Longest Valid Parentheses
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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.
stack是解这种valid pari的不二法宝。。。
1. 维护一个stack, 只存 ‘(’ 的index
2. 同时维护一个start,记录最开始有效的位子。
3. 每遇到‘)’,如果stk不为空 pop 并求最长 (根据是否为空) , 如果为空,那么不是valid, 更新 start.
O(n)
class Solution {public: int longestValidParentheses(string s) { int len=s.size(); int maxLen=0, start=0; stack<int> stk; for (int i=0; i<len; i++){ if (s[i]=='(') stk.push(i); else{ if (stk.empty()){ start=i+1; } else{ stk.pop(); maxLen=max(maxLen, stk.empty()? i-start+1: i-stk.top()); } } } return maxLen; }};
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