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:
Yellow Pink Black Pink Black
Yellow Black Black Pink Pink
Yellow Pink Black Yellow Black
Black Black Black Black Black

Output:
Yellow Pink Black Pink Black
Yellow Black Black Pink Pink
Yellow Pink Black Yellow Black
Black Black Black Black Black
Purple Pink Purple Pink Yellow
Pink Pink Purple Purple Yellow
Purple Yellow Purple Pink Yellow
Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Orange Black
Orange Black Yellow Black
Black Black Black Black
Yellow Yellow Orange Black
Orange Black Black Black

Output:
Black Black Orange Black
Orange Black Yellow Black
Black Black Black Black
Yellow Yellow Orange Black
Orange Black Black Black
Purple Orange Purple Purple
Purple Yellow Purple Orange
Purple Purple Purple Purple
Purple Orange Yellow Yellow
Purple Purple Purple Orange


Example 3
Input:
Gray Brown Black Black Black
Black Black Black Gray Brown
Black Black Gray Black Black
Gray Gray Black Gray Black
Brown Brown Black Gray Black

Output:
Gray Brown Black Black Black
Black Black Black Gray Brown
Black Black Gray Black Black
Gray Gray Black Gray Black
Brown Brown Black Gray Black
Purple Purple Purple Brown Gray
Brown Gray Purple Purple Purple
Purple Purple Gray Purple Purple
Purple Gray Purple Gray Gray
Purple Gray Purple Brown Brown


Here is the input grid for the test example:
Input:
Gray Black Gray
Black Pink Black
Gray Black Black


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 Black Gray
Black Pink Black
Gray Black Black
Gray Purple Gray
Purple Pink Purple
Purple Purple Gray
```
assistant