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:
Black Black Black
Black Pink Black
Pink Pink Black

Output:
Pink Black Black Brown Brown
Pink Pink Black Brown Brown
Black Black Black Brown Brown
Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown


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

Output:
Black Black Black Black Black Brown Brown
Black Black Black Black Black Brown Brown
Black Black Black Black Yellow Brown Brown
Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown


Example 3
Input:
Black Black Purple
Black Purple Purple
Black Black Black

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


Here is the input grid for the test example:
Input:
Black Purple Black Purple
Black Purple Purple Purple
Purple Purple 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:

```
Purple Black Black Brown Brown
Purple Purple Purple Brown Brown
Black Purple Black Brown Brown
Black Purple Purple Brown Brown
Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown
```
assistant