In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Ex Input:
2, 8, ['4517', 'w', '9145', '5477', '7679', 'j', '8603', 'z']

Ex Output:
30904


Ex Input:
5, 9, ['125', 'A', 'E', 'X', 'j', '319', 'm', '7037', 'g', 'D', 'g', '6737', 'z', '5249']

Ex Output:
7356


Ex Input:
3, 6, ['795', '4781', '2551', '8123', '5751', '4961', 'z']

Ex Output:

21386