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:
[-12, 31, -16, -83]

Ex Output:
114


Ex Input:
[20, -9, 27, 89, -57, -13, -35, -35, 35, 13]

Ex Output:
146


Ex Input:
[-57, 78, 56]

Ex Output:

135