Leetcodes Solution 32 Longest Valid Parentheses

zhuanlan.zhihu.com

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

For "(()", the longest valid parentheses substring is "()", which has length = 2.

Another example is ")()())", where the longest valid parentheses substring is "()()", which has length = 4.

思路1

1 Scan the string from beginning to end.

2 If current character is 『(』,

push its index to the stack. If current character is 『)』 and the

character at the index of the top of stack is 『(』, we just find a

matching pair so pop from the stack. Otherwise, we push the index of

』)』 to the stack.

3 After the scan is done, the stack will only

contain the indices of characters which cannot be matched. Then

let』s use the opposite side - substring between adjacent indices

should be valid parentheses.

4 If the stack is empty, the whole input

string is valid. Otherwise, we can scan the stack to get longest

valid substring as described in step 3.

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; }};

推薦閱讀：