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

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


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

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


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

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


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