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


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 Yellow Yellow Orange Orange Orange Red Red
Blue Pink Purple Green Orange Orange Orange Orange
Orange Blue Orange Green Orange Blue Orange Green
Orange Orange Orange Orange Blue Pink Purple Green
Orange Orange Red Red Blue Yellow Yellow Orange


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


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