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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.
此题我的理解为找出其不能成对的括号即可,将其加入一个栈中,成对则弹出,剩余则为不能成对的。Accepted代码如下:
class Solution {
public int minAddToMakeValid(String S) {
int l = S.length();
if (l == 0) {
return 0;
}
if (l == 1) {
return 1;
}
Stack<Character> stack = new Stack();
for (int i = 0; i < l; i++) {
char a = S.charAt(i);
if (a == '(') {
stack.push(a);
} else if (stack.empty()){
stack.push(a);
} else if ('(' == stack.peek()) {
stack.pop();
} else {
stack.push(a);
}
}
return stack.size();
}
}