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:
[17, 81, -57]

Ex Output:
138


Ex Input:
[-59, 74, -62]

Ex Output:
136


Ex Input:
[-100, -84, 39, -1, 53, 16, 83, 97, 90, -96]

Ex Output:

197