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:
[100, 96, -27, -25, 3]

Ex Output:
127


Ex Input:
[-14, -5, 54, 15]

Ex Output:
68


Ex Input:
[96, -4, 32, 7, 25]

Ex Output:

100