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2020-08-07 17:06:53 +08:00

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# [921. Minimum Add to Make Parentheses Valid](https://leetcode.com/problems/minimum-add-to-make-parentheses-valid/)
## 题目
Given a string S of '(' and ')' parentheses, we add the minimum number of parentheses ( '(' or ')', and in any positions ) so that the resulting parentheses string is valid.
Formally, a parentheses string is valid if and only if:
- It is the empty string, or
- It can be written as AB (A concatenated with B), where A and B are valid strings, or
- It can be written as (A), where A is a valid string.
Given a parentheses string, return the minimum number of parentheses we must add to make the resulting string valid.
Example 1:
```c
Input: "())"
Output: 1
```
Example 2:
```c
Input: "((("
Output: 3
```
Example 3:
```c
Input: "()"
Output: 0
```
Example 4:
```c
Input: "()))(("
Output: 4
```
Note:
1. S.length <= 1000
2. S only consists of '(' and ')' characters.
## 题目大意
给一个括号的字符串,如果能在这个括号字符串中的任意位置添加括号,问能使得这串字符串都能完美匹配的最少添加数是多少。
## 解题思路
这题也是栈的题目,利用栈进行括号匹配。最后栈里剩下几个括号,就是最少需要添加的数目。