{ "data": { "question": { "questionId": "1648", "questionFrontendId": "1541", "categoryTitle": "Algorithms", "boundTopicId": 362623, "title": "Minimum Insertions to Balance a Parentheses String", "titleSlug": "minimum-insertions-to-balance-a-parentheses-string", "content": "

Given a parentheses string s containing only the characters '(' and ')'. A parentheses string is balanced if:

\n\n\n\n

In other words, we treat '(' as an opening parenthesis and '))' as a closing parenthesis.

\n\n\n\n

You can insert the characters '(' and ')' at any position of the string to balance it if needed.

\n\n

Return the minimum number of insertions needed to make s balanced.

\n\n

 

\n

Example 1:

\n\n
\nInput: s = "(()))"\nOutput: 1\nExplanation: The second '(' has two matching '))', but the first '(' has only ')' matching. We need to to add one more ')' at the end of the string to be "(())))" which is balanced.\n
\n\n

Example 2:

\n\n
\nInput: s = "())"\nOutput: 0\nExplanation: The string is already balanced.\n
\n\n

Example 3:

\n\n
\nInput: s = "))())("\nOutput: 3\nExplanation: Add '(' to match the first '))', Add '))' to match the last '('.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "平衡括号字符串的最少插入次数", "translatedContent": "

给你一个括号字符串 s ，它只包含字符 '(' 和 ')' 。一个括号字符串被称为平衡的当它满足：

\n\n\n\n

比方说 "())"， "())(())))" 和 "(())())))" 都是平衡的， ")()"， "()))" 和 "(()))" 都是不平衡的。

\n\n

你可以在任意位置插入字符 '(' 和 ')' 使字符串平衡。

\n\n

请你返回让 s 平衡的最少插入次数。

\n\n

 

\n\n

示例 1：

\n\n
输入：s = "(()))"\n输出：1\n解释：第二个左括号有与之匹配的两个右括号，但是第一个左括号只有一个右括号。我们需要在字符串结尾额外增加一个 ')' 使字符串变成平衡字符串 "(())))" 。\n
\n\n

示例 2：

\n\n
输入：s = "())"\n输出：0\n解释：字符串已经平衡了。\n
\n\n

示例 3：

\n\n
输入：s = "))())("\n输出：3\n解释：添加 '(' 去匹配最开头的 '))' ，然后添加 '))' 去匹配最后一个 '(' 。\n
\n\n

示例 4：

\n\n
输入：s = "(((((("\n输出：12\n解释：添加 12 个 ')' 得到平衡字符串。\n
\n\n

示例 5：

\n\n
输入：s = ")))))))"\n输出：5\n解释：在字符串开头添加 4 个 '(' 并在结尾添加 1 个 ')' ，字符串变成平衡字符串 "(((())))))))" 。\n
\n\n

 

\n\n

提示：

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