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


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

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


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


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:

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