# Score of Parentheses

Updated: Mar 25, 2021

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

**Solution:**

```
class Solution {
public int scoreOfParentheses(String S) {
int ans=0,bal=0;
for(int i=0;i<S.length();i++)
{
if(S.charAt(i)=='(')
{
bal++;
}
else
{
bal--;
if(S.charAt(i-1)=='(')
ans+=Math.pow(2,bal);
}
}
return ans;
}
}
```