Yellow Pink Pink Green Green Pink Pink Blue Blue Pink Pink Purple Purple Pink Blue Blue Blue Blue Blue Pink Yellow Yellow Row 6: Yellow Yellow Yellow Pink Pink Green Green Pink Pink Pink Blue Blue Pink Purple Pink Pink Blue Blue Blue Blue Blue Pink Yellow Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Purple Purple Purple Pink Blue Pink Pink Blue Pink Black Black Pink Pink Pink Orange Pink Pink Pink Pink Red Red Pink Blue Pink Row 9: Purple Purple Purple Pink Pink Blue Blue Pink Pink Pink Pink Pink Pink Pink Orange Pink Red Red Red Pink Red Pink Blue Blue Row 10: Purple Purple Purple Pink Blue Blue Blue Pink Pink Pink Black Black Pink Pink Orange Pink Red Red Pink Pink Pink Pink Pink Blue Row 11: Purple Purple Purple Pink Pink Pink Pink Blue Pink Black Black Pink Pink Pink Orange Pink Red Red Red Pink Red Pink Blue Pink Row 12: Purple Purple Purple Pink Pink Blue Blue Blue Pink Black Black Pink Pink Orange Orange Pink Red Pink Red Pink Pink Pink Blue Pink Row 13: Purple Purple Purple Pink Pink Pink Blue Pink Pink Black Black Black Pink Pink Pink Pink Pink Red Red Red Pink Pink Blue Blue Row 14: Purple Purple Pink Pink Pink Pink Blue Pink Pink Pink Black Black Pink Pink Orange Pink Pink Pink Red Pink Red Pink Blue Blue Row 15: Purple Pink Purple Pink Blue Blue Blue Blue Pink Pink Black Black Pink Pink Orange Pink Red Pink Red Red Red Pink Blue Blue Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Red Red Red Pink Blue Pink Pink Pink Pink Pink Pink Green Pink Pink Green Pink Pink Blue Blue Blue Blue Pink Orange Pink Row 18: Red Red Red Pink Blue Blue Blue Pink Pink Pink Green Green Pink Pink Green Pink Blue Pink Blue Pink Blue Pink Orange Orange Row 19: Red Red Red Pink Pink Pink Blue Blue Pink Pink Pink Green Pink Green Green Pink Pink Blue Pink Blue Pink Pink Orange Orange Row 20: Red Red Pink Pink Pink Blue Blue Blue Pink Green Green Green Pink Green Green Pink Pink Blue Blue Blue Blue Pink Orange Orange Row 21: Red Red Red Pink Blue Pink Blue Blue Pink Pink Pink Green Pink Pink Green Pink Blue Blue Pink Blue Pink Pink Pink Orange Row 22: Red Pink Red Pink Pink Pink Blue Blue Pink Green Green Green Pink Pink Green Pink Blue Blue Pink Pink Pink Pink Orange Orange Row 23: Red Red Red Pink Pink Blue Pink Blue Pink Pink Green Pink Pink Green Green Pink Blue Blue Pink Pink Pink Pink Orange Orange Output: Row 1: Yellow Green Blue Purple Blue Yellow Row 2: Purple Blue Black Orange Red Blue Row 3: Red Blue Green Green Blue Orange Here is the input grid for the test example: Input: Row 1: Purple Blue Blue Purple Purple Green Purple Green Purple Green Purple Purple Gray Gray Purple Purple Pink Row 2: Blue Blue Blue Purple Green Purple Purple Purple Purple Green Purple Gray Gray Gray Purple Purple Pink Row 3: Blue Blue Blue Purple Purple Green Purple Green Green Purple Purple Gray Purple Gray Purple Purple Pink Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Pink Pink Pink Purple Brown Brown Purple Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Pink Pink Row 6: Pink Pink Pink Purple Purple Brown Purple Purple Yellow Yellow Purple Yellow Yellow Yellow Purple Purple Pink Row 7: Pink Purple Pink Purple Purple Brown Purple Yellow Yellow Yellow Purple Yellow Purple Yellow Purple Pink Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Green Purple Purple Purple Gray Purple Green Green Green Purple Brown Brown Brown Purple Gray Purple Row 10: Green Green Purple Purple Gray Purple Purple Purple Green Green Purple Brown Brown Brown Purple Purple Purple Row 11: Green Green Green Purple Gray Gray Purple Green Green Purple Purple Purple Brown Brown Purple Gray Gray Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Blue Blue Blue Purple Purple Green Purple Red Red Red Purple Pink Pink Purple Purple Purple Red Row 14: Purple Purple Blue Purple Purple Green Purple Purple Red Purple Purple Pink Purple Pink Purple Red Red Row 15: Purple Blue Blue Purple Green Green Purple Red Red Red Purple Purple Pink Pink Purple Purple Red Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Blue Green Green Gray Pink Pink Brown Yellow Yellow Pink Green Gray Green Brown Gray Blue Green Red Pink Red
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Gray Purple Purple Brown Purple Purple Brown Purple Row 13: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Black Row 16: Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Row 17: Gray Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Row 18: Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 20: Purple Purple Purple Purple Purple Purple Brown Purple Purple Brown Purple Row 21: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 22: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Output: Row 1: Brown Gray Green Brown Row 2: Black Purple Purple Gray Row 3: Purple Purple Purple Green Row 4: Green Purple Purple Purple Row 5: Purple Purple Purple Orange Row 6: Purple Purple Purple Orange Row 7: Gray Purple Purple Purple Row 8: Purple Purple Purple Black Row 9: Brown Orange Black Brown Example 2 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Gray Pink Gray Pink Pink Pink Pink Pink Yellow Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Yellow Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Black Pink Pink Gray Pink Gray Pink Black Row 2: Yellow Pink Pink Pink Pink Pink Pink Pink Row 3: Purple Pink Pink Pink Pink Pink Pink Gray Row 4: Black Pink Purple Pink Yellow Purple Yellow Black Example 3 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 16: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Row 19: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Row 20: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Row 21: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 24: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 25: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Green Yellow Yellow Yellow Yellow Yellow Yellow Green Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 4: Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Row 9: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Row 10: Green Yellow Yellow Yellow Red Red Yellow Green Here is the input grid for the test example: Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 6: 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 Row 7: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Yellow Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Row 10: 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 Row 11: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 12: Gray Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 13: Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Purple Orange Red Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Row 14: 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 Row 15: 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 Row 16: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Orange Orange Orange Orange Orange Orange Orange Row 17: 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 Row 18: 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 Row 19: 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 Row 20: Gray Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 21: 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 Row 22: 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 Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Gray Orange Red Purple Red Yellow Orange Red Yellow Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Red Orange Red Purple Purple Red Orange Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 4: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 5: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 6: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 7: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 8: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 9: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 10: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 11: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 12: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 13: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 14: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 15: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 16: Gray Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Row 17: Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Output: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 3: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 4: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 5: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 6: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 7: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 10: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 11: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 12: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 13: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 14: Orange Orange Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Example 2 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 5: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 6: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 7: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 8: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 9: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 10: Brown Brown Yellow Brown Pink Pink Pink Pink Pink Pink Pink Row 11: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 12: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 13: Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Row 3: Yellow Yellow Yellow Yellow Row 4: Yellow Yellow Yellow Yellow Row 5: Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Brown Yellow Row 8: Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 4: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 5: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 6: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Row 9: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 10: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 11: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 12: Red Red Red Red Red Red Brown Brown Blue Brown Brown Brown Brown Brown Red Red Row 13: Red Red Red Red Red Red Brown Brown Blue Brown Brown Brown Brown Brown Red Red Row 14: Red Red Red Red Red Red Brown Brown Blue Brown Brown Brown Brown Brown Red Red Row 15: Red Red Red Red Red Red Brown Brown Blue Brown Brown Brown Brown Brown Red Red Row 16: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 17: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 18: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Row 19: Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Output: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Brown Blue Blue Blue Blue Blue Row 5: Blue Blue Brown Blue Blue Blue Blue Blue Row 6: Blue Blue Brown Blue Blue Blue Blue Blue Row 7: Blue Blue Brown Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Blue Blue Blue Here is the input grid for the test example: Input: Row 1: Red Pink Pink Pink Pink Pink Pink Pink Red Row 2: Red Pink Brown Brown Brown Brown Brown Pink Red Row 3: Red Pink Pink Pink Pink Pink Pink Pink Red Row 4: Red Red Red Red Red Red Red Red Red Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Purple Purple Purple Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Purple Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Brown Brown Row 5: Pink Pink Pink Pink Pink Pink Pink Purple Pink Purple Purple Pink Brown Brown Row 6: Pink Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Brown Brown Row 7: Pink Orange Pink Pink Pink Green Green Pink Pink Pink Blue Blue Pink Pink Row 8: Pink Orange Pink Brown Pink Pink Pink Gray Pink Pink Pink Blue Pink Pink Row 9: Gray Pink Pink Brown Brown Pink Pink Gray Gray Gray Pink Blue Blue Pink Row 10: Gray Gray Gray Pink Brown Pink Pink Gray Gray Pink Green Pink Pink Pink Row 11: Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Row 12: Pink Gray Gray Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Row 13: Pink Gray Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Purple Purple Purple Purple Pink Pink Green Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Green Green Pink Pink Row 17: Yellow Pink Orange Orange Pink Pink Pink Pink Blue Pink Green Green Green Pink Row 18: Pink Pink Orange Orange Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Row 19: Pink Pink Orange Orange Orange Pink Pink Pink Blue Pink Pink Pink Pink Pink Row 20: Yellow Yellow Pink Orange Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Row 21: Yellow Yellow Pink Pink Pink Pink Pink Pink Red Pink Pink Yellow Yellow Yellow Row 22: Yellow Yellow Pink Pink Pink Pink Pink Pink Red Red Pink Yellow Pink Pink Output: Row 1: Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Blue Blue Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Blue Pink Pink Pink Pink Pink Red Red Red Pink Pink Red Red Row 5: Pink Pink Pink Pink Pink Pink Pink Red Pink Red Red Pink Red Red Row 6: Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Red Red Row 7: Pink Blue Pink Pink Pink Blue Blue Pink Pink Pink Blue Blue Pink Pink Row 8: Pink Blue Pink Blue Pink Pink Pink Red Pink Pink Pink Blue Pink Pink Row 9: Blue Pink Pink Blue Blue Pink Pink Red Red Red Pink Blue Blue Pink Row 10: Blue Blue Blue Pink Blue Pink Pink Red Red Pink Red Pink Pink Pink Row 11: Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Red Pink Pink Pink Row 12: Pink Blue Blue Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Row 13: Pink Blue Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Red Red Red Red Pink Pink Red Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Red Red Pink Pink Red Red Pink Pink Row 17: Blue Pink Blue Blue Pink Pink Pink Pink Blue Pink Red Red Red Pink Row 18: Pink Pink Blue Blue Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Row 19: Pink Pink Blue Blue Blue Pink Pink Pink Blue Pink Pink Pink Pink Pink Row 20: Red Red Pink Blue Pink Pink Pink Pink Pink Pink Pink Red Red Pink Row 21: Red Red Pink Pink Pink Pink Pink Pink Blue Pink Pink Red Red Red Row 22: Red Red Pink Pink Pink Pink Pink Pink Blue Blue Pink Red Pink Pink Example 2 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Brown Brown Yellow Black Black Black Yellow Yellow Orange Yellow Yellow Yellow Row 4: Yellow Brown Yellow Black Black Black Yellow Yellow Orange Orange Yellow Yellow Row 5: Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Red Red Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Brown Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Row 13: Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Yellow Brown Yellow Row 14: Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 16: Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Row 19: Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Row 20: Yellow Blue Yellow Yellow Yellow Brown Yellow Yellow Yellow Red Yellow Yellow Row 21: Yellow Blue Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Blue Blue Yellow Brown Brown Yellow Yellow Yellow Yellow Orange Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Row 24: Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Row 25: Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Blue Blue Yellow Blue Blue Blue Yellow Yellow Blue Yellow Yellow Yellow Row 4: Yellow Blue Yellow Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Row 5: Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Row 9: Yellow Yellow Blue Blue Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Row 13: Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Row 14: Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 15: Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 16: Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 17: Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Row 19: Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Row 20: Yellow Red Yellow Yellow Yellow Blue Yellow Yellow Yellow Red Yellow Yellow Row 21: Yellow Red Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Row 22: Yellow Red Red Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Yellow Row 23: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Row 24: Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Row 25: Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 26: Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Orange Black Black Row 2: Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Row 3: Black Black Black Gray Black Black Black Black Black Black Black Black Black Row 4: Black Black Gray Gray Gray Black Black Black Black Black Black Pink Black Row 5: Black Black Gray Black Black Black Black Black Black Black Black Pink Black Row 6: Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Row 7: Black Black Purple Black Black Black Black Black Black Black Black Black Black Row 8: Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Row 9: Black Purple Purple Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Orange Black Black Blue Black Black Black Black Row 11: Black Black Black Orange Orange Orange Orange Black Blue Blue Black Black Black Row 12: Black Black Purple Black Black Orange Black Black Blue Black Black Black Black Row 13: Black Black Purple Black Black Black Black Black Blue Blue Black Black Black Row 14: Black Black Purple Purple Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Red Red Red Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Purple Black Black Row 17: Black Black Black Yellow Black Yellow Yellow Black Black Purple Purple Black Black Row 18: Black Green Black Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Row 19: Black Green Black Black Black Black Black Black Black Black Purple Black Black Row 20: Green Green Black Black Black Black Black Black Black Black Black Black Black Row 21: Green Green Green Black Black Yellow Yellow Yellow Black Black Gray Gray Gray Row 22: Black Black Black Black Black Yellow Yellow Black Black Black Gray Gray Gray Row 23: Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Blue Black Black Row 2: Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Row 3: Black Black Black Blue Black Black Black Black Black Black Black Black Black Row 4: Black Black Blue Blue Blue Black Black Black Black Black Black Red Black Row 5: Black Black Blue Black Black Black Black Black Black Black Black Red Black Row 6: Black Black Black Black Black Black Black Black Black Red Red Red Red Row 7: Black Black Red Black Black Black Black Black Black Black Black Black Black Row 8: Red Red Red Black Black Black Black Black Black Black Black Black Black Row 9: Black Red Red Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Red Black Black Red Black Black Black Black Row 11: Black Black Black Red Red Red Red Black Red Red Black Black Black Row 12: Black Black Blue Black Black Red Black Black Red Black Black Black Black Row 13: Black Black Blue Black Black Black Black Black Red Red Black Black Black Row 14: Black Black Blue Blue Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Red Black Black Row 17: Black Black Black Blue Black Blue Blue Black Black Red Red Black Black Row 18: Black Blue Black Blue Blue Blue Blue Black Black Red Red Black Black Row 19: Black Blue Black Black Black Black Black Black Black Black Red Black Black Row 20: Blue Blue Black Black Black Black Black Black Black Black Black Black Black Row 21: Blue Blue Blue Black Black Blue Blue Blue Black Black Red Red Red Row 22: Black Black Black Black Black Blue Blue Black Black Black Red Red Red Row 23: Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Here is the input grid for the test example: Input: Row 1: Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Brown Brown Brown Brown Brown Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Brown Brown Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Blue Gray Gray Gray Purple Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Blue Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Gray Row 16: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Row 19: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Row 20: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Row 21: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Red Red Red 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 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 Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Blue Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red 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 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 Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Pink Red Red Red Black Red Row 2: Pink Red Red Purple Red Green Row 3: Red Pink Pink Red Green Black Row 4: Red Red Blue Red Red Red Row 5: Red Red Green Red Red Blue Row 6: Blue Brown Red Red Red Red Row 7: Blue Black Red Red Red Brown Row 8: Red Red Red Red Red Black Row 9: Red Red Red Black Red Red Row 10: Orange Red Red Blue Yellow Red Row 11: Red Red Red Red Blue Red Output: Row 1: Pink Red Red Red Black Red Red Black Red Red Red Pink Row 2: Pink Red Red Purple Red Green Green Red Purple Red Red Pink Row 3: Red Pink Pink Red Green Black Black Green Red Pink Pink Red Row 4: Red Red Blue Red Red Red Red Red Red Blue Red Red Row 5: Red Red Green Red Red Blue Blue Red Red Green Red Red Row 6: Blue Brown Red Red Red Red Red Red Red Red Brown Blue Row 7: Blue Black Red Red Red Brown Brown Red Red Red Black Blue Row 8: Red Red Red Red Red Black Black Red Red Red Red Red Row 9: Red Red Red Black Red Red Red Red Black Red Red Red Row 10: Orange Red Red Blue Yellow Red Red Yellow Blue Red Red Orange Row 11: Red Red Red Red Blue Red Red Blue Red Red Red Red Row 12: Red Red Red Red Blue Red Red Blue Red Red Red Red Row 13: Orange Red Red Blue Yellow Red Red Yellow Blue Red Red Orange Row 14: Red Red Red Black Red Red Red Red Black Red Red Red Row 15: Red Red Red Red Red Black Black Red Red Red Red Red Row 16: Blue Black Red Red Red Brown Brown Red Red Red Black Blue Row 17: Blue Brown Red Red Red Red Red Red Red Red Brown Blue Row 18: Red Red Green Red Red Blue Blue Red Red Green Red Red Row 19: Red Red Blue Red Red Red Red Red Red Blue Red Red Row 20: Red Pink Pink Red Green Black Black Green Red Pink Pink Red Row 21: Pink Red Red Purple Red Green Green Red Purple Red Red Pink Row 22: Pink Red Red Red Black Red Red Black Red Red Red Pink Example 2 Input: Row 1: Black Black Black Black Black Black Black Black Black Pink Row 2: Black Purple Purple Gray Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Purple Black Row 4: Yellow Black Purple Black Black Black Black Black Black Pink Row 5: Pink Black Black Black Black Black Purple Purple Yellow Black Row 6: Black Black Black Black Yellow Pink Black Pink Black Black Row 7: Black Black Black Purple Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Row 2: Black Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Black Row 3: Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black Row 4: Yellow Black Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Purple Black Yellow Row 5: Pink Black Black Black Black Black Purple Purple Yellow Black Black Yellow Purple Purple Black Black Black Black Black Pink Row 6: Black Black Black Black Yellow Pink Black Pink Black Black Black Black Pink Black Pink Yellow Black Black Black Black Row 7: Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Row 8: Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Row 9: Black Black Black Black Yellow Pink Black Pink Black Black Black Black Pink Black Pink Yellow Black Black Black Black Row 10: Pink Black Black Black Black Black Purple Purple Yellow Black Black Yellow Purple Purple Black Black Black Black Black Pink Row 11: Yellow Black Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Purple Black Yellow Row 12: Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black Row 13: Black Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Black Row 14: Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Example 3 Input: Row 1: Brown Orange Row 2: Brown Green Row 3: Green Blue Row 4: Brown Brown Row 5: Gray Red Row 6: Brown Brown Row 7: Brown Blue Output: Row 1: Brown Orange Orange Brown Row 2: Brown Green Green Brown Row 3: Green Blue Blue Green Row 4: Brown Brown Brown Brown Row 5: Gray Red Red Gray Row 6: Brown Brown Brown Brown Row 7: Brown Blue Blue Brown Row 8: Brown Blue Blue Brown Row 9: Brown Brown Brown Brown Row 10: Gray Red Red Gray Row 11: Brown Brown Brown Brown Row 12: Green Blue Blue Green Row 13: Brown Green Green Brown Row 14: Brown Orange Orange Brown Here is the input grid for the test example: Input: Row 1: Gray Red Gray Gray Row 2: Purple Gray Red Purple Row 3: Purple Red Red Purple Row 4: Gray Gray Purple Gray Row 5: Red Gray Gray Gray Row 6: Gray Gray Gray Purple Row 7: Gray Purple Purple Black Row 8: Gray Red Gray Gray Row 9: Gray Gray Gray Red Row 10: Red Red Red Gray Row 11: Red Purple Purple Gray Row 12: Red Gray Red Purple Row 13: Black Red Red Red Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Gray Red Gray Gray Gray Gray Red Gray Purple Gray Red Purple Purple Red Gray Purple Purple Red Red Purple Purple Red Red Purple Gray Gray Purple Gray Gray Purple Gray Gray Red Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Black Black Purple Purple Gray Gray Red Gray Gray Gray Gray Red Gray Gray Gray Gray Red Red Gray Gray Gray Red Red Red Gray Gray Red Red Red Red Purple Purple Gray Gray Purple Purple Red Red Gray Red Purple Purple Red Gray Red Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Red Gray Red Purple Purple Red Gray Red Red Purple Purple Gray Gray Purple Purple Red Red Red Red Gray Gray Red Red Red Gray Gray Gray Red Red Gray Gray Gray Gray Red Gray Gray Gray Gray Red Gray Gray Purple Purple Black Black Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Red Gray Gray Purple Gray Gray Purple Gray Gray Purple Red Red Purple Purple Red Red Purple Purple Gray Red Purple Purple Red Gray Purple Gray Red Gray Gray Gray Gray Red Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Black Purple Black Black Orange Black Black Black Black Black Black Black Black Black Black Pink Black Black Row 2: Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Row 3: Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Pink Black Black Black Black Orange Black Gray Row 4: Black Black Black Black Black Black Black Gray Black Red Black Black Gray Black Black Black Black Black Purple Black Black Black Row 5: Black Gray Black Black Black Gray Black Black Black Black Black Pink Black Black Black Gray Black Black Gray Black Gray Black Row 6: Black Black Gray Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Row 7: Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Green Orange Black Black Black Black Row 8: Black Black Black Black Orange Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Row 11: Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Output: Row 1: Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Row 2: Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Row 3: Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Blue Row 4: Black Black Black Black Black Black Black Blue Black Blue Black Black Blue Black Black Black Black Black Purple Black Black Black Row 5: Black Blue Black Black Black Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Gray Black Gray Black Row 6: Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Row 7: Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Green Orange Black Black Black Black Row 8: Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Row 11: Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Blue Example 2 Input: Row 1: Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Red Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Example 3 Input: Row 1: Black Black Black Black Gray Gray Black Gray Green Black Black Black Black Gray Orange Gray Orange Black Black Black Black Black Black Row 2: Black Gray Black Black Black Green Black Black Gray Black Black Black Black Black Black Black Gray Gray Gray Black Black Gray Black Row 3: Black Green Black Black Black Black Black Black Gray Black Black Black Black Gray Black Orange Black Black Black Gray Black Orange Black Row 4: Black Black Black Black Green Gray Black Black Gray Gray Orange Black Gray Orange Black Black Orange Gray Green Black Black Gray Black Row 5: Black Gray Black Black Black Black Gray Gray Orange Black Black Black Gray Orange Black Black Green Gray Black Black Gray Black Green Row 6: Black Black Gray Black Black Black Black Gray Black Gray Black Orange Black Black Black Orange Black Green Gray Black Black Black Black Row 7: Black Black Black Green Black Green Gray Black Gray Green Black Gray Black Black Black Black Orange Orange Gray Orange Gray Black Black Row 8: Black Black Black Black Gray Gray Black Gray Black Black Black Gray Black Gray Black Black Black Orange Black Gray Black Gray Black Row 9: Green Black Gray Gray Black Gray Black Gray Black Green Gray Gray Black Black Gray Black Black Black Green Black Gray Black Black Row 10: Gray Gray Gray Gray Green Black Green Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Green Black Black Gray Orange Black Black Black Orange Orange Black Black Black Black Gray Black Black Black Black Black Gray Row 12: Orange Black Black Green Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Orange Black Black Gray Black Row 13: Orange Black Black Black Green Orange Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Row 14: Black Gray Black Black Black Gray Black Orange Black Black Black Black Black Gray Gray Black Black Gray Black Black Black Black Black Row 15: Gray Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Green Black Black Black Gray Row 16: Black Black Orange Black Black Black Black Black Black Orange Gray Black Black Black Gray Green Black Black Gray Black Black Black Gray Row 17: Black Black Gray Black Black Black Orange Orange Black Black Green Black Gray Gray Black Green Gray Black Orange Gray Black Orange Black Row 18: Gray Black Black Gray Green Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Row 19: Black Gray Black Black Black Black Black Gray Black Black Orange Gray Gray Black Orange Black Orange Gray Black Black Black Black Gray Row 20: Black Black Black Black Orange Gray Black Black Black Black Black Black Gray Gray Black Black Green Gray Gray Gray Black Gray Black Row 21: Black Green Black Black Gray Black Gray Black Green Gray Orange Gray Black Black Orange Black Black Black Gray Gray Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Gray Black Orange Gray Orange Black Gray Row 23: Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Gray Orange Black Green Black Black Row 24: Black Gray Black Black Black Black Green Orange Black Gray Black Green Black Gray Gray Orange Black Black Black Gray Black Gray Black Output: Row 1: Black Black Black Black Gray Gray Black Gray Green Black Black Black Black Gray Orange Gray Orange Black Black Black Black Black Black Row 2: Black Gray Black Black Black Green Black Black Gray Black Black Black Black Black Black Black Gray Gray Gray Black Black Gray Black Row 3: Black Green Black Black Black Black Black Black Gray Black Black Black Black Gray Black Blue Black Black Black Blue Black Orange Black Row 4: Black Black Black Black Green Gray Black Black Gray Gray Orange Black Gray Orange Black Black Orange Gray Green Black Black Gray Black Row 5: Black Blue Black Black Black Black Gray Gray Orange Black Black Black Gray Orange Black Black Green Gray Black Black Blue Black Blue Row 6: Black Black Blue Black Black Black Black Gray Black Gray Black Orange Black Black Black Blue Black Green Gray Black Black Black Black Row 7: Black Black Black Blue Black Green Gray Black Gray Green Black Gray Black Black Black Black Orange Orange Gray Orange Gray Black Black Row 8: Black Black Black Black Gray Gray Black Gray Black Black Black Gray Black Blue Black Black Black Orange Black Gray Black Blue Black Row 9: Green Black Gray Gray Black Gray Black Gray Black Green Gray Gray Black Black Blue Black Black Black Blue Black Blue Black Black Row 10: Gray Gray Gray Gray Green Black Green Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Green Black Black Gray Orange Black Black Black Orange Orange Black Black Black Black Blue Black Black Black Black Black Blue Row 12: Orange Black Black Blue Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Blue Black Black Gray Black Row 13: Orange Black Black Black Green Orange Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Gray Black Row 14: Black Blue Black Black Black Gray Black Orange Black Black Black Black Black Gray Gray Black Black Blue Black Black Black Black Black Row 15: Blue Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Green Black Black Black Gray Row 16: Black Black Orange Black Black Black Black Black Black Orange Gray Black Black Black Gray Green Black Black Gray Black Black Black Gray Row 17: Black Black Gray Black Black Black Orange Orange Black Black Green Black Gray Gray Black Green Gray Black Orange Gray Black Blue Black Row 18: Blue Black Black Gray Green Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Blue Black Black Row 19: Black Blue Black Black Black Black Black Blue Black Black Orange Gray Gray Black Orange Black Orange Gray Black Black Black Black Blue Row 20: Black Black Black Black Orange Gray Black Black Black Black Black Black Gray Gray Black Black Green Gray Gray Gray Black Blue Black Row 21: Black Blue Black Black Gray Black Blue Black Green Gray Orange Gray Black Black Orange Black Black Black Gray Gray Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Blue Black Orange Gray Orange Black Blue Row 23: Black Black Blue Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Gray Orange Black Green Black Black Row 24: Black Blue Black Black Black Black Green Orange Black Blue Black Blue Black Gray Gray Orange Black Black Black Blue Black Blue Black Here is the input grid for the test example: Input: Row 1: 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 Black Row 2: Black Red Black Black Red Black Black Red Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Red Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red Black Red Black Black Black Black Black Black Black Row 4: Red Black Black Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red Red Black Black Black Black Row 5: Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black Row 6: Red Black Black Black Black Black Black Black Red Red Red Black Black Red Black Black Black Red Black Black Black Black Black Black Black Red Black Row 7: Red Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Row 9: Red Red Black Black Red Red Black Black Black Black Black Red Black Black Red Black Black Red Red Black Red Red Black Black Black Black Black Row 10: Red Red Black Black Red Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Red Row 11: Black Black Black Black Red Black Black Black Red Black Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 Black Black Blue Black Black Blue Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Blue Black Red Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red Red Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Red Red Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Blue Black Red Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Red Black Black Blue Black Black Red Red Black Red Red Black Black Black Black Black Red Red Black Black Red Black Blue Black Black Black Black Red Black Black Black Black Blue Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Red Black Black Black Blue Black Red Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Output: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Row 13: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Example 2 Input: Row 1: Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Pink Black Black Black Pink Row 2: Black Black Black Black Black Black Black Pink Pink Black Black Pink Black Black Black Pink Black Pink Black Row 3: Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Black Row 4: Black Pink Pink Black Pink Black Pink Black Pink Black Pink Black Black Black Black Pink Black Pink Black Row 5: Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Row 6: Pink Black Pink Pink Black Black Pink Black Black Black Black Pink Black Pink Black Black Black Pink Black Row 7: Black Pink Black Black Black Pink Black Black Black Pink Black Black Black Black Pink Black Black Black Black Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black Black Black Black Pink Row 9: Pink Pink Pink Black Black Black Black Pink Pink Black Pink Black Pink Pink Pink Black Pink Black Black Row 10: Black Black Black Black Pink Black Pink Pink Black Black Black Black Black Black Pink Black Black Pink Black Row 11: Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Pink Row 12: Black Black Pink Black Pink Black Pink Black Black Pink Black Black Pink Black Pink Black Pink Black Pink Row 13: Black Pink Pink Pink Black Black Black Pink Pink Black Black Pink Pink Pink Black Pink Black Black Pink Row 14: Black Black Black Black Pink Black Black Black Pink Black Black Black Pink Black Pink Black Pink Black Pink Row 15: Pink Black Pink Black Pink Black Black Black Black Black Pink Pink Black Black Black Pink Black Pink Pink Row 16: Black Black Black Black Pink Black Black Pink Black Black Black Pink Pink Black Black Pink Black Black Pink Row 17: Black Pink Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Row 18: Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Black Black Black Black Pink Black Black Row 19: Pink Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Black Row 20: Pink Pink Black Black Black Black Black Pink Pink Pink Black Pink Black Black Black Black Black Pink Black Row 21: Black Pink Black Pink Black Black Black Pink Black Pink Pink Pink Black Black Pink Pink Black Black Black Row 22: Black Black Black Black Black Pink Black Pink Black Pink Black Black Pink Black Pink Black Black Black Pink Row 23: Black Pink Black Pink Pink Black Pink Pink Black Pink Black Black Black Pink Black Black Black Pink Black Row 24: Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Pink Black Pink Pink Black Pink Black Row 25: Pink Pink Black Black Black Black Pink Black Pink Black Pink Black Black Black Pink Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Pink Black Black Black Pink Row 2: Black Black Black Black Black Black Black Purple Purple Black Black Purple Black Black Black Pink Black Purple Black Row 3: Pink Black Black Pink Black Black Purple Purple Purple Purple Black Purple Purple Black Pink Black Purple Purple Black Row 4: Black Purple Purple Black Pink Black Purple Black Purple Black Pink Black Black Black Black Purple Black Purple Black Row 5: Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black Row 6: Purple Black Purple Purple Black Black Pink Black Black Black Black Purple Black Pink Black Black Black Pink Black Row 7: Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Black Pink Black Black Black Black Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black Pink Row 9: Purple Purple Purple Black Black Black Black Purple Purple Black Purple Black Purple Purple Purple Black Pink Black Black Row 10: Black Black Black Black Pink Black Purple Purple Black Black Black Black Black Black Purple Black Black Pink Black Row 11: Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Row 12: Black Black Purple Black Pink Black Pink Black Black Pink Black Black Purple Black Pink Black Pink Black Purple Row 13: Black Purple Purple Purple Black Black Black Purple Purple Black Black Purple Purple Purple Black Pink Black Black Purple Row 14: Black Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Pink Black Pink Black Purple Row 15: Pink Black Pink Black Purple Black Black Black Black Black Purple Purple Black Black Black Purple Black Purple Purple Row 16: Black Black Black Black Purple Black Black Pink Black Black Black Purple Purple Black Black Purple Black Black Purple Row 17: Black Purple Black Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Black Purple Row 18: Purple Purple Black Black Purple Purple Purple Black Black Black Purple Purple Black Black Black Black Purple Black Black Row 19: Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black Pink Black Black Black Row 20: Purple Purple Black Black Black Black Black Purple Purple Purple Black Purple Black Black Black Black Black Pink Black Row 21: Black Purple Black Pink Black Black Black Purple Black Purple Purple Purple Black Black Purple Purple Black Black Black Row 22: Black Black Black Black Black Pink Black Purple Black Purple Black Black Pink Black Purple Black Black Black Pink Row 23: Black Purple Black Purple Purple Black Purple Purple Black Purple Black Black Black Pink Black Black Black Purple Black Row 24: Black Purple Purple Purple Purple Purple Black Purple Black Black Purple Black Pink Black Purple Purple Black Purple Black Row 25: Purple Purple Black Black Black Black Pink Black Pink Black Purple Black Black Black Purple Black Black Black Black Example 3 Input: Row 1: Green Black Black Green Green Black Green Black Green Green Black Green Green Green Green Black Black Black Black Black Green Green Green Black Green Row 2: Black Black Black Green Green Green Black Black Black Black Black Black Green Black Black Black Green Black Green Black Black Green Green Black Black Row 3: Black Black Black Green Black Black Green Black Green Green Green Black Black Black Green Black Black Green Black Green Green Black Green Green Black Row 4: Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Black Green Black Black Black Black Black Green Black Row 5: Green Green Green Black Green Black Green Black Green Green Green Black Green Green Black Black Black Black Black Green Green Green Green Green Green Row 6: Black Green Black Green Black Black Black Green Green Green Green Green Green Green Green Black Green Green Green Black Green Green Green Green Black Row 7: Black Black Green Green Green Green Black Black Green Green Black Black Black Black Green Green Green Black Black Green Green Black Green Black Black Row 8: Black Black Black Black Green Black Green Green Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Row 9: Black Black Black Black Green Black Green Green Green Black Black Green Black Green Green Black Black Black Green Green Black Black Black Green Green Row 10: Black Green Black Black Black Black Black Black Black Green Green Black Green Green Black Green Black Green Black Green Black Green Green Green Black Row 11: Black Black Black Black Green Green Black Black Black Black Green Green Black Green Black Green Green Black Green Green Green Black Green Green Black Row 12: Green Black Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green Green Black Black Green Black Black Black Black Row 13: Green Black Green Green Green Black Black Black Green Green Black Black Black Black Green Black Black Black Black Black Green Green Green Green Black Row 14: Green Green Black Black Black Black Black Green Green Black Black Black Green Green Green Black Black Green Black Green Green Black Black Black Green Row 15: Green Green Green Green Black Black Green Green Green Green Green Green Green Black Black Green Black Green Green Green Black Green Black Green Green Row 16: Green Black Black Black Black Green Green Green Green Black Green Black Green Green Black Green Green Green Green Black Green Black Black Black Green Row 17: Green Green Black Green Green Black Black Green Black Black Green Black Black Green Green Green Green Green Black Green Black Green Green Green Black Row 18: Black Green Black Black Black Green Black Green Green Black Black Green Black Black Green Black Black Black Green Green Black Black Green Green Green Row 19: Black Black Black Green Black Green Black Black Black Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green Green Row 20: Black Black Green Green Black Green Green Black Green Black Black Black Black Black Green Green Black Green Green Green Black Black Green Black Green Row 21: Black Green Black Black Black Green Green Green Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Green Green Row 22: Black Black Green Black Black Green Green Black Green Black Green Green Black Black Green Green Black Green Black Green Green Black Green Green Black Row 23: Green Green Black Green Green Green Green Black Black Green Green Black Black Black Green Black Black Green Black Black Black Black Green Black Green Row 24: Black Green Green Green Black Green Green Black Black Green Green Green Green Black Green Green Black Green Black Green Green Green Black Green Green Row 25: Green Green Black Black Green Green Black Green Green Black Black Green Black Green Black Black Green Green Green Green Green Green Black Green Black Row 26: Black Green Black Black Green Black Black Green Black Black Green Black Green Green Green Black Black Black Green Green Green Green Green Black Green Row 27: Green Green Black Green Black Black Black Black Green Green Black Green Black Black Green Black Black Black Green Black Green Black Green Black Black Row 28: Green Black Green Green Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black Black Black Green Black Black Green Output: Row 1: Green Black Black Purple Purple Black Green Black Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Green Row 2: Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Black Black Black Green Black Green Black Black Purple Purple Black Black Row 3: Black Black Black Purple Black Black Purple Black Purple Purple Purple Black Black Black Purple Black Black Purple Black Purple Purple Black Purple Purple Black Row 4: Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Black Purple Black Black Black Black Black Purple Black Row 5: Purple Purple Purple Black Green Black Purple Black Purple Purple Purple Black Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Row 6: Black Purple Black Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Black Row 7: Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Purple Purple Purple Black Black Purple Purple Black Purple Black Black Row 8: Black Black Black Black Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Row 9: Black Black Black Black Purple Black Purple Purple Purple Black Black Green Black Purple Purple Black Black Black Purple Purple Black Black Black Purple Purple Row 10: Black Green Black Black Black Black Black Black Black Purple Purple Black Purple Purple Black Purple Black Green Black Purple Black Purple Purple Purple Black Row 11: Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Purple Black Purple Purple Black Purple Purple Purple Black Purple Purple Black Row 12: Purple Black Black Purple Purple Black Black Green Black Black Purple Purple Black Purple Black Purple Purple Purple Black Black Purple Black Black Black Black Row 13: Purple Black Purple Purple Purple Black Black Black Purple Purple Black Black Black Black Purple Black Black Black Black Black Purple Purple Purple Purple Black Row 14: Purple Purple Black Black Black Black Black Purple Purple Black Black Black Purple Purple Purple Black Black Purple Black Purple Purple Black Black Black Purple Row 15: Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Black Green Black Purple Purple Row 16: Purple Black Black Black Black Purple Purple Purple Purple Black Purple Black Purple Purple Black Purple Purple Purple Purple Black Green Black Black Black Purple Row 17: Purple Purple Black Purple Purple Black Black Purple Black Black Purple Black Black Purple Purple Purple Purple Purple Black Purple Black Purple Purple Purple Black Row 18: Black Purple Black Black Black Purple Black Purple Purple Black Black Purple Black Black Purple Black Black Black Purple Purple Black Black Purple Purple Purple Row 19: Black Black Black Purple Black Purple Black Black Black Black Purple Purple Black Black Purple Black Black Purple Purple Black Green Black Purple Purple Purple Row 20: Black Black Purple Purple Black Purple Purple Black Green Black Black Black Black Black Purple Purple Black Purple Purple Purple Black Black Purple Black Purple Row 21: Black Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Green Black Purple Purple Row 22: Black Black Green Black Black Purple Purple Black Green Black Purple Purple Black Black Purple Purple Black Purple Black Purple Purple Black Purple Purple Black Row 23: Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Purple Black Black Purple Black Black Black Black Purple Black Purple Row 24: Black Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple Black Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Row 25: Purple Purple Black Black Purple Purple Black Purple Purple Black Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Black Row 26: Black Purple Black Black Purple Black Black Purple Black Black Green Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Green Row 27: Purple Purple Black Purple Black Black Black Black Purple Purple Black Purple Black Black Purple Black Black Black Purple Black Purple Black Purple Black Black Row 28: Purple Black Purple Purple Black Black Purple Purple Black Black Black Purple Black Black Black Purple Purple Black Black Black Black Green Black Black Green Here is the input grid for the test example: Input: Row 1: Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Black Brown Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Row 2: Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Black Brown Brown Brown Black Black Black Black Brown Black Brown Row 3: Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Row 4: Brown Black Brown Brown Black Black Black Brown Brown Brown Brown Black Black Black Brown Brown Black Brown Black Black Brown Brown Brown Black Black Brown Black Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Brown Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black Black Black Black Purple Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Black Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Purple Purple Black Purple Black Black Purple Purple Purple Black Black Purple Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: 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 Gray Gray Gray Row 2: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 3: 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 Gray Gray Gray Row 4: Orange Purple Yellow Gray Gray Blue Purple Purple Orange Purple Blue Yellow Purple Black Purple Purple Yellow Yellow Purple Purple Yellow Purple Yellow Gray Yellow Purple Blue Orange Purple Purple Row 5: Black Orange Gray Blue Black Yellow Purple Gray Purple Purple Black Orange Gray Blue Blue Black Black Purple Gray Black Black Purple Black Black Yellow Black Black Black Gray Black Row 6: Blue Yellow Gray Gray Yellow Yellow Yellow Purple Yellow Yellow Gray Orange Black Orange Yellow Yellow Black Orange Yellow Gray Orange Yellow Yellow Orange Yellow Yellow Blue Yellow Black Black Row 7: 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 Gray Gray Gray Row 8: 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 Orange Orange Orange Row 9: Yellow Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Gray Yellow Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Gray Row 10: 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 Gray Gray Gray Row 11: 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 Orange Orange Orange Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Orange Row 14: Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 15: Gray Black Orange Black Black Purple Yellow Orange Yellow Gray Black Purple Gray Gray Blue Orange Orange Orange Blue Orange Orange Orange Yellow Orange Blue Yellow Yellow Purple Orange Blue Row 16: 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 Orange Orange Orange Row 17: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray Blue Gray Gray Gray Row 18: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Orange Black Purple Blue Black Blue Blue Blue Yellow Orange Purple Orange Gray Orange Gray Gray Blue Blue Black Blue Blue Blue Gray Orange Purple Blue Blue Orange Blue Purple Output: Row 1: 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 Gray Gray Gray Row 2: 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 Gray Gray Gray Row 3: 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 Gray Gray Gray Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: 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 Gray Gray Gray Row 8: 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 Gray Gray Gray Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: 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 Gray Gray Gray Row 11: 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 Gray Gray Gray Row 12: 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 Gray Gray Gray Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: 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 Gray Gray Gray Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 18: 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 Gray Gray Gray Row 19: 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 Gray Gray Gray Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Example 2 Input: Row 1: Blue Blue Blue Row 2: Green Brown Green Row 3: Yellow Yellow Black Row 4: Green Pink Pink Row 5: Green Green Green Row 6: Yellow Yellow Yellow Row 7: Brown Blue Brown Row 8: Black Black Black Row 9: Brown Brown Brown Row 10: Purple Purple Blue Row 11: Yellow Yellow Pink Row 12: Pink Pink Pink Row 13: Brown Brown Green Row 14: Green Pink Green Row 15: Yellow Yellow Green Row 16: Black Blue Black Row 17: Yellow Black Yellow Output: Row 1: Gray Gray Gray Row 2: Black Black Black Row 3: Black Black Black Row 4: Black Black Black Row 5: Gray Gray Gray Row 6: Gray Gray Gray Row 7: Black Black Black Row 8: Gray Gray Gray Row 9: Gray Gray Gray Row 10: Black Black Black Row 11: Black Black Black Row 12: Gray Gray Gray Row 13: Black Black Black Row 14: Black Black Black Row 15: Black Black Black Row 16: Black Black Black Row 17: Black Black Black Example 3 Input: Row 1: Black Pink Green Black Purple Black Black Green Black Black Black Black Black Green Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Orange Green Orange Purple Pink Red Purple Black Green Green Purple Red Pink Row 4: Pink Pink Pink Red Pink Pink Pink Pink Green Orange Pink Pink Red Pink Row 5: Black Purple Red Black Pink Purple Black Red Orange Black Green Orange Red Pink Row 6: Black Orange Pink Red Black Black Orange Black Pink Black Black Black Purple Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Row 1: Gray Gray Blue Gray Gray Gray Gray Row 2: Gray Gray Black Yellow Gray Gray Blue Row 3: Yellow Yellow Gray Yellow Yellow Yellow Yellow Row 4: Green Green Green Green Green Green Green Row 5: Gray Gray Gray Gray Blue Gray Gray Row 6: Green Green Green Green Green Green Green Row 7: Black Black Green Black Green Black Black Row 8: Blue Black Green Gray Blue Blue Blue Row 9: Gray Black Black Black Black Gray Black Row 10: Yellow Yellow Yellow Gray Gray Gray Black Row 11: Green Green Green Green Green Green Green Row 12: Gray Green Black Gray Yellow Green Green Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Output: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Example 2 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Output: Row 1: Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Row 2: Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Row 3: Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Row 4: Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Row 5: Purple Blue Blue Blue Purple Blue Blue Blue Purple Blue Row 6: Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Row 7: Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Example 3 Input: Row 1: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 26: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 6: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 9: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 10: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 11: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 12: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 13: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 14: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Row 25: Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Row 26: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Here is the input grid for the test example: Input: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 5: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 6: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 7: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 10: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 12: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 13: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 14: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 16: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 17: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 18: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 19: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 20: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 21: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 22: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 23: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Purple Purple Purple Purple Brown Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Row 2: Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Brown Purple Purple Brown Brown Purple Row 4: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Brown Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Brown Row 5: Brown Brown Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Row 7: Brown Brown Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Row 11: Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Row 12: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Brown Brown Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Brown Brown Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Brown Purple Purple Row 16: Purple Brown Purple Purple Purple Purple Purple Brown Brown Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Brown Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Purple Purple Brown Purple Output: Row 1: Purple Purple Purple Purple Purple Blue Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Row 2: Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Green Purple Purple Red Red Purple Row 4: Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Green Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Green Row 5: Red Red Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Green Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Row 7: Blue Blue Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Green Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Row 11: Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Row 12: Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Row 14: Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Blue Blue Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 15: Blue Blue Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Red Purple Purple Row 16: Purple Blue Purple Purple Purple Purple Purple Blue Blue Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Red Purple Purple Red Purple Example 2 Input: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Orange Orange Yellow Yellow Yellow Yellow Row 4: Yellow Orange Yellow Yellow Yellow Yellow Yellow Row 5: Orange Yellow Orange Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Orange Yellow Orange Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Orange Orange Yellow Yellow Yellow Row 9: Yellow Orange Yellow Orange Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Output: Row 1: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 2: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 3: Yellow Blue Blue Yellow Yellow Yellow Yellow Row 4: Yellow Blue Yellow Yellow Yellow Yellow Yellow Row 5: Green Yellow Red Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Red Yellow Green Yellow Yellow Row 7: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 8: Yellow Yellow Blue Blue Yellow Yellow Yellow Row 9: Yellow Green Yellow Blue Yellow Yellow Yellow Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Example 3 Input: Row 1: Purple Pink Pink Pink Purple Purple Pink Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Row 4: Pink Pink Pink Purple Pink Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Pink Purple Purple Pink Pink Purple Row 7: Purple Purple Pink Purple Purple Pink Purple Purple Pink Purple Purple Row 8: Pink Purple Pink Purple Purple Purple Purple Purple Purple Purple Pink Row 9: Pink Purple Purple Purple Pink Purple Pink Pink Purple Purple Purple Row 10: Pink Purple Purple Purple Pink Pink Purple Purple Pink Purple Pink Row 11: Purple Purple Purple Purple Purple Purple Pink Purple Purple Pink Purple Row 12: Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Pink Row 13: Purple Purple Pink Purple Pink Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Pink Purple Purple Purple Purple Pink Purple Pink Pink Row 15: Purple Pink Purple Pink Pink Purple Purple Pink Pink Purple Purple Row 16: Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Row 17: Purple Pink Purple Purple Pink Purple Purple Purple Pink Pink Purple Row 18: Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple Output: Row 1: Purple Blue Blue Blue Purple Purple Blue Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Green Row 4: Blue Blue Blue Purple Green Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Red Purple Purple Blue Blue Purple Row 7: Purple Purple Red Purple Purple Red Purple Purple Blue Purple Purple Row 8: Blue Purple Red Purple Purple Purple Purple Purple Purple Purple Green Row 9: Blue Purple Purple Purple Blue Purple Red Red Purple Purple Purple Row 10: Blue Purple Purple Purple Blue Blue Purple Purple Green Purple Green Row 11: Purple Purple Purple Purple Purple Purple Green Purple Purple Green Purple Row 12: Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Green Row 13: Purple Purple Blue Purple Green Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Blue Purple Purple Purple Purple Blue Purple Red Red Row 15: Purple Green Purple Red Red Purple Purple Blue Blue Purple Purple Row 16: Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Row 17: Purple Green Purple Purple Green Purple Purple Purple Blue Blue Purple Row 18: Purple Purple Purple Purple Purple Green Purple Purple Purple Blue Purple Here is the input grid for the test example: Input: Row 1: Yellow Yellow Gray Gray Gray Gray Gray Yellow Gray Gray Row 2: Gray Gray Gray Yellow Yellow Gray Yellow Yellow Gray Gray Row 3: Yellow Yellow Gray Gray Yellow Gray Gray Gray Gray Yellow Row 4: Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Yellow Row 5: Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Row 6: Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Yellow Yellow Gray Yellow Yellow Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Gray Yellow Gray Gray Gray Yellow Gray Row 9: Yellow Gray Gray Gray Gray Gray Gray Gray Yellow Gray Row 10: Gray Gray Yellow Gray Gray Yellow Gray Gray Gray Gray Row 11: Yellow Yellow Gray Yellow Gray Gray Yellow Gray Gray Gray Row 12: Yellow Gray Gray Gray Yellow Gray Gray Gray Gray Yellow Row 13: Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Row 14: Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Red Red Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Blue Blue Gray Blue Blue Gray Gray Red Red Gray Gray Blue Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Blue Blue Blue Gray Red Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Red Gray Green Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Green Gray Gray Green Gray Gray Gray Gray Blue Blue Gray Green Gray Gray Green Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray Gray Green Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Example 2 Input: Row 1: Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Blue Blue Row 12: Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Row 14: Blue Blue Blue Blue Blue Blue Blue Row 15: Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Blue Blue Purple Row 17: Blue Blue Blue Blue Red Blue Blue Output: Row 1: Blue Blue Blue Blue Blue Blue Blue Row 2: Blue Blue Blue Blue Blue Blue Blue Row 3: Blue Blue Blue Blue Blue Blue Blue Row 4: Blue Blue Blue Blue Blue Blue Blue Row 5: Blue Blue Blue Blue Blue Blue Blue Row 6: Blue Blue Blue Blue Blue Blue Blue Row 7: Blue Blue Blue Blue Blue Blue Blue Row 8: Blue Blue Blue Blue Blue Blue Blue Row 9: Blue Blue Blue Blue Blue Blue Blue Row 10: Blue Blue Blue Blue Blue Blue Blue Row 11: Blue Blue Blue Blue Blue Blue Blue Row 12: Blue Blue Blue Blue Blue Blue Blue Row 13: Blue Blue Blue Blue Blue Blue Blue Row 14: Blue Blue Blue Blue Blue Blue Blue Row 15: Blue Blue Blue Blue Blue Blue Blue Row 16: Blue Blue Blue Blue Blue Blue Purple Row 17: Blue Blue Blue Blue Red Yellow Yellow Example 3 Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green Row 7: 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 Output: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Row 6: Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Green Green Row 7: 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 Here is the input grid for the test example: Input: Row 1: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 2: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 3: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 4: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 5: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 6: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 7: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 8: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 9: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Orange Orange Orange Orange Orange Row 10: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 11: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	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 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 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 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 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Orange Orange Green Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 2: Yellow Orange Yellow Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 3: Brown Red Brown Pink Gray Blue Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Row 4: Brown Brown Red Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 5: Brown Orange Yellow Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 8: Gray Gray Gray Pink Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Row 9: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 12: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 13: Gray Gray Gray Pink Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Gray Gray Row 14: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 15: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 16: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 17: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 18: Gray Gray Gray Pink Gray Blue Gray Gray Blue Gray Gray Gray Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Row 19: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 20: Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Output: Row 1: Orange Orange Green Pink Orange Orange Green Gray Gray Gray Orange Orange Green Gray Gray Gray Orange Orange Green Orange Orange Green Orange Orange Green Row 2: Yellow Orange Yellow Pink Yellow Orange Yellow Gray Gray Gray Yellow Orange Yellow Gray Gray Gray Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Row 3: Brown Red Brown Pink Brown Red Brown Gray Gray Gray Brown Red Brown Gray Gray Gray Brown Red Brown Brown Red Brown Brown Red Brown Row 4: Brown Brown Red Pink Brown Brown Red Gray Gray Gray Brown Brown Red Gray Gray Gray Brown Brown Red Brown Brown Red Brown Brown Red Row 5: Brown Orange Yellow Pink Brown Orange Yellow Gray Gray Gray Brown Orange Yellow Gray Gray Gray Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Row 6: Gray Gray Gray Pink Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Row 7: Gray Gray Gray Pink Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Row 8: Gray Gray Gray Pink Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Row 9: Gray Gray Gray Pink Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Row 10: Gray Gray Gray Pink Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Row 11: Gray Gray Gray Pink Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Gray Gray Gray Row 12: Gray Gray Gray Pink Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Gray Gray Gray Row 13: Gray Gray Gray Pink Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Gray Gray Gray Row 14: Gray Gray Gray Pink Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Gray Gray Gray Row 15: Gray Gray Gray Pink Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Gray Gray Gray Row 16: Gray Gray Gray Pink Orange Orange Green Orange Orange Green Gray Gray Gray Orange Orange Green Orange Orange Green Orange Orange Green Orange Orange Green Row 17: Gray Gray Gray Pink Yellow Orange Yellow Yellow Orange Yellow Gray Gray Gray Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Orange Yellow Row 18: Gray Gray Gray Pink Brown Red Brown Brown Red Brown Gray Gray Gray Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Brown Row 19: Gray Gray Gray Pink Brown Brown Red Brown Brown Red Gray Gray Gray Brown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Row 20: Gray Gray Gray Pink Brown Orange Yellow Brown Orange Yellow Gray Gray Gray Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Brown Orange Yellow Example 2 Input: Row 1: Red Red Red Red Red Red Red Red Red Red Row 2: Red Red Red Red Red Red Red Red Red Red Row 3: Red Red Red Red Red Red Red Red Red Red Row 4: Red Red Black Red Red Red Red Black Red Red Row 5: Red Red Red Red Red Red Red Red Red Red Row 6: Red Red Red Red Red Red Red Red Red Red Row 7: Red Red Red Red Red Red Red Red Red Red Row 8: Red Red Red Red Red Red Red Red Red Red Row 9: Red Red Red Red Red Red Red Red Red Red Row 10: Red Red Red Red Red Red Red Red Red Red Row 11: Red Red Red Red Red Red Red Red Red Red Row 12: Red Red Red Red Red Red Red Red Red Red Row 13: Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 16: Yellow Brown Brown Orange Brown Red Red Red Red Red Row 17: Brown Yellow Yellow Yellow Orange Red Red Red Red Red Row 18: Orange Brown Orange Brown Brown Red Red Red Red Red Row 19: Yellow Brown Orange Yellow Orange Red Red Red Red Red Row 20: Brown Orange Brown Yellow Brown Red Red Red Red Red Row 21: Yellow Brown Yellow Yellow Orange Red Red Red Red Red Row 22: Yellow Yellow Brown Brown Orange Red Red Red Red Red Output: Row 1: Yellow Brown Brown Orange Brown Yellow Brown Brown Orange Brown Row 2: Brown Yellow Yellow Yellow Orange Brown Yellow Yellow Yellow Orange Row 3: Orange Brown Orange Brown Brown Orange Brown Orange Brown Brown Row 4: Yellow Brown Orange Yellow Orange Yellow Brown Orange Yellow Orange Row 5: Brown Orange Brown Yellow Brown Brown Orange Brown Yellow Brown Row 6: Yellow Brown Yellow Yellow Orange Yellow Brown Yellow Yellow Orange Row 7: Yellow Yellow Brown Brown Orange Yellow Yellow Brown Brown Orange Row 8: Red Red Red Red Red Red Red Red Red Red Row 9: Red Red Red Red Red Red Red Red Red Red Row 10: Red Red Red Red Red Red Red Red Red Red Row 11: Red Red Red Red Red Red Red Red Red Red Row 12: Red Red Red Red Red Red Red Red Red Red Row 13: Red Red Red Red Red Red Red Red Red Red Row 14: Red Red Red Red Red Red Red Red Red Red Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Row 16: Yellow Brown Brown Orange Brown Red Red Red Red Red Row 17: Brown Yellow Yellow Yellow Orange Red Red Red Red Red Row 18: Orange Brown Orange Brown Brown Red Red Red Red Red Row 19: Yellow Brown Orange Yellow Orange Red Red Red Red Red Row 20: Brown Orange Brown Yellow Brown Red Red Red Red Red Row 21: Yellow Brown Yellow Yellow Orange Red Red Red Red Red Row 22: Yellow Yellow Brown Brown Orange Red Red Red Red Red Example 3 Input: Row 1: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 2: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 3: Gray Gray Brown Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 4: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 5: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 6: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 7: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 8: Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 9: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 10: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 11: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Green Pink Blue Purple Green Row 12: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Brown Brown Purple Orange Orange Row 13: Gray Gray Brown Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Red Green Blue Orange Orange Orange Row 14: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Brown Blue Black Pink Pink Row 15: Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Black Pink Blue Green Purple Output: Row 1: Green Pink Blue Purple Green Green Pink Blue Purple Green Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 2: Brown Brown Purple Orange Orange Brown Brown Purple Orange Orange Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 3: Green Blue Orange Orange Orange Green Blue Orange Orange Orange Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 4: Brown Blue Black Pink Pink Brown Blue Black Pink Pink Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 5: Black Pink Blue Green Purple Black Pink Blue Green Purple Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 6: Green Pink Blue Purple Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 7: Brown Brown Purple Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 8: Green Blue Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 9: Brown Blue Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 10: Black Pink Blue Green Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Row 11: Green Pink Blue Purple Green Green Pink Blue Purple Green Gray Gray Gray Gray Gray Red Green Pink Blue Purple Green Row 12: Brown Brown Purple Orange Orange Brown Brown Purple Orange Orange Gray Gray Gray Gray Gray Red Brown Brown Purple Orange Orange Row 13: Green Blue Orange Orange Orange Green Blue Orange Orange Orange Gray Gray Gray Gray Gray Red Green Blue Orange Orange Orange Row 14: Brown Blue Black Pink Pink Brown Blue Black Pink Pink Gray Gray Gray Gray Gray Red Brown Blue Black Pink Pink Row 15: Black Pink Blue Green Purple Black Pink Blue Green Purple Gray Gray Gray Gray Gray Red Black Pink Blue Green Purple Here is the input grid for the test example: Input: Row 1: Red Yellow Yellow Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Red Red Red Brown Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 3: Yellow Yellow Red Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Brown Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 12: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 13: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 14: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Row 15: Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Red Yellow Yellow Brown Purple Purple Purple Purple Purple Purple Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Brown Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Red Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Red Yellow Yellow Purple Purple Purple Red Yellow Yellow Purple Purple Purple Red Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Yellow Yellow Red Purple Purple Purple Yellow Yellow Red Purple Purple Purple Yellow Yellow Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Red Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Red Yellow Yellow Red Yellow Yellow Purple Purple Purple Purple Purple Purple Red Yellow Yellow Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Red Yellow Yellow Red Purple Purple Purple Purple Purple Purple Yellow Yellow Red Purple Purple Purple
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Blue Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Blue Black Black Row 17: Black Black Black Black Black Black Black Blue Black Black Black Row 18: Black Black Black Black Blue Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Blue Black Black Black Black Row 20: Black Black Black Black Black Black Black Blue Black Black Black Row 21: Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Blue Black Black Black Black Black Black Row 16: Black Black Black Black Black Red Black Black Blue Black Black Row 17: Black Black Black Black Black Black Black Blue Black Black Black Row 18: Black Black Black Black Blue Black Black Black Black Black Black Row 19: Black Black Black Red Black Black Blue Black Black Black Black Row 20: Black Black Black Black Black Black Black Blue Black Black Black Row 21: Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Black Black Example 2 Input: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Green Brown Green Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Green Brown Brown Brown Green Green Green Green Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 10: Brown Green Brown Brown Green Green Brown Green Green Green Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 11: Brown Green Green Green Green Green Green Green Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 12: Brown Brown Green Green Brown Green Green Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Row 13: Brown Brown Green Green Green Green Brown Green Green Brown Green Brown Green Brown Green Green Brown Brown Green Brown Brown Brown Brown Row 14: Brown Brown Green Green Green Brown Brown Green Green Green Green Green Green Brown Brown Brown Brown Green Green Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Green Green Green Brown Green Brown Green Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Output: Row 1: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 2: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 3: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Row 4: Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 5: Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Row 6: Brown Green Brown Green Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 7: Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Row 8: Brown Brown Brown Green Brown Brown Brown Green Green Green Green Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Row 9: Brown Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 10: Brown Green Brown Brown Green Green Brown Green Green Green Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 11: Brown Green Green Green Green Green Green Green Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Row 12: Brown Brown Green Green Red Green Green Red Red Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Row 13: Brown Brown Green Green Green Green Red Green Green Brown Green Red Green Brown Green Green Brown Brown Green Brown Brown Brown Brown Row 14: Brown Brown Green Green Green Red Red Green Green Green Green Green Green Brown Brown Brown Brown Green Green Brown Brown Brown Brown Row 15: Brown Brown Brown Brown Red Red Brown Brown Brown Red Green Green Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Row 16: Brown Brown Brown Brown Red Red Brown Brown Red Red Red Red Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Row 17: Brown Brown Brown Brown Brown Brown Brown Brown Red Red Green Red Green Green Green Brown Green Brown Green Brown Brown Brown Brown Row 18: Brown Brown Brown Brown Red Brown Red Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 19: Brown Brown Brown Brown Brown Brown Brown Red Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 20: Brown Brown Brown Brown Red Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 21: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 22: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 23: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Row 24: Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Example 3 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 18: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 21: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Row 23: Black Black Black Black Black Black Black Black Gray Gray Black Black Black Row 24: Black Black Black Black Black Black Black Black Gray Black Gray Black Black Row 25: Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Row 26: Black Black Black Black Black Black Gray Gray Black Gray Gray Black Black Row 27: Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Row 28: Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 18: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 21: Black Black Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Row 23: Black Black Black Black Black Red Red Black Gray Gray Black Black Black Row 24: Black Black Black Black Black Red Red Red Gray Black Gray Black Black Row 25: Black Black Black Black Black Red Black Gray Gray Gray Gray Black Black Row 26: Black Black Black Black Black Black Gray Gray Black Gray Gray Black Black Row 27: Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Row 28: Black Black Black Black Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Yellow Pink Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 17: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 21: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 22: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 23: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 24: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 25: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 26: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Pink Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Pink Pink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: 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 Row 6: 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 Row 7: 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 Row 8: Red Red Red Red Red Red Red Red Red Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Red Red Red Red Red Red Red Red Row 9: 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 Row 10: 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 Row 11: 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 Row 12: 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 Row 13: 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 Row 14: Red Red Red Red Red Red Red Red Red Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Red Red Red Red Red Red Red Red Row 15: 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 Row 16: 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 Row 17: 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 Row 18: 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 Row 19: 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 Row 20: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Red Red Red Red Row 21: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink Red Red Pink Red Pink Red Row 22: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Pink Red Pink Row 23: Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Red Red Row 24: 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 Brown Red Output: Row 1: Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Row 2: Red Pink Pink Pink Pink Red Red Red Red Red Row 3: Red Pink Pink Red Red Pink Red Pink Red Red Row 4: Red Red Red Red Red Pink Pink Red Pink Red Row 5: Red Red Red Red Red Brown Brown Red Red Red Row 6: Red Red Red Red Red Red Red Brown Red Red Row 7: Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Example 2 Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 7: 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 Row 8: 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 Row 9: 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 Row 10: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 11: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 12: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 13: Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Row 14: 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 Row 15: 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 Row 16: 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 Output: Row 1: Pink Yellow Yellow Yellow Pink Row 2: Brown Brown Brown Red Red Row 3: Brown Yellow Yellow Red Red Row 4: Pink Yellow Yellow Yellow Pink Example 3 Input: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Blue Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Blue Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Blue Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Blue Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 14: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Row 18: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Row 19: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 20: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 21: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 22: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 23: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 24: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Yellow Black Black Yellow Row 2: Blue Black Gray Gray Row 3: Blue Blue Black Gray Row 4: Blue Blue Black Gray Row 5: Blue Blue Black Gray Row 6: Yellow Black Black Yellow Here is the input grid for the test example: Input: Row 1: 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 Row 2: 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 Row 3: 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 Row 4: 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 Row 5: 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 Row 6: 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 Row 7: 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 Row 8: 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 Row 9: 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 Row 10: Orange Orange Orange Orange Orange Orange Orange Yellow Red Red Red Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Row 11: 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 Row 12: 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 Row 13: 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 Row 14: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange Orange Row 15: Orange Orange Orange Orange Orange Orange Orange Yellow Brown Brown Brown Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange Orange Row 16: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Orange Row 17: Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Yellow Red Red Red Yellow Orange Red Red Red Orange Orange Orange Red Red Orange Orange Orange Brown Orange Orange Orange Orange Brown Orange Orange Yellow Brown Brown Brown Yellow
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Brown Orange Brown Brown Orange Purple Orange Orange Brown Brown Pink Purple Brown Brown Orange Pink Brown Purple Orange Pink Pink Pink Row 2: Pink Purple Brown Brown Brown Purple Brown Purple Orange Brown Brown Purple Brown Purple Pink Brown Brown Purple Brown Purple Brown Brown Brown Row 3: Orange Brown Purple Brown Purple Brown Brown Orange Purple Brown Purple Orange Orange Orange Purple Brown Purple Orange Brown Pink Purple Brown Purple Row 4: Pink Pink Pink Purple Orange Brown Pink Orange Brown Purple Orange Brown Brown Brown Orange Purple Brown Brown Orange Pink Orange Purple Pink Output: Row 1: Purple Brown Orange Brown Brown Orange Purple Yellow Yellow Yellow Yellow Yellow Purple Brown Brown Orange Pink Brown Purple Orange Pink Pink Pink Row 2: Yellow Purple Brown Brown Brown Purple Brown Purple Yellow Yellow Yellow Purple Brown Purple Pink Brown Brown Purple Yellow Purple Brown Brown Brown Row 3: Yellow Yellow Purple Brown Purple Brown Brown Orange Purple Yellow Purple Orange Orange Orange Purple Brown Purple Yellow Yellow Yellow Purple Brown Purple Row 4: Yellow Yellow Yellow Purple Orange Brown Pink Orange Brown Purple Orange Brown Brown Brown Orange Purple Yellow Yellow Yellow Yellow Yellow Purple Pink Example 2 Input: Row 1: Brown Orange Orange Green Pink Pink Orange Green Blue Gray Brown Gray Red Pink Pink Orange Black Gray Green Black Brown Green Red Green Red Pink Gray Red Row 2: Red Brown Red Green Blue Orange Pink Green Blue Brown Green Brown Orange Red Blue Green Gray Gray Orange Brown Blue Brown Green Black Orange Blue Red Blue Row 3: Orange Pink Brown Green Blue Pink Black Black Brown Pink Black Black Brown Red Pink Gray Black Black Brown Red Pink Pink Brown Red Blue Green Black Green Row 4: Green Black Green Brown Gray Orange Gray Brown Pink Gray Red Red Gray Brown Black Blue Black Brown Blue Orange Red Orange Pink Brown Green Black Red Brown Row 5: Gray Gray Red Green Brown Orange Brown Blue Blue Red Orange Green Green Green Brown Gray Brown Blue Blue Green Red Black Pink Pink Brown Green Brown Blue Row 6: Gray Gray Black Orange Green Brown Red Orange Blue Blue Orange Blue Red Blue Red Brown Gray Gray Black Black Orange Blue Blue Pink Pink Brown Orange Green Output: Row 1: Brown Orange Orange Green Pink Pink Orange Green Blue Gray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Green Red Green Red Pink Gray Red Row 2: Yellow Brown Red Green Blue Orange Pink Green Blue Brown Green Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Blue Brown Green Black Orange Blue Red Blue Row 3: Yellow Yellow Brown Green Blue Pink Black Black Brown Pink Black Black Brown Yellow Yellow Yellow Yellow Yellow Brown Red Pink Pink Brown Red Blue Green Black Green Row 4: Yellow Yellow Yellow Brown Gray Orange Gray Brown Pink Gray Red Red Gray Brown Yellow Yellow Yellow Brown Blue Orange Red Orange Pink Brown Green Black Red Brown Row 5: Yellow Yellow Yellow Yellow Brown Orange Brown Blue Blue Red Orange Green Green Green Brown Yellow Brown Blue Blue Green Red Black Pink Pink Brown Green Brown Yellow Row 6: Yellow Yellow Yellow Yellow Yellow Brown Red Orange Blue Blue Orange Blue Red Blue Red Brown Gray Gray Black Black Orange Blue Blue Pink Pink Brown Yellow Yellow Example 3 Input: Row 1: Pink Blue Blue Brown Blue Blue Blue Brown Row 2: Purple Pink Blue Blue Blue Blue Blue Purple Row 3: Blue Blue Pink Purple Blue Blue Blue Blue Row 4: Blue Blue Blue Pink Purple Blue Blue Pink Row 5: Blue Blue Purple Blue Pink Blue Pink Blue Row 6: Blue Blue Blue Blue Blue Pink Blue Blue Output: Row 1: Pink Blue Blue Brown Blue Blue Blue Brown Row 2: Yellow Pink Blue Blue Blue Blue Blue Purple Row 3: Yellow Yellow Pink Purple Blue Blue Blue Blue Row 4: Yellow Yellow Yellow Pink Purple Blue Blue Pink Row 5: Yellow Yellow Yellow Yellow Pink Blue Pink Blue Row 6: Yellow Yellow Yellow Yellow Yellow Pink Blue Blue Here is the input grid for the test example: Input: Row 1: Red Green Blue Orange Brown Blue Gray Brown Orange Black Green Green Red Green Brown Green Black Blue Row 2: Brown Red Black Brown Black Orange Green Gray Gray Orange Brown Red Brown Red Orange Pink Brown Gray Row 3: Brown Gray Red Green Orange Brown Gray Orange Blue Black Red Black Blue Blue Red Pink Brown Black Row 4: Blue Gray Blue Red Gray Black Gray Orange Gray Red Brown Brown Blue Pink Blue Red Orange Gray Row 5: Green Gray Gray Black Red Blue Black Black Red Brown Brown Black Brown Orange Black Blue Red Brown Row 6: Brown Blue Black Green Black Red Green Red Black Blue Green Gray Black Orange Orange Blue Blue Red Row 7: Gray Pink Green Blue Brown Black Red Green Green Black Orange Green Pink Green Blue Brown Green Brown Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Red Green Blue Orange Brown Blue Gray Brown Orange Black Green Green Red Yellow Yellow Yellow Yellow Yellow Yellow Red Black Brown Black Orange Green Gray Gray Orange Brown Red Brown Red Yellow Yellow Yellow Yellow Yellow Yellow Red Green Orange Brown Gray Orange Blue Black Red Black Blue Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Red Gray Black Gray Orange Gray Red Brown Brown Blue Pink Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Red Blue Black Black Red Brown Brown Black Brown Orange Black Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Red Green Red Black Blue Green Gray Black Orange Orange Blue Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Red Green Green Black Orange Green Pink Green Blue Brown Green Brown
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Green Green Yellow Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Brown Yellow Green Row 2: Green Green Green Green Green Brown Green Green Green Green Green Green Green Yellow Green Yellow Green Green Brown Green Row 3: Green Yellow Green Green Green Green Green Green Yellow Brown Green Green Green Green Green Green Brown Green Green Green Row 4: Brown Green Green Green Green Green Brown Green Yellow Green Green Green Green Green Brown Yellow Green Brown Yellow Green Row 5: Green Green Green Green Green Green Green Green Green Green Green Green Brown Green Green Green Green Green Green Green Row 6: Green Green Green Yellow Green Green Brown Brown Brown Green Green Green Green Green Green Brown Green Green Orange Green Row 7: Yellow Brown Green Green Green Yellow Yellow Green Green Green Green Green Brown Green Green Green Green Green Green Brown Row 8: Green Green Green Green Green Green Green Brown Yellow Green Green Green Green Green Green Green Green Green Yellow Green Row 9: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 10: Yellow Green Green Green Green Yellow Green Green Green Green Green Brown Brown Yellow Yellow Green Green Yellow Green Green Row 11: Green Green Green Brown Green Brown Green Brown Green Green Green Green Green Green Green Green Green Yellow Green Green Row 12: Green Green Green Green Green Brown Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Row 13: Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Yellow Green Row 14: Green Green Brown Green Green Green Green Brown Green Green Green Green Brown Green Green Green Green Green Yellow Green Row 15: Yellow Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Brown Green Green Green Row 16: Brown Yellow Green Brown Green Green Yellow Green Green Green Green Yellow Yellow Yellow Green Green Brown Green Green Green Row 17: Green Green Green Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 18: Green Green Green Green Brown Green Green Brown Green Yellow Green Green Green Green Green Green Green Green Green Green Row 19: Green Brown Brown Green Green Green Green Yellow Green Green Green Yellow Green Green Green Green Green Green Green Green Row 20: Yellow Green Green Brown Green Green Green Green Green Green Brown Yellow Green Green Green Green Green Green Green Green Row 21: Green Green Green Yellow Brown Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Brown Row 22: Green Yellow Green Green Green Green Yellow Green Yellow Green Green Brown Green Green Green Green Green Green Yellow Green Output: Row 1: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 2: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 3: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 4: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 5: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Row 6: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Orange Red Row 7: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Row 8: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 9: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 10: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 11: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 12: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 13: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 14: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 15: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 16: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 17: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 18: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 19: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 20: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 21: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Row 22: Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Example 2 Input: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Row 4: Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Row 10: Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Orange Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Orange Output: Row 1: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Black Red Pink Pink Row 4: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Row 5: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 7: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 9: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 11: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 13: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 15: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Example 3 Input: Row 1: Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Pink Yellow Black Black Black Black Black Black Green Row 5: Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Brown Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Pink Black Black Black Row 7: Black Brown Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Brown Black Purple Black Black Black Black Brown Black Black Purple Pink Pink Black Purple Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Yellow Black Black Black Black Black Black Green Row 11: Black Green Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Row 12: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Pink Black Black Black Black Black Brown Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Orange Black Black Black Pink Black Black Black Black Black Brown Purple Row 14: Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Pink Black Black Black Black Brown Brown Black Black Row 15: Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Green Black Black Black Row 16: Black Black Black Black Black Black Black Pink Black Black Brown Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Green Pink Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Output: Row 1: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 2: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 3: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 4: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 5: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 6: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 7: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 8: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 9: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 10: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 11: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 12: 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 Black Row 13: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Orange Red Black Black Black Black Black Black Black Black Black Black Row 14: 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 Black Row 15: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 16: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Row 17: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Row 1: Black Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Purple Pink Pink Pink Pink Pink Pink Row 2: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Purple Pink Pink Pink Pink Green Pink Pink Pink Row 3: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Green Pink Pink Row 4: Green Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Purple Pink Pink Pink Pink Row 5: Pink Purple Pink Purple Pink Black Black Pink Pink Orange Pink Pink Pink Black Pink Pink Purple Orange Pink Pink Pink Row 6: Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Orange Row 7: Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 8: Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Green Purple Black Pink Row 9: Purple Pink Pink Pink Black Green Green Green Pink Green Green Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 10: Pink Black Pink Pink Pink Pink Pink Purple Orange Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Green Row 11: Green Pink Pink Pink Pink Purple Pink Orange Pink Pink Pink Purple Pink Pink Pink Pink Purple Black Pink Pink Pink Row 12: Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Row 13: Orange Pink Pink Pink Pink Green Pink Orange Pink Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 14: Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Red Pink Green Pink Row 15: Pink Purple Purple Pink Pink Pink Pink Black Black Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Row 16: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Green Pink Pink Row 17: Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Row 18: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 19: Pink Pink Green Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 20: Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Black Pink Pink Pink Row 21: Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Green Pink Purple Purple Pink Pink Pink Row 22: Pink Pink Pink Pink Purple Orange Pink Pink Pink Pink Pink Pink Pink Pink Black Green Pink Pink Pink Pink Pink Row 23: Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Row 24: Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Purple Pink Green Pink Pink Pink Pink Pink Green Row 25: Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Purple Pink Pink Row 26: Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Purple Pink Pink Pink Green Orange Pink Pink Pink Pink Row 27: Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Green Pink Black Black Green Pink Green Pink Purple Row 28: Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Purple Pink Pink Pink Pink Pink Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
You will be given multiple input-output grid pairs as reference examples. Each grid is a 2D array represented as a string, where cells (colors) are separated by spaces and rows by newlines. The output grid is derived from the input grid by applying a consistent transformation rule. Your task: 1. Identify the underlying transformation rule that maps input grids to their corresponding output grids. 2. Generalize the rule to apply it to new test inputs. 3. Produce the correct output grid for each given test input. Guidelines: - Analyze patterns systematically. - Explain the transformation logic step-by-step before generating the final output. Example 1 Input: Row 1: Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Brown Row 3: Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Brown Row 12: Purple Purple Brown Purple Purple Row 13: Brown Purple Purple Purple Purple Row 14: Purple Purple Brown Purple Purple Row 15: Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Brown Purple Row 17: Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Row 19: Purple Purple Purple Purple Purple Row 20: Purple Purple Purple Purple Purple Row 21: Purple Purple Purple Purple Purple Row 22: Brown Purple Purple Purple Purple Row 23: Purple Purple Purple Purple Purple Row 24: Purple Purple Purple Purple Purple Row 25: Purple Purple Purple Purple Purple Row 26: Purple Purple Purple Purple Purple Row 27: Purple Purple Purple Purple Purple Row 28: Purple Purple Purple Purple Purple Row 29: Purple Purple Purple Purple Purple Output: Row 1: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 2: Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Row 3: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 4: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 6: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 7: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 8: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 9: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 10: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 11: Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Row 12: Purple Purple Brown Purple Purple Purple Purple Brown Purple Purple Row 13: Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Row 14: Purple Purple Brown Purple Purple Purple Purple Brown Purple Purple Row 15: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 16: Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Row 17: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 18: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 19: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 20: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 21: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 22: Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Row 23: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 24: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 25: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 26: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 27: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 28: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Row 29: Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Example 2 Input: Row 1: Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Purple Row 2: Brown Brown Purple Purple Purple Brown Purple Brown Purple Purple Purple Row 3: Purple Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Row 4: Brown Purple Brown Purple Purple Purple Purple Brown Brown Purple Brown Row 5: Purple Brown Brown Purple Purple Brown Purple Purple Brown Purple Brown Row 6: Purple Brown Purple Brown Brown Purple Brown Purple Purple Purple Brown Row 7: Purple Brown Purple Purple Purple Brown Brown Purple Brown Brown Purple Row 8: Brown Brown Purple Brown Brown Brown Purple Purple Purple Brown Brown Row 9: Purple Brown Purple Purple Brown Purple Brown Brown Purple Purple Purple Row 10: Brown Purple Purple Brown Brown Brown Purple Brown Purple Brown Brown Row 11: Brown Purple Brown Purple Brown Purple Purple Purple Purple Brown Purple Row 12: Brown Purple Brown Brown Purple Brown Brown Brown Purple Purple Purple Row 13: Brown Purple Purple Brown Purple Purple Purple Purple Purple Brown Purple Row 14: Brown Purple Purple Brown Purple Purple Brown Brown Brown Purple Purple Row 15: Brown Brown Brown Purple Brown Brown Purple Purple Purple Brown Brown Row 16: Purple Brown Brown Brown Purple Purple Brown Brown Brown Purple Brown Output: Row 1: Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Purple Purple Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Row 2: Brown Brown Purple Purple Purple Brown Purple Brown Purple Purple Purple Purple Purple Purple Brown Purple Brown Purple Purple Purple Brown Brown Row 3: Purple Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Row 4: Brown Purple Brown Purple Purple Purple Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Purple Purple Purple Brown Purple Brown Row 5: Purple Brown Brown Purple Purple Brown Purple Purple Brown Purple Brown Brown Purple Brown Purple Purple Brown Purple Purple Brown Brown Purple Row 6: Purple Brown Purple Brown Brown Purple Brown Purple Purple Purple Brown Brown Purple Purple Purple Brown Purple Brown Brown Purple Brown Purple Row 7: Purple Brown Purple Purple Purple Brown Brown Purple Brown Brown Purple Purple Brown Brown Purple Brown Brown Purple Purple Purple Brown Purple Row 8: Brown Brown Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Brown Brown Row 9: Purple Brown Purple Purple Brown Purple Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Purple Brown Purple Purple Brown Purple Row 10: Brown Purple Purple Brown Brown Brown Purple Brown Purple Brown Brown Brown Brown Purple Brown Purple Brown Brown Brown Purple Purple Brown Row 11: Brown Purple Brown Purple Brown Purple Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple Brown Purple Brown Purple Brown Row 12: Brown Purple Brown Brown Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Brown Brown Purple Brown Row 13: Brown Purple Purple Brown Purple Purple Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple Purple Brown Purple Purple Brown Row 14: Brown Purple Purple Brown Purple Purple Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Purple Purple Brown Purple Purple Brown Row 15: Brown Brown Brown Purple Brown Brown Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Brown Brown Purple Brown Brown Brown Row 16: Purple Brown Brown Brown Purple Purple Brown Brown Brown Purple Brown Brown Purple Brown Brown Brown Purple Purple Brown Brown Brown Purple Example 3 Input: Row 1: Green Orange Red Row 2: Black Blue Yellow Output: Row 1: Green Orange Red Red Orange Green Row 2: Black Blue Yellow Yellow Blue Black Here is the input grid for the test example: Input: Row 1: Purple Purple Green Yellow Purple Purple Purple Blue Row 2: Purple Red Orange Purple Gray Purple Purple Gray Row 3: Orange Purple Purple Yellow Purple Purple Gray Purple Row 4: Blue Purple Gray Purple Purple Purple Purple Purple Row 5: Purple Purple Purple Purple Purple Green Gray Green Row 6: Purple Green Yellow Gray Orange Purple Purple Green Row 7: Gray Purple Purple Purple Gray Gray Purple Purple Row 8: Purple Gray Purple Green Purple Purple Purple Purple Row 9: Yellow Purple Green Blue Green Purple Purple Purple Row 10: Purple Orange Purple Purple Gray Gray Gray Purple Row 11: Gray Orange Purple Yellow Purple Purple Purple Gray Row 12: Purple Gray Purple Red Purple Green Gray Purple Row 13: Orange Purple Purple Purple Orange Purple Purple Purple Row 14: Gray Gray Yellow Blue Yellow Orange Purple Green Row 15: Gray Green Orange Orange Purple Purple Purple Purple Row 16: Gray Purple Green Purple Yellow Purple Purple Purple Row 17: Red Green Green Purple Red Green Yellow Green Reason step by step and finalize your response with the output grid for the new test input in format: <answer> {answer} </answer>	Purple Purple Green Yellow Purple Purple Purple Blue Blue Purple Purple Purple Yellow Green Purple Purple Purple Red Orange Purple Gray Purple Purple Gray Gray Purple Purple Gray Purple Orange Red Purple Orange Purple Purple Yellow Purple Purple Gray Purple Purple Gray Purple Purple Yellow Purple Purple Orange Blue Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Blue Purple Purple Purple Purple Purple Green Gray Green Green Gray Green Purple Purple Purple Purple Purple Purple Green Yellow Gray Orange Purple Purple Green Green Purple Purple Orange Gray Yellow Green Purple Gray Purple Purple Purple Gray Gray Purple Purple Purple Purple Gray Gray Purple Purple Purple Gray Purple Gray Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Gray Purple Yellow Purple Green Blue Green Purple Purple Purple Purple Purple Purple Green Blue Green Purple Yellow Purple Orange Purple Purple Gray Gray Gray Purple Purple Gray Gray Gray Purple Purple Orange Purple Gray Orange Purple Yellow Purple Purple Purple Gray Gray Purple Purple Purple Yellow Purple Orange Gray Purple Gray Purple Red Purple Green Gray Purple Purple Gray Green Purple Red Purple Gray Purple Orange Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Gray Gray Yellow Blue Yellow Orange Purple Green Green Purple Orange Yellow Blue Yellow Gray Gray Gray Green Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Green Gray Gray Purple Green Purple Yellow Purple Purple Purple Purple Purple Purple Yellow Purple Green Purple Gray Red Green Green Purple Red Green Yellow Green Green Yellow Green Red Purple Green Green Red