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.
Example 1:
Input: "()"
Output: 1
Example 2:
Input: "(())"
Output: 2
Example 3:
Input: "()()"
Output: 2
Example 4:
Input: "(()(()))"
Output: 6
Note:
- S is a balanced parentheses string, containing only ( and ).
- 2 <= S.length <= 50
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