DSA Level 2 Data Structures Stacks Score Of Parentheses

Score Of Parentheses

medium

Given a balanced parentheses string S, compute the score of the string based on the following rule:
    () has score 1
    AB has score A + B, where A and B are balanced parentheses strings.
    (A) has score 2 * A, where A is a balanced parentheses string.

Score of ()()() string is 3 =&gt; 1 + 1 + 1
Score of (()) string is 2 =&gt; 2 * 1

Input Format

Input is managed for you

Output Format

Output is managed for you

Constraints

1: S is a balanced parentheses string, containing only ( and ).
2: 2 &lt;= S.length &lt;= 50

Notice

Try First, Check Solution later

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2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input

(()(()))

Output

Minimum Add To Make Parentheses Valid

Reverse Substrings Between Each Pair Of Parentheses

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