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:
1, 6, ['1529', '2989', 'T', '8059', 'f', 'j', 'x', '2209']

Ex Output:
12577


Ex Input:
5, 6, ['i', 'i', 'J', 'O', '4571', 'o', '2073', '87', 'x', '9937', '9917', '4283', 'S']

Ex Output:
4571


Ex Input:
1, 11, ['q', 'q', 'P', '4335', 'l', 'k', 'D', 'R', '719', 'g', '855', 'l', '6639', '7935', '8407', 'A', 'H', '8357', '759', 'i', '1205', 'B', 'Q', 'V', '359', '4565', '9975', 'g', 'h', '9585']

Ex Output:

5909