LeetCode-032 Longest Valid Parentheses

Description

Given a string containing just the characters ‘(’ and ‘)’, find the length of the longest valid (well-formed) parentheses substring.

Example

Example 1:

Input: “(()”
Output: 2
Explanation: The longest valid parentheses substring is “()”

Example 2:

Input: “)()())”
Output: 4
Explanation: The longest valid parentheses substring is “()()”

Analyse

題目就是題意，要求你找出最長的有效括號對，並輸出其長度。我們可以通過棧的形式去匹配括號，在匹配的同時，要是有不滿足匹配的括號情況出現，將其位置留在棧中，那麼兩個位置之間長度即是我們有效匹配括號對的長度，然後在其之中找出最長的即可。

Code

class Solution {
public:
    int longestValidParentheses(string s) {
        int n = s.length(), longest = 0;
        stack<int> st;
        for (int i = 0; i < n; i++) {
            if (s[i] == '(') st.push(i);
            else {
                if (!st.empty()) {
                    if (s[st.top()] == '(') st.pop();
                    else st.push(i);
                }
                else st.push(i);
            }
        }
        if (st.empty()) longest = n;
        else {
            int a = n, b = 0;
            while (!st.empty()) {
                b = st.top(); st.pop();
                longest = max(longest, a - b - 1);
                a = b;
            }
            longest = max(longest, a);
        }
        return longest;
    }
};