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 Black Black Black Black Black Black Black Black Gray Black Brown
Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Brown Black Orange Black Black Black Black Black Orange Black
Black Black Black Red Pink Black Black Black Black Brown Black Black
Black Black Black Orange Black Black Black Black Black Black Green Black
Black Black Black Black Black Blue Black Orange Black Black Orange Black
Yellow Black Black Black Black Black Black Gray Black Black Yellow Black
Purple Black Black Black Pink Black Green Gray Black Black Black Purple

Output:
Purple


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

Output:
Purple


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

Output:
Purple


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


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:

```
Purple
```
assistant