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 Black Purple Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Purple Black Black Black Purple Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Black Black
Black Black Black Purple Black Black Black Black Black Black Purple Black
Black Black Black Purple Black Black Purple Purple Black Purple Purple Black
Black Black Black Purple Purple Black Purple Black Black Black Black Black
Black Black Purple Black Black Black Purple Black Black Purple Black Purple
Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black

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


Example 2
Input:
Black Black Purple Black Purple Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Gray Gray Gray Gray Gray Gray Gray Purple
Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Purple Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Purple Black Purple Black Black Black Black Purple Black
Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Purple
Purple Black Black Purple Black Purple Gray Gray Gray Gray Gray Gray Gray Purple
Black Purple Black Black Black Black Black Black Black Black Purple Black Black Black

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


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

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


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