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 Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple
Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple
Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple
Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown
Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple
Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown
Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown
Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown

Output:
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray
Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray
Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray
Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow


Example 2
Input:
Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow
Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow
Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow
Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown
Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown
Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown
Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow
Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink
Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink
Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink
Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown
Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown
Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown

Output:
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink
Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow
Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow
Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow
Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink
Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink
Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown
Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown
Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow
Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow
Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow


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

Output:
Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple
Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple
Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple
Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow
Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow


Here is the input grid for the test example:
Input:
Purple Purple Purple Gray Gray Gray Brown Brown Brown
Purple Purple Purple Gray Gray Gray Brown Brown Brown
Purple Purple Purple Gray Gray Gray Brown Brown Brown
Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Pink Pink Pink
Purple Purple Purple Purple Purple Purple Pink Pink Pink
Purple Purple Purple Purple Purple Purple Pink 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:

```
Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow
Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow
Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow
Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Gray Gray Gray Brown Brown Brown
Gray Gray Gray Gray Gray Gray Brown Brown Brown
Gray Gray Gray Gray Gray Gray Brown Brown Brown
```
assistant