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 Black Black Gray Black Black Black Black Black Black
Gray Purple Purple Gray Black Black Black Purple Purple Black
Gray Gray Gray Gray Black Black Purple Purple Purple Black
Black Purple Purple Black Black Black Purple Purple Purple Black
Purple Purple Purple Black Black Black Black Purple Purple Brown
Black Purple Purple Black Brown Blue Brown Black Blue Purple
Blue Blue Purple Black Blue Blue Gray Black Blue Purple
Brown Purple Purple Purple Blue Blue Gray Black Black Brown
Brown Purple Purple Purple Brown Blue Brown Black Black Black
Blue Blue Purple Black Black Black Black Black Black Black

Output:
Green Black Black Green Black Black Black Black Black Black
Green Red Red Green Black Black Black Red Red Black
Green Green Green Green Black Black Red Red Red Black
Black Red Red Black Black Black Red Red Red Black
Red Red Red Black Black Black Black Red Red Red
Black Red Red Black Red Red Red Black Red Red
Red Red Red Black Red Red Red Black Red Red
Red Red Red Red Red Red Red Black Black Brown
Red Red Red Red Red Red Red Black Black Black
Red Red Red Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Gray Blue Gray
Black Black Black Black Blue Blue Black Gray Brown Black
Black Purple Purple Black Blue Blue Black Gray Brown Black
Black Purple Purple Black Purple Purple Black Gray Blue Gray
Black Brown Brown Brown Purple Purple Black Blue Blue Black
Black Brown Black Brown Black Black Blue Blue Blue Blue
Black Brown Blue Brown Black Black Blue Black Black Blue
Black Blue Black Blue Black Gray Gray Black Black Black
Black Black Black Black Black Blue Blue Black Black Black
Black Black Black Black Black Gray Gray Black Black Black

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


Example 3
Input:
Blue Purple Purple Blue Black Black Black Black Blue Blue
Blue Gray Gray Blue Black Black Black Black Purple Brown
Black Black Black Purple Purple Purple Purple Black Purple Brown
Black Black Black Purple Purple Purple Purple Black Blue Blue
Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Gray Blue Blue Gray Purple Black Black
Black Black Purple Blue Blue Black Purple Purple Purple Black
Black Black Blue Gray Blue Black Purple Purple Black Purple
Black Black Blue Blue Black Black Purple Blue Blue Purple
Black Black Black Black Black Black Purple Blue Blue Purple

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


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

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