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

Output:
Blue


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

Output:
Red


Example 3
Input:
Black Green Green Black Orange Orange
Black Green Green Black Orange Orange
Black Black Black Black Pink Pink
Black Black Black Black Pink Pink
Black Black Black Black Black Black
Blue Blue Black Yellow Yellow Black
Blue Blue Black Yellow Yellow Black

Output:
Orange
Black
Black
Black


Here is the input grid for the test example:
Input:
Black Black Black Black Black Pink Pink Purple Purple
Purple Purple Black Black Black Pink Pink Purple Purple
Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Black Black Black Black
Black Black Black Orange Orange Black Black Black Black
Purple Purple Black Black Blue Blue Black Black Black
Purple Purple Black Black Blue Blue Black Black Black
Black Black Black Black Black Black 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:

```
Black
Black
Black
Black
Purple
```
assistant