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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Blue Brown Brown Brown Black Blue Black Black Black Black Black
Black Black Blue Brown Brown Brown Brown Blue Black Black Black Black Black
Black Black Blue Brown Brown Brown Brown Blue Black Black Black Black Black
Black Black Blue Black Brown Brown Brown Blue Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Blue Purple Purple Black Blue Black Black Black Black Black
Black Black Black Blue Purple Purple Purple Blue Black Black Black Black Black
Black Black Black Blue Black Purple Purple Blue Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Blue Pink Pink Black Blue Black Black Black Black
Black Black Black Black Blue Pink Pink Pink Blue Black Black Black Black
Black Black Black Black Blue Black Pink Pink Blue Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue 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

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


Example 2
Input:
Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Black Blue Black Blue Black Black Black Blue Blue Blue Blue Blue
Black Black Blue Blue Blue Blue Blue Black Black Black Blue Orange Black Black Blue
Black Black Blue Blue Blue Blue Blue Black Black Black Blue Orange Orange Orange Blue
Black Black Blue Black Blue Black Blue Black Black Black Blue Blue Blue Blue Blue
Black Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Blue Red Red Blue Black
Black Black Black Black Black Blue Blue Blue Blue Black Blue Red Red Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Red Red Blue Black
Black Blue Gray Gray Blue Blue Blue Blue Blue Black Blue Red Red Blue Black
Black Blue Gray Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black

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


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

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


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

```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Red Red Blue Black Black Blue Blue Blue Blue Blue Black Black Black
Blue Red Red Blue Black Black Blue Black Red Red Blue Black Black Black
Blue Red Red Blue Black Black Blue Red Red Black Blue Black Black Black
Blue Blue Blue Blue Black Black Blue Red Red Black Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Red Red Blue Black Black Black
Black Blue Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black
Black Blue Red Red Red Blue Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Red Red Red Red Blue Black Black
Black Black Black Black Black Black Blue Red Red Red Red Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant