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:
Gray Black Black Gray Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Gray Gray Black
Gray Gray Gray Gray Black Black Gray Gray Gray Black
Black Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black

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


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

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


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

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


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