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:
[29, 62, 46, -15]

Ex Output:
77


Ex Input:
[-100, -94, 40, -54, 72, -39, -38, -10, -11, -43]

Ex Output:
172


Ex Input:
[47, -75, 68, -28, -38, 71, -14, 87, -76]

Ex Output:

163