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:
Gray Brown Purple Gray Brown Red Red Gray Gray Gray Purple Red
Yellow Red Purple Gray Purple Gray Gray Brown Yellow Red Brown Brown
Yellow Red Gray Purple Purple Purple Brown Yellow Brown Yellow Brown Red
Gray Gray Gray Gray Purple Red Red Brown Gray Gray Red Gray
Red Brown Gray Brown Purple Yellow Red Yellow Gray Purple Gray Gray
Purple Red Brown Yellow Red Red Purple Yellow Yellow Purple Yellow Brown
Purple Brown Red Gray Yellow Purple Purple Purple Yellow Brown Brown Purple
Purple Brown Brown Yellow Red Purple Yellow Purple Gray Red Red Brown
Purple Yellow Purple Yellow Purple Purple Purple Red Brown Red Yellow Brown
Purple Yellow Brown Red Red Yellow Purple Gray Purple Yellow Purple Red
Brown Brown Yellow Red Brown Yellow Yellow Yellow Gray Yellow Brown Brown
Red Yellow Brown Purple Gray Purple Red Brown Red Yellow Purple Red
Gray Purple Gray Yellow Gray Purple Yellow Red Purple Yellow Red Red
Brown Gray Purple Brown Gray Yellow Purple Brown Gray Purple Yellow Yellow
Red Purple Yellow Brown Purple Gray Brown Yellow Purple Gray Brown Brown

Output:
Black Brown Purple Gray Brown Red Red Gray Gray Gray Purple Red
Yellow Red Purple Gray Purple Gray Gray Brown Yellow Red Brown Brown
Yellow Red Gray Purple Purple Purple Brown Yellow Brown Yellow Brown Red
Gray Gray Gray Gray Purple Red Red Brown Gray Gray Red Gray
Red Brown Gray Brown Purple Yellow Red Yellow Gray Purple Gray Gray
Purple Red Brown Yellow Red Red Purple Yellow Yellow Purple Yellow Brown
Purple Brown Red Gray Yellow Purple Purple Purple Yellow Brown Brown Purple
Purple Brown Brown Yellow Red Purple Yellow Purple Gray Red Red Brown
Purple Yellow Purple Yellow Purple Purple Purple Red Brown Red Yellow Brown
Purple Yellow Brown Red Red Yellow Purple Gray Purple Yellow Purple Red
Brown Brown Yellow Red Brown Yellow Yellow Yellow Gray Yellow Brown Brown
Red Yellow Brown Purple Gray Purple Red Brown Red Yellow Purple Red
Gray Purple Gray Yellow Gray Purple Yellow Red Purple Yellow Red Red
Brown Gray Purple Brown Gray Yellow Purple Brown Gray Purple Yellow Yellow
Red Purple Yellow Brown Purple Gray Brown Yellow Purple Gray Brown Brown


Example 2
Input:
Gray Red Yellow Yellow Orange Yellow Gray Brown Yellow Orange Red Orange Gray Red Brown Orange Brown Red Gray Red
Red Orange Yellow Red Brown Orange Gray Brown Gray Brown Brown Yellow Orange Gray Red Yellow Orange Brown Yellow Yellow
Brown Yellow Gray Brown Red Gray Gray Red Brown Brown Brown Gray Orange Gray Red Yellow Yellow Yellow Gray Yellow
Yellow Yellow Brown Red Gray Orange Brown Yellow Yellow Yellow Gray Orange Orange Brown Red Yellow Brown Red Red Brown
Orange Brown Brown Brown Yellow Yellow Orange Gray Red Orange Gray Red Yellow Orange Orange Yellow Brown Orange Yellow Orange
Red Orange Orange Red Yellow Red Yellow Gray Brown Gray Brown Orange Gray Brown Brown Gray Red Gray Yellow Orange
Brown Gray Orange Orange Red Red Brown Yellow Gray Yellow Red Brown Brown Gray Yellow Gray Orange Red Brown Brown
Red Gray Yellow Gray Gray Orange Red Gray Brown Red Brown Yellow Red Orange Yellow Orange Orange Red Gray Gray
Orange Yellow Red Gray Orange Red Orange Brown Orange Gray Orange Gray Red Brown Red Yellow Red Red Gray Gray
Yellow Orange Brown Orange Yellow Gray Gray Yellow Gray Red Yellow Red Orange Brown Orange Red Yellow Yellow Orange Brown

Output:
Black Red Yellow Yellow Orange Yellow Gray Brown Yellow Orange Red Orange Gray Red Brown Orange Brown Red Gray Red
Red Orange Yellow Red Brown Orange Gray Brown Gray Brown Brown Yellow Orange Gray Red Yellow Orange Brown Yellow Yellow
Brown Yellow Gray Brown Red Gray Gray Red Brown Brown Brown Gray Orange Gray Red Yellow Yellow Yellow Gray Yellow
Yellow Yellow Brown Red Gray Orange Brown Yellow Yellow Yellow Gray Orange Orange Brown Red Yellow Brown Red Red Brown
Orange Brown Brown Brown Yellow Yellow Orange Gray Red Orange Gray Red Yellow Orange Orange Yellow Brown Orange Yellow Orange
Red Orange Orange Red Yellow Red Yellow Gray Brown Gray Brown Orange Gray Brown Brown Gray Red Gray Yellow Orange
Brown Gray Orange Orange Red Red Brown Yellow Gray Yellow Red Brown Brown Gray Yellow Gray Orange Red Brown Brown
Red Gray Yellow Gray Gray Orange Red Gray Brown Red Brown Yellow Red Orange Yellow Orange Orange Red Gray Gray
Orange Yellow Red Gray Orange Red Orange Brown Orange Gray Orange Gray Red Brown Red Yellow Red Red Gray Gray
Yellow Orange Brown Orange Yellow Gray Gray Yellow Gray Red Yellow Red Orange Brown Orange Red Yellow Yellow Orange Brown


Example 3
Input:
Pink Orange Yellow Pink Brown Orange Brown Yellow Yellow Gray Gray Brown
Orange Brown Yellow Orange Gray Gray Yellow Pink Yellow Yellow Gray Gray
Yellow Pink Orange Brown Orange Brown Orange Yellow Pink Pink Orange Orange
Pink Pink Orange Brown Gray Yellow Yellow Pink Orange Gray Yellow Yellow
Brown Brown Gray Pink Pink Pink Orange Gray Orange Gray Yellow Pink
Gray Gray Orange Brown Brown Pink Orange Pink Pink Gray Brown Pink
Yellow Brown Gray Gray Yellow Pink Pink Pink Brown Yellow Gray Brown
Yellow Pink Orange Brown Yellow Pink Pink Pink Orange Gray Pink Orange
Yellow Brown Orange Brown Yellow Pink Pink Pink Pink Pink Gray Gray
Yellow Brown Orange Gray Yellow Brown Orange Orange Pink Yellow Orange Orange

Output:
Black Orange Yellow Pink Brown Orange Brown Yellow Yellow Gray Gray Brown
Orange Brown Yellow Orange Gray Gray Yellow Pink Yellow Yellow Gray Gray
Yellow Pink Orange Brown Orange Brown Orange Yellow Pink Pink Orange Orange
Pink Pink Orange Brown Gray Yellow Yellow Pink Orange Gray Yellow Yellow
Brown Brown Gray Pink Pink Pink Orange Gray Orange Gray Yellow Pink
Gray Gray Orange Brown Brown Pink Orange Pink Pink Gray Brown Pink
Yellow Brown Gray Gray Yellow Pink Pink Pink Brown Yellow Gray Brown
Yellow Pink Orange Brown Yellow Pink Pink Pink Orange Gray Pink Orange
Yellow Brown Orange Brown Yellow Pink Pink Pink Pink Pink Gray Gray
Yellow Brown Orange Gray Yellow Brown Orange Orange Pink Yellow Orange Orange


Here is the input grid for the test example:
Input:
Purple Orange Brown Red Purple Purple Gray Red Orange Brown
Gray Orange Purple Brown Red Red Red Gray Gray Orange
Gray Purple Brown Brown Red Red Purple Purple Purple Gray
Red Gray Gray Brown Red Red Gray Gray Orange Orange
Red Purple Red Red Purple Red Purple Purple Red Orange
Brown Gray Purple Purple Purple Purple Purple Purple Orange Gray
Purple Purple Orange Purple Purple Purple Gray Gray Purple Orange
Brown Purple Purple Orange Orange Gray Gray Gray Purple Purple
Orange Brown Purple Purple Purple Gray Orange Red Orange Gray
Red Orange Orange Orange Gray Gray Orange Brown Brown Purple
Brown Brown Gray Purple Purple Brown Orange Red Brown Orange
Gray Orange Red Gray Purple Brown Orange Purple Purple Red
Red Gray Red Orange Gray Gray Gray Gray Gray Brown
Orange Orange Red Red Gray Brown Orange Gray Gray Purple
Red Red Red Brown Purple Purple Gray Gray Brown Gray
Brown Brown Gray Purple Purple Red Brown Orange Red Brown
Red Orange Red Red Orange Red Orange Brown Orange Gray
Brown Gray Orange Red Brown Gray Gray Red Orange Brown
Orange Brown Brown Red Brown Gray Purple Purple Purple Red


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:

```
Black Orange Brown Red Purple Purple Gray Red Orange Brown
Gray Orange Purple Brown Red Red Red Gray Gray Orange
Gray Purple Brown Brown Red Red Purple Purple Purple Gray
Red Gray Gray Brown Red Red Gray Gray Orange Orange
Red Purple Red Red Purple Red Purple Purple Red Orange
Brown Gray Purple Purple Purple Purple Purple Purple Orange Gray
Purple Purple Orange Purple Purple Purple Gray Gray Purple Orange
Brown Purple Purple Orange Orange Gray Gray Gray Purple Purple
Orange Brown Purple Purple Purple Gray Orange Red Orange Gray
Red Orange Orange Orange Gray Gray Orange Brown Brown Purple
Brown Brown Gray Purple Purple Brown Orange Red Brown Orange
Gray Orange Red Gray Purple Brown Orange Purple Purple Red
Red Gray Red Orange Gray Gray Gray Gray Gray Brown
Orange Orange Red Red Gray Brown Orange Gray Gray Purple
Red Red Red Brown Purple Purple Gray Gray Brown Gray
Brown Brown Gray Purple Purple Red Brown Orange Red Brown
Red Orange Red Red Orange Red Orange Brown Orange Gray
Brown Gray Orange Red Brown Gray Gray Red Orange Brown
Orange Brown Brown Red Brown Gray Purple Purple Purple Red
```
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