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 Orange Gray Gray Gray Black
Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue
Blue Blue Black Black Black Gray Green
Blue Blue Black Black Black Gray Green
Blue Blue Black Black Black Black Black

Output:
Black Black Orange Gray Gray Gray Black
Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black
Black Black Black Black Black Black Green
Blue Blue Black Black Black Gray Green
Blue Blue Black Black Black Gray Green
Blue Blue Black Black Black Black Black


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

Output:
Gray Gray Black Yellow Yellow
Black Black Black Yellow Yellow
Black Black Black Black Black
Brown Brown Black Brown Brown
Brown Black Black Black Black
Brown Brown Yellow Black Black


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

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


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