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:
Purple
Orange
Pink
Yellow
Pink
Brown

Output:
Purple Brown
Orange Pink
Pink Yellow
Yellow Pink
Pink Orange
Brown Purple


Example 2
Input:
Pink
Orange
Yellow
Blue
Red

Output:
Pink Red
Orange Blue
Yellow Yellow
Blue Orange
Red Pink


Example 3
Input:
Orange
Gray
Brown
Yellow
Yellow

Output:
Orange Yellow
Gray Yellow
Brown Brown
Yellow Gray
Yellow Orange


Here is the input grid for the test example:
Input:
Gray
Pink
Gray
Green
Pink
Brown
Gray


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 Gray
Pink Brown
Gray Pink
Green Green
Pink Gray
Brown Pink
Gray Gray
```
assistant