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 Black Black Black Black Black Black Black Gray Black
Black Black Black Black Purple Purple Black Black Purple Purple Gray Black
Black Black Black Black Black Purple Black Black Black Black Gray Black
Black Purple Black Black Black Purple Purple Purple Black Black Purple Black
Black Purple Black Black Black Black Black Black Black Black Gray Black
Purple Black Purple Black Black Purple Black Black Black Purple Gray Black
Black Black Black Black Black Purple Black Purple Purple Black Gray Black
Black Purple Purple Black Purple Purple Black Black Purple Black Gray Black
Black Purple Black Black Black Black Black Black Purple Black Gray Black
Black Black Purple Purple Purple Black Black Black Black Black Gray Black
Black Black Purple Black Black Black Black Black Black Black Gray Black
Black Purple Black Black Black Purple Black Black Black Purple Gray Black
Black Purple Purple Black Black Black Black Black Black Black Purple Black
Black Black Black Black Purple Black Purple Black Black Black Black Black

Output:
Black Purple Purple Black Black Black Black Black Black Black


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

Output:
Purple Black Black Purple Purple Gray Black Black Black


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

Output:
Purple Black Black Purple Black Black Black Purple


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

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