{ "data": { "question": { "questionId": "1737", "questionFrontendId": "1614", "categoryTitle": "Algorithms", "boundTopicId": 439873, "title": "Maximum Nesting Depth of the Parentheses", "titleSlug": "maximum-nesting-depth-of-the-parentheses", "content": "
A string is a valid parentheses string (denoted VPS) if it meets one of the following:
\n\n""
, or a single character not equal to "("
or ")"
,AB
(A
concatenated with B
), where A
and B
are VPS's, or(A)
, where A
is a VPS.We can similarly define the nesting depth depth(S)
of any VPS S
as follows:
depth("") = 0
depth(C) = 0
, where C
is a string with a single character not equal to "("
or ")"
.depth(A + B) = max(depth(A), depth(B))
, where A
and B
are VPS's.depth("(" + A + ")") = 1 + depth(A)
, where A
is a VPS.For example, ""
, "()()"
, and "()(()())"
are VPS's (with nesting depths 0, 1, and 2), and ")("
and "(()"
are not VPS's.
Given a VPS represented as string s
, return the nesting depth of s
.
\n
Example 1:
\n\n\nInput: s = "(1+(2*3)+((8)/4))+1"\nOutput: 3\nExplanation: Digit 8 is inside of 3 nested parentheses in the string.\n\n\n
Example 2:
\n\n\nInput: s = "(1)+((2))+(((3)))"\nOutput: 3\n\n\n
\n
Constraints:
\n\n1 <= s.length <= 100
s
consists of digits 0-9
and characters '+'
, '-'
, '*'
, '/'
, '('
, and ')'
.s
is a VPS.如果字符串满足以下条件之一,则可以称之为 有效括号字符串(valid parentheses string,可以简写为 VPS):
\n\n\"\"
,或者是一个不为 \"(\"
或 \")\"
的单字符。AB
(A
与 B
字符串连接),其中 A
和 B
都是 有效括号字符串 。(A)
,其中 A
是一个 有效括号字符串 。类似地,可以定义任何有效括号字符串 S
的 嵌套深度 depth(S)
:
depth(\"\") = 0
depth(C) = 0
,其中 C
是单个字符的字符串,且该字符不是 \"(\"
或者 \")\"
depth(A + B) = max(depth(A), depth(B))
,其中 A
和 B
都是 有效括号字符串depth(\"(\" + A + \")\") = 1 + depth(A)
,其中 A
是一个 有效括号字符串例如:\"\"
、\"()()\"
、\"()(()())\"
都是 有效括号字符串(嵌套深度分别为 0、1、2),而 \")(\"
、\"(()\"
都不是 有效括号字符串 。
给你一个 有效括号字符串 s
,返回该字符串的 s
嵌套深度 。
\n\n
示例 1:
\n\n\n输入:s = \"(1+(2*3)+((8)/4))+1\"\n输出:3\n解释:数字 8 在嵌套的 3 层括号中。\n\n\n
示例 2:
\n\n\n输入:s = \"(1)+((2))+(((3)))\"\n输出:3\n\n\n
\n\n
提示:
\n\n1 <= s.length <= 100
s
由数字 0-9
和字符 '+'
、'-'
、'*'
、'/'
、'('
、')'
组成s
是 有效的括号表达式\\u7248\\u672c\\uff1a \\u7f16\\u8bd1\\u65f6\\uff0c\\u5c06\\u4f1a\\u91c7\\u7528 \\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\"],\"java\":[\"Java\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u88ab\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5305\\u542b Pair \\u7c7b: https:\\/\\/docs.oracle.com\\/javase\\/8\\/javafx\\/api\\/javafx\\/util\\/Pair.html <\\/p>\"],\"python\":[\"Python\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982\\uff1aarray<\\/a>, bisect<\\/a>, 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