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 Yellow Yellow Yellow Yellow Blue Blue
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue
Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black
Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Yellow Yellow Black Black
Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Yellow Yellow Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Blue Blue Black Black Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Blue Blue Black Black Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Blue Blue
Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow
Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow
Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Blue Blue Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black
Blue Blue Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow

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


Example 2
Input:
Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Blue Blue Blue Blue Black Black Black Black Yellow Yellow Blue Blue
Yellow Yellow Blue Blue Blue Blue Black Black Black Black Yellow Yellow Blue Blue
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow
Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow
Black Black Yellow Yellow Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black

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


Example 3
Input:
Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow
Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black
Black Black Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black
Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue
Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue
Blue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black
Blue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue
Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black
Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Blue Blue Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black
Blue Blue Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue
Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue
Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black
Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black
Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue
Blue Blue Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Yellow Yellow Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Yellow Yellow Blue Blue Blue Blue
Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow
Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow


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