In this task you will be given a list of integers. You should find the maximum absolute difference between 2 integers in the list. The absolute difference is the absolute value of one integer subtracted by another. The output should be a single integer which is the largest possible absolute distance.

Ex Input:
[-29, 6, -28, -80, 49, 69, 100, 23, -13]

Ex Output:
180


Ex Input:
[-7, 54, -70]

Ex Output:
124


Ex Input:
[62, 10, -17, -42, 59, 31, -40]

Ex Output:

104