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 Green Blue Blue Green Black Gray Blue Blue Black
Black Blue Blue Blue Blue Black Blue Green Gray Black
Black Black Blue Blue Black Black Blue Gray Green Gray
Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Blue Blue Blue Black Black Black
Green Black Black Black Blue Red Red Blue Black Black
Gray Gray Blue Black Blue Red Red Red Green Black
Gray Gray Blue Black Black Blue Red Green Green Black
Green Black Black Black Black Black Green Green Green Black
Black Black Black Black Black Black Black Black Black Black

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


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

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


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

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


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

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