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

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


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

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


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

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


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