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:
Gray Gray Black Black Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Blue Blue Blue Black Black Gray
Black Black Black Black Black Gray Gray Gray Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Gray Black Black
Black Black Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Gray Black Black
Gray Black Black Black Gray Black Black Gray Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black
Black Gray Black Black Gray Black Gray Black Black Black Blue Black Black Blue Blue Blue Blue Blue Gray Black Gray Black
Gray Gray Black Black Black Gray Black Black Black Gray Black Blue Blue Blue Blue Blue Blue Blue Black Gray Gray Black
Black Gray Gray Black Black Black Black Gray Gray Gray Black Blue Blue Blue Blue Blue Gray Gray Blue Gray Black Black
Black Black Gray Black Black Gray Gray Gray Black Gray Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Black Gray
Black Gray Gray Black Gray Gray Black Gray Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Gray Black Black Black Gray Blue Blue Blue Blue Black Gray Blue Blue Blue Blue Gray Black
Black Gray Gray Gray Gray Black Gray Black Black Black Blue Blue Blue Gray Gray Gray Gray Black Gray Black Gray Black
Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black Gray Gray Black
Black Black Gray Black Black Gray Black Black Gray Gray Gray Black Gray Black Black Gray Black Black Gray Gray Black Gray
Black Gray Black Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray
Gray Gray Black Gray Gray Black Black Gray Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Black
Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Black Gray
Black Gray Black Black Black Gray Black Black Black Black Black Gray Black Black Gray Black Black Black Black Gray Gray Black
Black Black Gray Black Black Black Gray Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Gray Black

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


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

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


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

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


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