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

Output:
Purple


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

Output:
Pink


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

Output:
Orange


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


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
```
assistant