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:
[51, 90, -3, 87, 99]

Ex Output:
102


Ex Input:
[53, 57, -94, 65, 78, -92, 38, -93, -5, -4]

Ex Output:
172


Ex Input:
[-34, -74, -68, 81, -13, -96, -69, 55]

Ex Output:

177