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:
[-71, -50, 85, -32, 68, -82, -5, 31]

Ex Output:
167


Ex Input:
[20, -45, -7, 63, 59, -95, -51]

Ex Output:
158


Ex Input:
[-78, -64, -12, -68, -94, -38, -79, 56]

Ex Output:

150