Simplify Directory Path Problem Statement

You are provided with a directory path in Unix-style notation, and your task is to simplify it according to given rules.

In a Unix-style file system:

• A dot (.) refers to the current directory.
• A double dot (..) refers to the parent directory.
• Multiple slashes between directories should be treated as a single slash.

The simplified path must start with a slash (/) and have single slashes between directory names without having a trailing slash.

Example:

Input:

T = 2
path = "/a/./b/../../c/"
path = "/home//foo/"

Output:

"/c"
"/home/foo"

Explanation:

For the given input paths, after applying the simplification rules, the resulting paths are shown in the output.

Constraints:

• 1 <= T <= 100
• 0 <= N <= 10⁵ where N is the length of the input path.

Note that you do not need to print anything explicitly, as output formatting is handled. Just implement the function to return the simplified path.