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

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


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

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


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

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


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

```
Brown Brown Brown
Green Green Green
Red Red Red
```
assistant