Scoring Strings

Nesting level, in this challenge, refers to the depth of parentheses around an integer. For example, in 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 times its nesting level and then summing the results:

"(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

score_it("()") ➞ 0

score_it("4(123)") ➞ 123
# 4*0 + 123*1 = 123

score_it("((((1)2)3)4)") ➞ 20
# 1*4 + 2*3 + 3*2 + 4*1 = 20

score_it("(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.