1. 题目

给你一个只包含 '('')' 的字符串,找出最长有效(格式正确且连续)括号子串的长度。

示例 1
输入:s = "(()"
输出:2
解释:最长有效括号子串是 "()"

示例 2
输入:s = ")()())"
输出:4
解释:最长有效括号子串是 "()()"

示例 3
输入:s = ""
输出:0

提示:
0 <= s.length <= 3 * 104
s[i] 为 '('')'

2. 题解

2.1 使用栈的方式

class Solution:
def longestValidParentheses(self, s: str) -> int:
# 使用栈的方式计算
stack = [-1]
length = 0
max_length = 0
for i in range(len(s)):
if s[i] == "(":
stack.append(i)
else:
stack.pop()
if not stack:
stack.append(i) # 这个地方做分割
else:
length = i - stack[-1]
max_length = max(length, max_length)

return

2.2 正向逆向相结合

class Solution:
# 正向逆向相结合
def longestValidParentheses(self, s: str) -> int:
n, left, right, max_length = len(s), 0, 0, 0
# 正序遍历
for i in range(n):
if s[i] == "(":
left += 1
else:
right += 1
if left == right:
max_length = max(max_length, 2 * left)
elif right > left:
left = right = 0

# 逆序遍历
left = right = 0
for i in range(n - 1, -1, -1):
if s[i] == ")":
right += 1
else:
left += 1

if left == right:
max_length = max(max_length, 2 * left)
elif left > right:
left = right = 0
return