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 Red Black Black Black Black Black
Black Black Red Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Red Black
Black Black Red Black Black Blue Blue Blue
Black Black Red Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple 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 2
Input:
Black Black Black Black Black Black Black
Black Green Black Black Black Black Black
Black Green Green Green Black Black Black
Black Green Black Black Black Black Black
Black Black Black Green Black Black Black
Black Black Black Green Green Green Black
Black Black Black Green Black Black Black

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

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


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

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