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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Blue Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Blue Blue Blue Black
Purple Purple Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue
Purple Purple Blue Purple Purple Purple Purple Purple Blue Purple Black Blue Blue Blue Black
Purple Purple Blue Purple Purple Purple Purple Purple Blue Purple Black Black Blue Black Black
Purple Purple Blue Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Blue Blue Blue Blue Blue Purple Black Black Blue Black Black
Purple Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Blue Blue Blue Black
Purple Blue Purple Purple Purple Purple Purple Blue Purple Purple Blue Blue Blue Blue Blue
Purple Blue Purple Purple Purple Purple Purple Blue Purple Purple Black Blue Blue Blue Black
Purple Blue Purple Purple Purple Purple Purple Blue Purple Purple Black Black Blue Black Black
Purple Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple

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


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

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


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

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


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