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:
Black Purple Black Purple Black
Purple Black Black Gray Gray
Purple Black Purple Gray Gray
Black Purple Black Purple Black
Black Black Gray Gray Black
Black Black Gray Gray Purple

Output:
Gray


Example 2
Input:
Black Black Purple Black Black Black
Purple Gray Gray Black Black Purple
Black Gray Gray Purple Gray Gray
Black Purple Purple Purple Gray Gray
Black Black Black Purple Black Black
Black Black Black Purple Purple Black

Output:
Gray


Example 3
Input:
Black Purple Black Black Black Purple
Gray Gray Black Black Purple Black
Gray Gray Purple Gray Gray Black
Black Black Black Gray Gray Black
Purple Black Black Black Black Purple
Black Purple Purple Black Black Black

Output:
Gray


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


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