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 Brown Pink Pink Orange
Green Green Blue Blue Gray
Red Orange Blue Blue Blue
Brown Blue Blue Gray Blue

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


Example 2
Input:
Orange Orange Red Red
Orange Orange Orange Orange
Orange Blue Orange Green
Blue Pink Purple Green
Blue Yellow Yellow Orange

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


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

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


Here is the input grid for the test example:
Input:
Purple Blue Pink
Yellow Blue Blue
Red Pink Blue


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:

```
Purple Blue Pink
Yellow Blue Blue
Red Pink Blue
Pink Blue Purple
Blue Blue Yellow
Blue Pink Red
```
assistant