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:
Brown Orange Green Black Black
Pink Black Black Black Orange
Black Black Red Black Black
Brown Orange Yellow Purple Yellow
Pink Black Black Green Orange
Black Black Blue Purple Black

Output:
Black Black Blue Purple Black
Pink Black Black Green Orange
Brown Orange Yellow Purple Yellow
Black Black Red Black Black
Pink Black Black Black Orange
Brown Orange Green Black Black


Example 2
Input:
Red Brown Green Purple Black Black
Black Brown Black Blue Purple Black
Red Black Orange Orange Blue Black
Black Black Pink Black Black Pink
Black Brown Purple Black Blue Gray

Output:
Black Brown Purple Black Blue Gray
Black Black Pink Black Black Pink
Red Black Orange Orange Blue Black
Black Brown Black Blue Purple Black
Red Brown Green Purple Black Black


Example 3
Input:
Gray Black Black Black Orange Black
Pink Purple Gray Black Black Black
Blue Green Orange Black Black Black
Black Yellow Black Brown Black Yellow
Red Black Gray Brown Blue Blue
Black Black Brown Black Black Brown

Output:
Black Black Brown Black Black Brown
Red Black Gray Brown Blue Blue
Black Yellow Black Brown Black Yellow
Blue Green Orange Black Black Black
Pink Purple Gray Black Black Black
Gray Black Black Black Orange Black


Here is the input grid for the test example:
Input:
Black Black Purple Black
Black Gray Black Pink
Black Black Orange Black
Gray Blue Black Yellow


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:

```
Gray Blue Black Yellow
Black Black Orange Black
Black Gray Black Pink
Black Black Purple Black
```
assistant