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:
[-27, 87, 29, -36, 67, 28, 97]

Ex Output:
133


Ex Input:
[24, -43, -93, 22, -55, 31]

Ex Output:
124


Ex Input:
[-26, 68, -49, 58, -96, -34, -21, -26, 17]

Ex Output:

164