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

Ex Output:
129


Ex Input:
[67, 92, -86, 67, 40, -38, -31, 53]

Ex Output:
178


Ex Input:
[-97, 96, -98, 90, -48, -1, 58]

Ex Output:

194