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
Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow
Black Yellow Yellow Blue Blue Black Black Yellow Yellow Yellow
Black Black Black Blue Blue Blue Black Yellow Black Yellow
Yellow Yellow Black Blue Blue Black Black Yellow Black Yellow
Yellow Yellow Blue Black Black Yellow Yellow Black Blue Blue
Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue
Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue
Black Black Blue Blue Blue Blue Yellow Black Blue Blue

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


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

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


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

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


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

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