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:
[-31, -25, 22, -78, -66, -18, 0]

Ex Output:
100


Ex Input:
[79, -63, -29, 28, 67, 0, -20, 44, 89]

Ex Output:
152


Ex Input:
[-18, -46, 88, 65, 15, 5, -89]

Ex Output:

177