You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
system
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Purple Brown Gray Yellow Orange Purple Brown Orange Pink Pink Purple Gray Yellow Purple Pink Brown
Pink Orange Yellow Pink Purple Purple Pink Gray Brown Orange Yellow Yellow Yellow Gray Purple Purple Gray
Orange Orange Purple Pink Orange Purple Pink Purple Gray Brown Gray Brown Purple Orange Brown Purple Yellow
Pink Orange Purple Gray Pink Gray Gray Brown Pink Brown Orange Pink Gray Gray Purple Brown Brown
Yellow Yellow Orange Yellow Purple Brown Pink Orange Gray Blue Brown Purple Pink Orange Purple Pink Gray
Orange Brown Orange Gray Orange Orange Blue Yellow Purple Gray Purple Green Pink Red Pink Orange Brown
Yellow Purple Purple Pink Gray Brown Blue Brown Gray Yellow Yellow Orange Gray Green Orange Purple Blue
Yellow Purple Gray Orange Yellow Orange Purple Yellow Gray Yellow Yellow Pink Pink Gray Pink Purple Gray
Purple Purple Purple Gray Orange Brown Orange Yellow Orange Pink Orange Gray Orange Orange Orange Brown Purple
Yellow Pink Brown Orange Purple Pink Brown Purple Brown Yellow Red Gray Orange Pink Yellow Brown Yellow
Gray Yellow Purple Purple Brown Brown Yellow Brown Purple Orange Gray Gray Pink Purple Brown Pink Gray
Orange Orange Orange Pink Purple Yellow Purple Pink Pink Pink Brown Purple Yellow Gray Yellow Gray Gray
Pink Purple Pink Orange Gray Pink Pink Purple Purple Orange Purple Pink Yellow Purple Yellow Yellow Pink

Output:
Purple Purple Brown Gray Yellow Orange Purple Brown Orange Pink Pink Purple Gray Yellow Purple Pink Brown
Pink Orange Yellow Pink Purple Purple Pink Gray Brown Orange Yellow Yellow Yellow Gray Purple Purple Gray
Orange Orange Purple Pink Orange Purple Pink Purple Gray Brown Gray Brown Purple Orange Brown Purple Yellow
Pink Orange Purple Gray Pink Gray Gray Brown Pink Brown Orange Pink Gray Gray Purple Brown Brown
Yellow Yellow Orange Yellow Purple Brown Pink Orange Gray Blue Brown Purple Pink Orange Purple Pink Gray
Orange Brown Orange Gray Orange Orange Blue Yellow Purple Gray Purple Purple Orange Yellow Orange Orange Brown
Yellow Purple Purple Pink Gray Brown Blue Brown Gray Yellow Yellow Orange Gray Purple Orange Purple Blue
Yellow Purple Gray Orange Yellow Orange Purple Yellow Gray Yellow Yellow Pink Pink Gray Pink Purple Gray
Purple Purple Purple Gray Orange Brown Orange Yellow Orange Pink Orange Gray Orange Orange Orange Brown Purple
Yellow Pink Brown Orange Purple Pink Brown Purple Brown Orange Yellow Orange Orange Pink Yellow Brown Yellow
Gray Yellow Purple Purple Brown Brown Yellow Brown Purple Orange Orange Gray Pink Purple Brown Pink Gray
Orange Orange Orange Pink Purple Yellow Purple Pink Pink Pink Brown Purple Yellow Gray Yellow Gray Gray
Pink Purple Pink Orange Gray Pink Pink Purple Purple Orange Purple Pink Yellow Purple Yellow Yellow Pink


Example 2
Input:
Gray Orange Brown Purple Green Gray Gray Gray Gray Purple Pink Red Purple Brown Gray
Brown Brown Brown Pink Brown Orange Brown Pink Yellow Brown Brown Orange Green Orange Yellow
Yellow Yellow Brown Purple Orange Red Yellow Purple Brown Brown Orange Orange Pink Purple Orange
Brown Orange Purple Brown Pink Pink Pink Purple Pink Brown Brown Purple Brown Orange Brown
Purple Yellow Gray Brown Yellow Pink Brown Purple Gray Orange Gray Yellow Pink Brown Gray
Gray Yellow Yellow Pink Gray Yellow Orange Pink Pink Orange Orange Pink Pink Pink Brown
Gray Orange Purple Gray Yellow Purple Purple Gray Brown Green Pink Orange Gray Purple Yellow
Gray Purple Gray Orange Yellow Purple Gray Pink Gray Pink Orange Pink Blue Gray Brown
Orange Brown Brown Orange Blue Pink Gray Orange Purple Yellow Yellow Pink Pink Blue Gray
Blue Brown Yellow Purple Orange Purple Pink Yellow Gray Pink Orange Purple Purple Brown Pink
Orange Red Purple Yellow Gray Yellow Gray Pink Pink Gray Pink Pink Gray Gray Orange
Purple Gray Yellow Brown Pink Pink Yellow Gray Yellow Orange Pink Brown Brown Pink Orange

Output:
Gray Orange Brown Purple Purple Gray Gray Gray Gray Purple Orange Yellow Orange Brown Gray
Brown Brown Brown Pink Brown Orange Brown Pink Yellow Brown Brown Orange Purple Orange Yellow
Yellow Yellow Brown Purple Orange Yellow Orange Purple Brown Brown Orange Orange Pink Purple Orange
Brown Orange Purple Brown Pink Orange Pink Purple Pink Brown Brown Purple Brown Orange Brown
Purple Yellow Gray Brown Yellow Pink Brown Purple Gray Orange Gray Yellow Pink Brown Gray
Gray Yellow Yellow Pink Gray Yellow Orange Pink Pink Orange Orange Pink Pink Pink Brown
Gray Orange Purple Gray Yellow Purple Purple Gray Brown Purple Pink Orange Gray Purple Yellow
Gray Purple Gray Orange Yellow Purple Gray Pink Gray Pink Orange Pink Blue Gray Brown
Orange Brown Brown Orange Blue Pink Gray Orange Purple Yellow Yellow Pink Pink Blue Gray
Blue Orange Yellow Purple Orange Purple Pink Yellow Gray Pink Orange Purple Purple Brown Pink
Orange Yellow Orange Yellow Gray Yellow Gray Pink Pink Gray Pink Pink Gray Gray Orange
Purple Orange Yellow Brown Pink Pink Yellow Gray Yellow Orange Pink Brown Brown Pink Orange


Example 3
Input:
Pink Pink Pink Yellow Orange Purple Yellow Gray Pink Yellow Brown Pink Yellow Purple Purple Gray
Yellow Purple Purple Brown Gray Pink Yellow Brown Yellow Orange Orange Pink Purple Blue Gray Purple
Blue Pink Pink Brown Purple Gray Brown Purple Yellow Pink Pink Orange Purple Purple Purple Pink
Brown Pink Pink Gray Brown Orange Pink Purple Gray Gray Yellow Pink Yellow Gray Gray Red
Orange Yellow Gray Gray Purple Pink Purple Purple Pink Yellow Purple Pink Pink Purple Yellow Brown
Gray Purple Purple Purple Orange Orange Brown Pink Yellow Brown Purple Yellow Brown Orange Gray Pink
Brown Pink Yellow Purple Brown Yellow Purple Blue Orange Yellow Brown Gray Brown Orange Brown Pink
Gray Purple Orange Pink Yellow Pink Orange Orange Gray Brown Yellow Yellow Gray Pink Purple Orange
Orange Pink Pink Pink Orange Yellow Brown Purple Orange Brown Yellow Orange Orange Pink Purple Gray
Gray Pink Yellow Pink Gray Orange Yellow Yellow Yellow Pink Gray Gray Blue Yellow Yellow Brown
Brown Yellow Brown Gray Yellow Yellow Purple Pink Purple Pink Gray Yellow Pink Green Purple Brown
Orange Yellow Orange Pink Orange Pink Gray Yellow Pink Pink Yellow Yellow Brown Gray Gray Brown

Output:
Pink Pink Pink Yellow Orange Purple Yellow Gray Pink Yellow Brown Pink Yellow Purple Purple Gray
Yellow Purple Purple Brown Gray Pink Yellow Brown Yellow Orange Orange Pink Purple Blue Gray Purple
Blue Pink Pink Brown Purple Gray Brown Purple Yellow Pink Pink Orange Purple Purple Purple Orange
Brown Pink Pink Gray Brown Orange Pink Purple Gray Gray Yellow Pink Yellow Gray Orange Yellow
Orange Yellow Gray Gray Purple Pink Purple Purple Pink Yellow Purple Pink Pink Purple Yellow Orange
Gray Purple Purple Purple Orange Orange Brown Pink Yellow Brown Purple Yellow Brown Orange Gray Pink
Brown Pink Yellow Purple Brown Yellow Purple Blue Orange Yellow Brown Gray Brown Orange Brown Pink
Gray Purple Orange Pink Yellow Pink Orange Orange Gray Brown Yellow Yellow Gray Pink Purple Orange
Orange Pink Pink Pink Orange Yellow Brown Purple Orange Brown Yellow Orange Orange Pink Purple Gray
Gray Pink Yellow Pink Gray Orange Yellow Yellow Yellow Pink Gray Gray Blue Yellow Yellow Brown
Brown Yellow Brown Gray Yellow Yellow Purple Pink Purple Pink Gray Yellow Pink Purple Purple Brown
Orange Yellow Orange Pink Orange Pink Gray Yellow Pink Pink Yellow Yellow Brown Gray Gray Brown


Here is the input grid for the test example:
Input:
Brown Brown Yellow Yellow Purple Gray Yellow Purple Gray Brown Yellow Gray Purple Gray
Brown Brown Brown Brown Yellow Purple Brown Purple Purple Yellow Gray Orange Gray Purple
Pink Yellow Yellow Pink Orange Red Yellow Orange Orange Orange Purple Orange Gray Purple
Brown Yellow Gray Purple Brown Orange Orange Orange Brown Brown Orange Purple Orange Brown
Purple Yellow Brown Brown Gray Gray Brown Brown Purple Orange Purple Purple Pink Gray
Gray Pink Yellow Orange Pink Orange Pink Gray Orange Orange Yellow Orange Brown Pink
Purple Orange Brown Yellow Yellow Purple Purple Orange Orange Purple Pink Brown Orange Yellow
Purple Gray Yellow Pink Purple Brown Gray Purple Brown Brown Pink Gray Pink Brown
Blue Pink Orange Yellow Green Orange Pink Pink Gray Purple Gray Purple Gray Pink
Yellow Gray Yellow Orange Red Brown Gray Brown Brown Brown Pink Pink Pink Purple
Brown Yellow Purple Brown Gray Gray Orange Pink Gray Purple Brown Brown Purple Pink
Yellow Brown Purple Orange Yellow Yellow Gray Brown Brown Yellow Green Gray Gray Orange
Purple Yellow Pink Gray Purple Orange Yellow Purple Yellow Purple Pink Yellow Purple Gray
Brown Purple Gray Yellow Pink Yellow Orange Orange Gray Purple Orange Brown Pink Pink


Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
user
The output grid for the test input grid is:

```
Brown Brown Yellow Yellow Purple Gray Yellow Purple Gray Brown Yellow Gray Purple Gray
Brown Brown Brown Brown Yellow Orange Brown Purple Purple Yellow Gray Orange Gray Purple
Pink Yellow Yellow Pink Orange Yellow Orange Orange Orange Orange Purple Orange Gray Purple
Brown Yellow Gray Purple Brown Orange Orange Orange Brown Brown Orange Purple Orange Brown
Purple Yellow Brown Brown Gray Gray Brown Brown Purple Orange Purple Purple Pink Gray
Gray Pink Yellow Orange Pink Orange Pink Gray Orange Orange Yellow Orange Brown Pink
Purple Orange Brown Yellow Yellow Purple Purple Orange Orange Purple Pink Brown Orange Yellow
Purple Gray Yellow Pink Purple Brown Gray Purple Brown Brown Pink Gray Pink Brown
Blue Pink Orange Yellow Orange Orange Pink Pink Gray Purple Gray Purple Gray Pink
Yellow Gray Yellow Orange Yellow Orange Gray Brown Brown Brown Pink Pink Pink Purple
Brown Yellow Purple Brown Orange Gray Orange Pink Gray Purple Brown Brown Purple Pink
Yellow Brown Purple Orange Yellow Yellow Gray Brown Brown Yellow Purple Gray Gray Orange
Purple Yellow Pink Gray Purple Orange Yellow Purple Yellow Purple Pink Yellow Purple Gray
Brown Purple Gray Yellow Pink Yellow Orange Orange Gray Purple Orange Brown Pink Pink
```
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