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 Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black
Black Blue Black Blue Black Black Blue Black

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


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

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


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

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


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