71. Simplify Path

1. Description

You are given an absolute path for a Unix-style file system, which always begins with a slash ‘/’. Your task is to transform this absolute path into its simplified canonical path.
The rules of a Unix-style file system are as follows:

  • A single period ‘.’ represents the current directory.
  • A double period ‘..’ represents the previous/parent directory.
  • Multiple consecutive slashes such as ‘//’ and ‘///’ are treated as a single slash ‘/’.
  • Any sequence of periods that does not match the rules above should be treated as a valid directory or file name. For example, ‘…’ and ‘….’ are valid directory or file names.

The simplified canonical path should follow these rules:

  • The path must start with a single slash ‘/’.
  • Directories within the path must be separated by exactly one slash ‘/’.
  • The path must not end with a slash ‘/’, unless it is the root directory.
  • The path must not have any single or double periods ('.' and ‘..') used to denote current or parent directories.

Return the simplified canonical path.

2. Example

Example 1

Input: path = “/home/”
Output: “/home”
Explanation:
The trailing slash should be removed.

Example 2

Input: path = “/home//foo/”
Output: “/home/foo”
Explanation:
Multiple consecutive slashes are replaced by a single one.

Example 3

Input: path = “/home/user/Documents/../Pictures”
Output: “/home/user/Pictures”
Explanation:
A double period “..” refers to the directory up a level (the parent directory).

Example 4

Input: path = “/../”
Output: “/”
Explanation:
Going one level up from the root directory is not possible.

Example 5

Input: path = “/…/a/../b/c/../d/./”
Output: “/…/b/d”
Explanation:
“…” is a valid name for a directory in this problem.

3. Constraints

  • 1 <= path.length <= 3000
  • path consists of English letters, digits, period ‘.’, slash ‘/’ or ‘_’.
  • path is a valid absolute Unix path.

4. Solutions

Stack

n = path.size()
Time complexity: O(n)
Space complexity: O(n)

class Solution {
public:
    string simplifyPath(const string &path) {
        const int n = path.size();
        int start = 0, pos = 0;
        vector<string> path_segments;
        while (start < n) {
            pos = path.find('/', start);
            auto path_segment =
                pos != string::npos ? path.substr(start, pos - start) : path.substr(start);
            start = pos != string::npos ? pos + 1 : n;

            if (path_segment.empty() || path_segment == ".") {
                continue;
            } else if (path_segment == "..") {
                if (!path_segments.empty()) {
                    path_segments.pop_back();
                }
            } else {
                path_segments.push_back(move(path_segment));
            }
        }

        string simple_path;
        simple_path.reserve(n);
        for (auto &p : path_segments) {
            simple_path += "/";
            simple_path += p;
        }

        return simple_path.empty() ? "/" : simple_path;
    }
};
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