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:
Brown Brown Brown Brown
Brown Purple Purple Brown
Brown Purple Purple Brown
Brown Brown Brown Brown

Output:
Brown Brown Brown Brown
Brown Brown Brown Brown
Brown Purple Purple Brown
Brown Purple Purple Brown


Example 2
Input:
Black Purple Blue Purple Black
Yellow Pink Pink Pink Yellow
Pink Pink Purple Pink Pink
Green Blue Blue Blue Green
Green Green Blue Green Green

Output:
Green Green Blue Green Green
Black Purple Blue Purple Black
Yellow Pink Pink Pink Yellow
Pink Pink Purple Pink Pink
Green Blue Blue Blue Green


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

Output:
Black Orange Pink Gray Red
Black Yellow Yellow Green Orange
Purple Purple Yellow Red Red
Blue Blue Blue Pink Orange
Purple Red Red Red Red


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


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:

```
Purple Blue Brown
Purple Blue Brown
Purple Purple Gray
```
assistant