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

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


Example 2
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
Purple Purple Purple Purple Black Black Black Black
Blue Blue Blue Blue Black Black Black Black
Blue Blue Blue Blue Black Black Black Black
Purple Purple Purple Purple Black Black Black Black

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


Example 3
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 Pink Black Black Black Black
Black Green Black Pink Black Black Black Black
Red Red Brown Pink Black Black Black Black
Black Red Pink Pink Black Black Black Black

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


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

```
Purple Purple Black Purple Purple Purple Purple Black Purple Purple
Blue Purple Blue Purple Blue Blue Purple Blue Purple Blue
Blue Gray Black Gray Blue Blue Gray Black Gray Blue
Gray Black Black Black Gray Gray Black Black Black Gray
Blue Blue Black Blue Blue Blue Blue Black Blue Blue
Purple Purple Black Purple Purple Purple Purple Black Purple Purple
Blue Purple Blue Purple Blue Blue Purple Blue Purple Blue
Blue Gray Black Gray Blue Blue Gray Black Gray Blue
Gray Black Black Black Gray Gray Black Black Black Gray
Blue Blue Black Blue Blue Blue Blue Black Blue Blue
```
assistant