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:
Green Green Black Green Black Green
Green Black Green Black Black Green
Green Green Black Green Black Green

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


Example 2
Input:
Green Black Black Green Black Green
Green Green Black Black Black Green
Green Black Black Green Black Green

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


Example 3
Input:
Black Black Green Green Black Black
Green Black Black Green Green Green
Black Black Green Green Black Black

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


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

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