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

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


Example 2
Input:
Black Red Black Black Red Black Blue Black Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Blue Black Black Red Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Blue Black Black Black
Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Blue Black Blue Black Black
Red Black Black Blue Black Black Black Black Red Black

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


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

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


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


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