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:
[100, 96, -27, -25, 3]

Ex Output:
127


Ex Input:
[79, 81, -85, -79]

Ex Output:
166


Ex Input:
[-42, 31, 97, -65, 82, -85, 81, -73]

Ex Output:

182