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:
Brown Black Black Brown Black Black Black Brown Black Brown Black Black Black Black Black Black Black Brown Black Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black Black Brown Black
Brown Black Black Black Black Black Blue Blue Black Black Brown Brown Brown Brown Brown Black Black Brown Brown Black
Black Black Black Brown Black Brown Blue Brown Black Brown Black Black Black Black Black Black Black Black Black Black
Black Brown Blue Blue Brown Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Brown
Black Black Blue Black Brown Brown Black Black Black Black Black Brown Black Brown Brown Brown Black Black Black Black
Black Black Brown Black Black Blue Blue Black Black Black Black Black Black Brown Black Brown Black Black Black Brown
Brown Black Black Black Brown Blue Brown Black Black Black Brown Black Brown Black Brown Black Black Brown Black Brown
Black Brown Brown Blue Blue Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Black
Black Black Brown Blue Blue Brown Brown Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black
Black Black Black Blue Blue Blue Black Brown Black Brown Black Black Brown Black Black Brown Black Black Brown Black
Brown Brown Black Black Blue Brown Black Black Black Black Black Black Brown Blue Blue Black Brown Black Black Black
Black Brown Black Black Black Brown Brown Brown Brown Black Brown Brown Black Blue Black Black Brown Black Black Black
Black Brown Brown Brown Black Black Brown Black Black Black Brown Black Black Brown Black Blue Black Black Black Black
Brown Black Black Brown Brown Black Black Black Black Black Black Black Blue Black Blue Blue Blue Black Black Black
Brown Blue Blue Black Black Brown Black Black Blue Blue Black Blue Blue Blue Black Blue Brown Black Black Black
Brown Blue Brown Black Brown Black Black Brown Blue Brown Brown Black Blue Black Black Black Black Brown Black Black
Brown Black Black Brown Black Brown Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Black
Brown Black Black Black Black Black Brown Black Black Brown Black Brown Black Black Brown Brown Black Brown Black Black
Brown Brown Brown Brown Brown Black Brown Brown Brown Black Black Black Black Black Brown Black Black Black Black Brown

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


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

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


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

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


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