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:
Yellow Yellow Yellow Yellow
Brown Green Yellow Red
Brown Green Orange Gray
Purple Purple Orange Orange

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


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

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


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

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


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


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