Scoring Strings

Nesting level, for this challenge, refers to the depth of the parentheses surrounding an integer. For example, the string "(5((10)8))", 5 has a nesting level of 1 because it has one set of parentheses around it, 10 has a nesting level of 3 because it has 3 sets of parentheses around it, and 8 has a nesting level of 2.

We can score this string by multiplying each number with its nesting level and then summing up the results, as follows:

"(5((10)8))" ➞ 5*1 + 10*3 + 8*2 ➞ 51

Create a function that takes a string as its argument and returns its score.

Examples

scoreIt("()") ➞ 0

scoreIt("4(123)") ➞ 123
// 4*0 + 123*1 = 123

scoreIt("((((1)2)3)4)") ➞ 20
// 1*4 + 2*3 + 3*2 + 4*1 = 20

scoreIt("(6)8((34(7)))") ➞ 95
// 6*1 + 8*0 + 34*2 + 7*3 = 95

Notes

• The nesting for all test cases is balanced and logically consistent (there are no missing or extra parentheses).
• Test cases contain only positive integers.