32. 最长有效括号 Longest Valid Parentheses

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

Input: s = "(()"
Output: 2
Explanation: The longest valid parentheses substring is "()".

 

方法一：

动态规划

如果最右为‘(’,放弃

如果最右为‘）’，

     如果i-1为‘（’, dp[i] = dp[i-2] +2

     如果i-1为‘）’,且i - dp[i - 1] -1 为'('，dp[i]=dp[i - 1]+dp[i - dp[i - 1] -2] +2

 

public int longestValidParentheses(String s) {
        int maxans = 0;
        int [] dp = new int[s.length()];
        for(int i = 1; i < s.length(); i++){
            if(s.charAt(i) == ')'){
                if(s.charAt(i - 1) == '('){
                    dp[i] = i >= 2 ? (dp[i - 2] + 2) : 2;
                }else if(i - dp[i -1] > 0 && s.charAt(i - dp[i - 1] -1) == '('){
                    dp[i] = dp[i - 1] + ((i - dp[i - 1]) >= 2 ? dp[i - dp[i - 1] -2] : 0) + 2;
                }
                maxans = Math.max(maxans, dp[i]);
            }
        }
        return maxans;


    }

 

参考链接：

https://leetcode.com/problems/longest-valid-parentheses/

https://leetcode-cn.com/problems/longest-valid-parentheses