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:
[17, -82, 53, 100, 39, -67, -31]

Ex Output:
182


Ex Input:
[-87, 98, 34, -36, 98, -60, 30, -71]

Ex Output:
185


Ex Input:
[-69, -15, 86, -79, 14, -4, 65, 95, -12]

Ex Output:

174