Nested List Weight Sum: You are given a nested list of integers, nestedList. Each element is either an integer or a list whose elements may also be integers or other lists. The depth of an integer is the number of lists that it is inside of. For example, the nested list [1,[2,2],[[3],2],1] has each integer's value set to its depth. Return the sum of each integer in nestedList multiplied by its depth.

You are given a nested list of integers, nestedList. Each element is either an integer or a list whose elements may also be integers or other lists. The depth of an integer is the number of lists that it is inside of. For example, the nested list [1, [2, 2], [[3], 2], 1] has each integer's value set to its depth. Return the sum of each integer in nestedList multiplied by its depth.