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 Pink Yellow Purple
Black Brown Pink Black
Black Black Orange Black
Yellow Black Blue Orange

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


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

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


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

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


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