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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Red Red Red Red Red Black Black Black
Black Black Black Purple Black Black Black Black Black Red Red Red Red Red Black Black Black
Purple Black Black Black Black Purple Purple Black Black Red Red Red Red Red Black Black Black
Black Black Black Black Black Black Purple Black Black Red Red Red Red Red Purple Black Purple
Purple Black Purple Black Purple Purple Black Black Purple Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Purple Black Black Black Purple Black Black Black Purple Black
Black Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black
Black Purple Black Black Black Black Purple Purple Black Black Black Black Purple Purple Purple Black Black
Black Black Black Purple Black Black 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 Black Black

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


Example 2
Input:
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black
Red Red Red Red Red Black Purple Purple Black Black Black Black Purple Black Purple
Red Red Red Red Red Black Black Black Black Black Black Black Black Purple Black
Red Red Red Red Red Black Purple Black Black Black Black Purple Black Black Black
Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Black
Red Red Red Red Red Black Black Purple Purple Black Black Black Purple Black Black
Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Purple Black
Purple Black Black Black Purple Black Black Black Black Black Black Black Black Purple Black
Black Black Purple Black Black Black Black Black Black Black Purple Purple Black Black Black
Purple Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black

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


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

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


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

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