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 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 Black Black Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue
Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red
Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Yellow Purple Purple Purple


Example 2
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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Red Red Black Black Black Black
Red Red Black Black Black Black Black Black Black Red Red Black Red Red Black
Red Red Black Black Black Red Red Black Black Red Red Black Red Red Black
Red Red Black Black Black Red Red Black Black Red Red Black Red Red Black
Red Red Black Black Black Red Red Black Black Red Red Black Red Red Black

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


Example 3
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 Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red
Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Red Red 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
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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