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 Green Gray Green Gray Gray Green Green Gray Gray Green Green
Gray Gray Green Green Green Green Green Green Green Gray Gray Gray
Green Gray Green Green Gray Green Green Green Green Green Gray Green
Gray Green Gray Green Green Gray Gray Green Gray Gray Green Green
Green Green Gray Green Gray Green Green Gray Gray Green Gray Green
Gray Gray Gray Gray Green Green Gray Gray Gray Green Gray Green
Green Green Gray Gray Green Green Green Green Gray Green Green Green
Gray Green Gray Gray Green Green Green Gray Gray Gray Green Green
Green Green Gray Gray Green Gray Green Gray Gray Gray Gray Gray
Green Green Gray Green Gray Green Green Gray Gray Gray Gray Green
Green Green Green Gray Green Gray Green Green Green Gray Green Green
Gray Gray Green Green Gray Green Green Gray Gray Gray Gray Green

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black
Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray
Black Gray Black Black Gray Black Black Black Black Black Gray Black
Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Black
Black Black Gray Black Gray Black Black Gray Gray Black Gray Black
Gray Gray Gray Gray Black Black Gray Gray Gray Black Gray Black
Black Black Gray Gray Black Black Black Black Gray Black Black Black
Gray Black Gray Gray Black Black Black Gray Gray Gray Black Black
Black Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray
Black Black Gray Black Gray Black Black Gray Gray Gray Gray Black
Black Black Black Gray Black Gray Black Black Black Gray Black Black


Example 2
Input:
Purple Brown Purple Purple Purple Purple Purple Purple Brown Purple Brown Brown Brown Brown
Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown
Purple Purple Brown Brown Purple Purple Purple Brown Purple Brown Brown Purple Brown Purple
Brown Brown Brown Purple Purple Purple Brown Purple Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Purple Brown Purple Brown Purple Brown Purple Brown Brown Brown
Brown Brown Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Purple Brown
Brown Purple Purple Purple Brown Brown Purple Purple Purple Brown Purple Purple Purple Purple
Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Purple Purple Purple
Brown Brown Purple Brown Brown Brown Brown Brown Purple Brown Brown Purple Brown Purple
Brown Purple Brown Brown Purple Brown Purple Purple Purple Purple Brown Brown Brown Brown
Purple Purple Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown Purple Purple
Purple Purple Brown Purple Purple Brown Purple Brown Purple Purple Brown Purple Brown Purple
Brown Purple Brown Purple Purple Purple Brown Purple Brown Brown Brown Brown Purple Brown
Brown Brown Purple Brown Brown Purple Purple Purple Brown Purple Purple Brown Brown Brown

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


Example 3
Input:
Gray Red Red Red Red Red Gray Red Gray Gray Gray
Red Gray Red Gray Red Red Red Gray Gray Gray Gray
Gray Gray Red Red Gray Gray Red Red Gray Gray Gray
Gray Gray Gray Gray Red Red Red Red Gray Gray Gray
Red Red Red Gray Red Gray Gray Red Gray Gray Gray
Gray Red Red Red Red Gray Gray Gray Gray Gray Gray
Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

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


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


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