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 Green Green Green Green Green Black Black Black Black Green Black Black Black
Black Black Black Green Green Green Green Green Green Green Black Black Green Green Green Black Black
Black Black Black Black Green Green Green Green Green Black Black Green Green Yellow Green Green Black
Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Yellow Yellow Green Green
Black Black Black Yellow Yellow Yellow Green Green Green Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Yellow Yellow Yellow Yellow Yellow Green Black Black Green Green Yellow Yellow Yellow Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Green Green Green Yellow Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black
Black Black Black Yellow Yellow Yellow Green Green Green Green Black Green Black Black Black Black Black
Black Black Black Black Yellow Green Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black

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


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

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


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

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


Here is the input grid for the test example:
Input:
Black Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Green Black Black Black Black Black
Green Green Green Green Green Black Black Green Green Green Black Black Black Black
Green Green Green Green Black Yellow Green Green Green Green Yellow Black Black Black
Green Green Green Black Yellow Green Green Green Green Yellow Yellow Yellow Black Black
Black Green Black Black Yellow Yellow Green Green Green Green Yellow Black Black Black
Black Yellow Black Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Black Black Black Black
Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Purple Red Purple Purple Purple Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Purple Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black
Red Red Red Red Red Red Red Red Red Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant