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 Brown Brown Brown
Brown Blue Blue Yellow
Brown Blue Blue Purple
Purple Blue Blue Yellow

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


Example 2
Input:
Green Green Green Pink
Purple Green Pink Pink
Purple Orange Purple Pink
Orange Orange Orange Orange

Output:
Purple Purple Pink Pink
Purple Purple Pink Pink
Orange Orange Orange Orange
Orange Orange Orange Orange


Example 3
Input:
Gray Blue Blue Green
Gray Pink Green Gray
Gray Green Gray Pink
Blue Gray Pink Green

Output:
Gray Gray Green Green
Gray Gray Green Green
Blue Blue Pink Pink
Blue Blue Pink Pink


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