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 Orange
Green Green Blue Blue Orange Gray
Red Orange Blue Blue Blue Blue
Brown Blue Blue Gray Yellow Yellow

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


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

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


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 Yellow Yellow Brown Brown
Pink Pink Brown Brown Red
Gray Red Green Green Orange
Red Red Green Yellow Brown
Pink Gray Green Brown Purple


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 Yellow Yellow
Yellow Yellow Purple
Gray Orange Green
```
assistant