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:
[-21, -26, -65, -43, -98]

Ex Output:
77


Ex Input:
[-13, 69, -98, 22, 4, -90, -42]

Ex Output:

167