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:
[-47, -49, -10]

Ex Output:
39


Ex Input:
[99, 32, 8, 1, -3, -36, -90]

Ex Output:
189


Ex Input:
[73, -35, -35, -70, 9, 98, 74, 35, 12, -46]

Ex Output:

168