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:
Pink
Pink
Purple
Purple
Brown
Brown
Red
Red
Red
Black
Gray
Black
Black

Output:
Black
Black
Black
Pink
Pink
Purple
Purple
Brown
Brown
Red
Red
Red
Gray


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

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


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

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


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