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 withB
), whereA
andB
are valid strings, or - It can be written as
(A)
, whereA
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:
Input: "())"
Output: 1
Example 2:
Input: "((("
Output: 3
Example 3:
Input: "()"
Output: 0
Example 4:
Input: "()))(("
Output: 4
Note:
S.length <= 1000
-
S
only consists of'('
and')'
characters.
思路:
用一个栈即可,如果顶部和字符串中的当前字符匹配则出栈,最后栈的大小即为不匹配的个数。
int minAddToMakeValid(string S) {
if(S.length()<=)return S.length();
stack<char>st;
for(int i = ; i < S.length(); i++)
{
if(S[i] == ')' && !st.empty() && st.top() == '(')
{
st.pop();
continue;
}
else
{
st.push(S[i]);
}
}
return st.size();
}