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

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


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

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


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

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


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