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 Purple Purple Red Black Red Black Black Purple
Black Purple Black Black Purple Black Black Purple Black Black Black
Black Black Black Black Purple Black Black Black Purple Black Red
Purple Black Black Black Purple Black Purple Black Black Black Blue
Purple Blue Black Black Black Purple Black Black Red Black Black
Black Purple Purple Purple Purple Red Red Black Black Purple Black
Black Black Black Red Black Black Black Black Black Black Blue

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


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

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


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

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


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