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:
[41, 100, -38, -30, -99, -34, -86]

Ex Output:
199


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

Ex Output:
136


Ex Input:
[85, 42, -77, -76, -88, 75, -77, -99, 84]

Ex Output:

184