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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Yellow Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Purple Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Purple Black Purple Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Purple Black Yellow Black Black Black Black Black Purple Yellow Black Black Purple Black 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 Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Purple Purple Black Black Black Yellow Black Purple Black Black Black

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


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

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow


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

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


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

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