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:
[-59, 74, -62]

Ex Output:
136


Ex Input:
[-12, 45, -9, 84, 21]

Ex Output:
96


Ex Input:
[24, -45, -71, 51, 84, 97, -85, 52]

Ex Output:

182