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 Brown Brown Black Black Black Black Black Black Brown Brown Black Brown
Black Black Black Black Brown Black Black Black Black Black Purple Black Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black Brown Black Black Brown
Black Black Black Black Black Brown Brown Black Brown Black Black Black Black
Black Black Black Black Black Black Purple Purple Brown Black Black Black Black
Black Black Black Black Black Brown Purple Purple Black Black Black Black Black
Black Black Black Black Black Brown Black Brown Brown Black Black Black Black
Black Brown Black Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Black
Black Black Black Purple Black Black Black Black Black Brown Purple Purple Black
Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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

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


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

Output:
Black Black Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Purple Black Black Black Black Black Black Black
Black Black Black Black Red Black Red Black Black Black Blue Blue Black Black
Black Black Blue Blue Black Black Black Purple Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Red Black Purple Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Red Black Black Black Black
Blue Black Black Black Purple Black Blue Blue Blue Blue Blue Black Black Black
Black Black Purple Black Purple Black Purple Black Black Black Purple Black Purple Black
Black Black Black Blue Blue Blue Black Black Black Blue Blue Black Black Black
Black Blue Blue Blue Purple Blue Blue Blue Black Blue Blue Blue Blue Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue 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
Black Purple Blue Black Pink Black Black Black Black Purple Blue Brown Black Black
Black Black Blue Black Black Black Black Black Black Black Black Gray Black Black
Black Black Black Gray Black Black Black Black Black Purple Blue Black Black Black
Black Purple Blue Black Pink Black Black Black Black Black Blue Black Pink Black
Black Black Black Black Black Purple Blue Brown Pink Black Black Black Black Black
Black Black Black Black Black Purple Blue Gray Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Gray Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Brown Pink Black Black Black Black Black
Black Purple Black Brown Pink Black Black Black Black Black Black Brown Black Black
Black Purple Black Gray Black Black Black Black Black Purple Blue Gray Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Blue Black Black Black Black Black Black Purple Blue Brown 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 Purple Blue Black Pink Black Black Black Black Purple Blue Brown Black Black
Brown Purple Purple Blue Pink Pink Black Black Black Purple Purple Blue Brown Black
Gray Black Blue Blue Black Black Black Black Black Purple Blue Gray Gray Black
Black Purple Blue Gray Gray Black Black Black Black Purple Purple Blue Pink Black
Black Pink Purple Blue Pink Pink Blue Brown Pink Black Blue Blue Pink Pink
Black Black Black Black Black Purple Purple Blue Brown Pink Black Black Black Black
Black Black Black Black Black Purple Purple Blue Gray Black Black Black Black Black
Black Black Black Black Black Purple Purple Blue Gray Black Black Black Black Black
Black Purple Black Brown Pink Purple Purple Blue Brown Pink Black Brown Black Black
Brown Purple Purple Gray Brown Pink Black Black Black Purple Blue Gray Brown Black
Gray Purple Purple Gray Gray Black Black Black Black Purple Purple Blue Gray Black
Black Purple Blue Black Black Black Black Black Black Purple Purple Brown Black Black
Brown Purple Purple Blue Pink Black Black Black Black Purple Purple Blue Brown Black
Black Black Blue Black Black Black Black Black Black Black Black Gray Black Black
```
assistant