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

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


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

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

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