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 Yellow Black Blue Black Black Black Purple
Black Blue Blue Gray Black Black Black Blue
Blue Black Green Black Purple Black Black Black
Yellow Black Black Black Yellow Yellow Yellow Purple
Black Black Black Black Black Black Black Black
Black Black Blue Black Black Blue Black Black
Black Black Black Black Black Gray Blue Gray
Black Black Green Black Black Black Black Black

Output:
Black Red Black Blue Black Black Black Purple
Black Blue Blue Gray Black Black Black Blue
Blue Black Green Black Purple Black Black Black
Red Black Black Black Red Red Red Purple
Black Black Black Black Black Black Black Black
Black Black Blue Black Black Blue Black Black
Black Black Black Black Black Gray Blue Gray
Black Black Green Black Black Black Black Black


Example 2
Input:
Black Black Red Black Black Black Gray
Red Black Black Black Black Black Purple
Black Black Black Black Black Black Blue
Black Black Yellow Red Black Black Yellow
Black Black Black Gray Blue Blue Black
Black Black Green Blue Black Black Black
Yellow Green Red Black Black Black Black

Output:
Black Black Red Black Black Black Gray
Red Black Black Black Black Black Purple
Black Black Black Black Black Black Blue
Black Black Red Red Black Black Red
Black Black Black Gray Blue Blue Black
Black Black Green Blue Black Black Black
Red Green Red Black Black Black Black


Example 3
Input:
Black Gray Black Black Gray Black Black Black Black
Black Black Gray Purple Black Black Purple Black Black
Black Black Black Black Black Black Black Black Yellow
Gray Black Blue Black Black Black Black Black Purple
Black Red Black Black Black Black Black Gray Purple
Purple Black Green Black Black Gray Red Black Gray
Blue Black Black Black Black Yellow Purple Black Black

Output:
Black Gray Black Black Gray Black Black Black Black
Black Black Gray Purple Black Black Purple Black Black
Black Black Black Black Black Black Black Black Red
Gray Black Blue Black Black Black Black Black Purple
Black Red Black Black Black Black Black Gray Purple
Purple Black Green Black Black Gray Red Black Gray
Blue Black Black Black Black Red Purple Black Black


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