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

Output:
Black Black Black Black Black Black Blue Purple
Black Black Black Black Blue Black Green Blue
Green Black Black Blue Purple Blue Black Black
Black Black Black Black Blue Black Black Black
Blue Black Black Black Black Black Blue Black
Purple Blue Green Black Black Blue Purple Blue
Blue Black Green Black Black Black Blue Black
Black Black Black Black Black Black Black Green
Blue Black Black Black Blue Black Black Black
Purple Blue Black Blue Purple Blue Black Black
Blue Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black


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

Output:
Black Black Blue Black Blue Green Black
Black Blue Purple Blue Purple Blue Black
Green Black Blue Purple Blue Black Black
Black Green Black Blue Black Black Black
Black Black Green Black Black Black Black
Green Black Black Black Black Black Black
Black Black Black Black Black Black Black
Black Black Black Black Black Black Black
Green Black Black Black Black Black Black
Black Black Black Black Black Black Black


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

Output:
Black Blue Black Blue Purple Blue Black
Blue Purple Blue Black Blue Green Black
Blue Blue Black Black Blue Purple Blue
Purple Blue Black Blue Black Blue Black
Blue Black Blue Purple Blue Purple Blue
Black Black Black Blue Purple Blue Black
Black Black Black Black Blue Black Black
Black Black Blue Green Black Black Black
Black Blue Purple Blue Green Black Black
Blue Black Blue Black Black Black Black
Purple Blue Black Black Black Black Black


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


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 Green Black Black Black
Blue Black Black Black Blue Purple Blue Black Blue
Purple Blue Black Black Black Blue Black Blue Purple
Blue Black Green Black Blue Purple Blue Black Blue
Black Black Black Black Black Blue Black Black Green
Black Black Black Black Black Black Black Blue Purple
Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green
```
assistant