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:
[-2, -72, -84, -35, 37, -81, 51, 62]

Ex Output:
146


Ex Input:
[-73, 89, 45]

Ex Output:
162


Ex Input:
[-5, 22, -71, -96, 8, -64, 0, 43, -67]

Ex Output:

139