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:
[22, 50, 87, -2, 71]

Ex Output:
89


Ex Input:
[-98, -1, -90]

Ex Output:
97


Ex Input:
[-18, 76, -35, -75, -61, -8, -31, -10, 85]

Ex Output:

160