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 Yellow Black Yellow Yellow Yellow Yellow Black
Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Yellow Yellow Yellow Black Black
Yellow Black Yellow Yellow Yellow Yellow Black Black
Black Yellow Black Yellow Black Black Black Black
Yellow Yellow Yellow Black Yellow Yellow Black Yellow
Black Black Black Yellow Black Yellow Black Black

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


Example 2
Input:
Black Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Black Yellow
Black Yellow Yellow Yellow Yellow Black Yellow
Black Yellow Yellow Black Black Black Yellow

Output:
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Yellow Yellow
Black Black Black Yellow Black Black Black
Black Yellow Black Black Yellow Black Black
Black Black Black Black Black Yellow Yellow
Black Yellow Black Yellow Yellow Yellow Yellow
Black Yellow Yellow Black Yellow Yellow Yellow
Black Yellow Black Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Black Black Black Black
Black Yellow Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Yellow Black Black Black Yellow Black Black Black Black
Yellow Black Yellow Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Yellow
Yellow Yellow Black Yellow Yellow Black Black Black Black
Yellow Black Yellow Yellow Yellow Black Yellow Black Black
Black Black Yellow Yellow Black Black Yellow Yellow Black
Yellow Yellow Yellow Yellow Black Black Black Black Yellow
Black Black Yellow Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Black Yellow 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:

```
Purple Black Black Black Yellow Black Black Black Black
Purple Black Yellow Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Yellow
Purple Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Purple Black Purple Purple Black
Purple Purple Purple Purple Purple Black Purple Purple Black
Purple Purple Purple Purple Purple Black Black Black Yellow
Purple Purple Purple Purple Purple Yellow Black Yellow Black
Purple Purple Purple Purple Purple Black Yellow Black Black
```
assistant