A parentheses string is valid if and only if:
 It is the empty string,
 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.
You are given a parentheses string s
. In one move, you can insert a parenthesis at any position of the string.
 For example, if
s = "()))"
, you can insert an opening parenthesis to be"(()))"
or a closing parenthesis to be"())))"
. Return the minimum number of moves required to makes
valid.
Example 1:
Input: s = "())"
Output: 1
Example 2:
Input: s = "((("
Output: 3
Constraints:
1 <= s.length <= 1000
s[i]
is either'('
or')'
.

