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:
Pink Pink Green Green
Pink Pink Green Green
Red Red Purple Purple
Red Red Purple Purple

Output:
Gray Gray Yellow Yellow
Gray Gray Yellow Yellow
Blue Blue Brown Brown
Blue Blue Brown Brown


Example 2
Input:
Red Red Purple Purple
Red Red Purple Purple
Pink Pink Green Green
Pink Pink Green Green

Output:
Blue Blue Brown Brown
Blue Blue Brown Brown
Gray Gray Yellow Yellow
Gray Gray Yellow Yellow


Example 3
Input:
Red Red Purple Purple
Red Red Purple Purple
Green Green Pink Pink
Green Green Pink Pink

Output:
Blue Blue Brown Brown
Blue Blue Brown Brown
Yellow Yellow Gray Gray
Yellow Yellow Gray Gray


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

```
Yellow Yellow Blue Blue
Yellow Yellow Blue Blue
Brown Brown Gray Gray
Brown Brown Gray Gray
```
assistant