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

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


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

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


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

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


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


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