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 Brown Brown Black Black
Black Black Black Black Black Black Brown Brown 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 Black Black Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Black Orange Orange
Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black

Output:
Brown
Purple
Orange
Yellow


Example 2
Input:
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 Black Black Black Black Black
Blue Blue Black Black Green Green Black Black Gray Gray
Blue Blue Black Black Green Green Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black

Output:
Blue
Green
Gray
Pink
Purple


Example 3
Input:
Black Blue Black Black Black Black Black Black Pink Pink
Black Blue Blue Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Gray Gray Black
Black Black Orange Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Blue
Pink
Purple
Gray
Orange


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

```
Purple
Orange
Gray
```
assistant