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:
[10, 78, 4, -57]

Ex Output:
135


Ex Input:
[-84, -56, 22, 22, 40, 40, -13, -20, -25, 13]

Ex Output:
124


Ex Input:
[31, -52, 47, 43, -80, -10, 19]

Ex Output:

127