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 Brown
Brown Purple Brown
Brown Brown Brown

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Brown Green Brown
Brown Gray Brown
Brown Gray Brown

Output:
Brown Gray Brown Brown Brown Brown Brown Green Brown
Brown Gray Brown Green Gray Gray Brown Gray Brown
Brown Green Brown Brown Brown Brown Brown Gray Brown
Brown Brown Brown Brown Gray Brown Brown Brown Brown
Gray Gray Green Brown Gray Brown Green Gray Gray
Brown Brown Brown Brown Green Brown Brown Brown Brown
Brown Green Brown Brown Brown Brown Brown Gray Brown
Brown Gray Brown Gray Gray Green Brown Gray Brown
Brown Gray Brown Brown Brown Brown Brown Green Brown


Example 3
Input:
Pink Pink Pink
Pink Brown Pink
Red Blue Yellow

Output:
Yellow Blue Red Pink Pink Yellow Pink Pink Pink
Pink Brown Pink Pink Brown Blue Pink Brown Pink
Pink Pink Pink Pink Pink Red Red Blue Yellow
Red Pink Pink Yellow Blue Red Pink Pink Yellow
Blue Brown Pink Pink Brown Pink Pink Brown Blue
Yellow Pink Pink Pink Pink Pink Pink Pink Red
Pink Pink Pink Red Pink Pink Yellow Blue Red
Pink Brown Pink Blue Brown Pink Pink Brown Pink
Red Blue Yellow Yellow Pink Pink Pink Pink Pink


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


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