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 Black Black Black Black
Black Black Black Red Red Red
Black Black Black Red Black Black
Black Black Black Red Red Red

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


Example 2
Input:
Black Black Black Red Black Black
Black Black Red Red Black Black
Red Red Red Red Brown Brown
Black Black Black Red Brown Brown
Black Black Black Black Brown Brown
Black Black Black Black Brown Brown

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


Example 3
Input:
Yellow Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Purple Purple

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


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