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:
[73, 7, 87]

Ex Output:
80


Ex Input:
[64, -75, -15, -22, -62, 48, -47, -22, 69, 38]

Ex Output:
144


Ex Input:
[99, 81, -87, 95, 60, -48, -41, 69]

Ex Output:

186