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

Output:
Gray


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

Output:
Gray


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

Output:
Gray


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