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:
[-89, 47, 55, -60, 12, 89, 92, -69, 85]

Ex Output:
181


Ex Input:
[45, -54, -13]

Ex Output:
99


Ex Input:
[-54, 52, -100, -19, -6, -39, -31, -52, -2]

Ex Output:

152