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 Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray
Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray
Pink Pink Orange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown
Pink Pink Orange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown
Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray
Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray

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


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

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


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

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


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


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:

```
Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue
Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Brown Brown Brown Brown Red Red Yellow Yellow
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Brown Brown Brown Brown Red Red Yellow Yellow
Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue
Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue
```
assistant