Minimum Parantheses! - InterviewBit Solution

Problem: Minimum Parantheses!

Problem Description:

Given a string A of parentheses ‘(‘ or ‘)’. The task is to find a minimum number of parentheses ‘(‘ or ‘)’ (at any positions) we must add to make the resulting parentheses string valid. A string is valid if:

• Open brackets must be closed by the corresponding closing bracket.

• Open brackets must be closed in the correct order.

Problem Constraints

• 1 <= |A| <= 1e5

• A[i] = '(' or A[i] = ')'
  

Input Format

The first and only argument is a string A.

Output Format

Return a single integer denoting the minimum number of parentheses ‘(‘ or ‘)’ (at any positions) we must add in A to make the resulting parentheses string valid.

Example Input

Input 1:
 A = "())" 
 
Input 2:
 A = "(((" 

Example Output

Output 1:
 1 
 
Output 2:
 3 

Example Explanation

Explanation 1:
 One '(' is required at the beginning. 
 
Explanation 2:
 Three ')' is required at the end.

Solution Approach:

Solution:

Code in C++

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