Given a string s of '(' , ')' and lowercase English characters.

Your task is to remove the minimum number of parentheses ( '(' or ')', in any positions ) so that the resulting parentheses string is valid and return any valid string.

Formally, a parentheses string is valid if and only if:

• It is the empty string, contains only lowercase characters, 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.

Example 1:

Input: s = "lee(t(c)o)de)"
Output: "lee(t(c)o)de"
Explanation: "lee(t(co)de)" , "lee(t(c)ode)" would also be accepted.


Example 2:

Input: s = "a)b(c)d"
Output: "ab(c)d"


Example 3:

Input: s = "))(("
Output: ""
Explanation: An empty string is also valid.


Example 4:

Input: s = "(a(b(c)d)"
Output: "a(b(c)d)"


Constraints:

• 1 <= s.length <= 10^5
• s[i] is one of  '(' , ')' and lowercase English letters.

## Solution: Couting

Count how many “(” are open and how many “)” left.

Time complexity: O(n)
Space complexity: O(1)

## C++

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