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:
[71, 66, 51]

Ex Output:
20


Ex Input:
[-73, -75, 52, -18, 42, 69, 66, 65]

Ex Output:
144


Ex Input:
[31, 6, -99, 33, -18, 21, 5, -4]

Ex Output:

132