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:
[-72, 3, 54, -14, 62, 42, 7, -17]

Ex Output:
134


Ex Input:
[52, 36, -17, 44, 28]

Ex Output:
69


Ex Input:
[15, -89, -65, -55, 40, -99, 100, 9]

Ex Output:

199