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

Output:
Purple Purple Green Green Orange Orange
Purple Purple Green Green Orange Orange
Brown Brown Gray Pink Purple Purple
Brown Brown Gray Green Purple Purple


Example 2
Input:
Pink Green Gray Yellow
Pink Gray Orange Purple
Brown Yellow Purple Gray
Gray Green Purple Orange
Blue Yellow Yellow Purple

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


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

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


Here is the input grid for the test example:
Input:
Brown Pink Gray
Brown Blue Yellow
Gray Blue Orange


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:

```
Pink Pink Gray
Pink Blue Yellow
Blue Yellow Yellow
```
assistant