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 Purple Black Purple Black Black Purple Black Black Black
Black Black Purple Yellow Yellow Black Black Yellow Black Black Black Black Black Black Black
Purple Black Black Black Purple Purple Yellow Purple Black Yellow Black Black Purple Yellow Yellow
Black Black Black Black Black Black Purple Black Purple Black Purple Black Yellow Purple Black
Black Black Black Black Yellow Blue Blue Blue Yellow Black Yellow Black Yellow Black Yellow
Purple Purple Purple Black Yellow Blue Yellow Blue Yellow Yellow Purple Yellow Black Black Black
Black Black Purple Purple Purple Blue Purple Blue Purple Yellow Black Black Black Black Black
Purple Black Black Black Purple Blue Black Blue Yellow Black Purple Black Black Black Purple
Black Black Black Black Black Blue Blue Blue Black Black Black Purple Black Black Black
Black Black Purple Black Black Black Black Black Purple Purple Black Yellow Black Black Yellow
Purple Black Purple Black Yellow Purple Purple Black Black Black Black Black Purple Black Black
Yellow Yellow Black Black Yellow Black Yellow Black Black Yellow Black Black Black Black Black
Black Yellow Yellow Black Black Yellow Black Black Purple Yellow Black Black Black Yellow Yellow

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


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

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


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

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


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

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