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

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


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

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


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

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


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


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