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 Blue Red Black
Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Black
Black Black Green Black Black Black Black Black
Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Yellow Yellow Black
Black Black Black Black Yellow Yellow Black Black

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


Example 2
Input:
Black Black Blue Yellow Red Yellow Green
Black Black Blue Black Black Black Black
Black Green Black Black Black Black Black
Black Black Black Green Green Black Blue
Yellow Black Black Black Black Black Blue
Black Black Yellow Red Black Black Green
Black Black Yellow Black Red Black Black

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


Example 3
Input:
Black Black Black Black Black Black Black Black Yellow
Blue Black Red Black Black Black Black Black Black
Black Blue Black Black Black Black Black Red Black
Black Black Black Green Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Blue Black

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


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

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