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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