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:
[-62, -5, -11, 97, 9, -73, 20]

Ex Output:
170


Ex Input:
[-40, -55, 22, 74, -51]

Ex Output:
129


Ex Input:
[57, -12, 90, -45, 84, 1, -31, -45, -97]

Ex Output:

187