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:
[-43, 82, 63, 94]

Ex Output:
137


Ex Input:
[-6, 72, 82, 40, 40, 50, 58, 0]

Ex Output:
88


Ex Input:
[-51, 94, -48, -63, -62, -80, 67]

Ex Output:

174