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:
Yellow Yellow Yellow
Yellow Yellow Yellow
Yellow Yellow Yellow

Output:
Black Black Black Black Black Black Black
Black Red Red Red Red Red Yellow
Black Red Red Red Red Red Yellow
Black Red Red Red Red Red Yellow
Black Red Red Red Red Red Yellow
Black Red Red Red Red Red Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow


Example 2
Input:
Green Green Green
Green Green Green
Green Green Green

Output:
Black Black Black Black Black Black Black
Black Red Red Red Red Red Green
Black Red Red Red Red Red Green
Black Red Red Red Red Red Green
Black Red Red Red Red Red Green
Black Red Red Red Red Red Green
Black Green Green Green Green Green Green


Example 3
Input:
Gray Gray Gray
Gray Gray Gray
Gray Gray Gray

Output:
Black Black Black Black Black Black Black
Black Red Red Red Red Red Gray
Black Red Red Red Red Red Gray
Black Red Red Red Red Red Gray
Black Red Red Red Red Red Gray
Black Red Red Red Red Red Gray
Black Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Purple Purple Purple
Purple Purple Purple
Purple Purple Purple


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