Minimum Bracket Addition - Amazon Top Interview Questions


Problem Statement :


Given a string s containing brackets ( and ), return the minimum number of brackets that can be inserted so that the brackets are balanced.

Constraints

n ≤ 100,000 where n is the length of s

Example 1

Input

s = ")))(("


Output

5

Explanation

We can insert ((( to the front and )) to the end



Solution :



title-img




                        Solution in C++ :

int solve(string s) {
    int left = 0;
    int stack = 0;

    for (auto c : s) {
        if (!stack && c == ')')
            ++left;
        else if (c == '(')
            ++stack;
        else
            --stack;
    }
    return left + stack;
}
                    


                        Solution in Java :

import java.util.*;

class Solution {
    public int solve(String s) {
        int open = 0;
        int count = 0;

        for (char c : s.toCharArray()) {
            if (c == '(')
                open++;
            else {
                if (open == 0)
                    count++;
                else
                    open--;
            }
        }
        return count + open;
    }
}
                    


                        Solution in Python : 
                            
class Solution:
    def solve(self, s):
        stack = []
        res = 0

        for b in s:
            if b == ")":
                if len(stack) > 0 and stack[-1] == "(":
                    stack.pop()
                else:
                    stack.append(")")
            else:
                stack.append("(")

        return len(stack)
                    


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