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:
[-10, 91, -79, 19, -84, 52, 87, -63]

Ex Output:
175


Ex Input:
[29, 99, 98, -15]

Ex Output:
114


Ex Input:
[54, 20, 43, 79, 34, 98, -21, 29, 37]

Ex Output:

119