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:
[77, -9, -50, -79, 16, 70, -86, 57, 25]

Ex Output:
163


Ex Input:
[-36, -66, -4]

Ex Output:
62


Ex Input:
[84, -88, 77, 12, 35, 65, 2, -12, -82, -50]

Ex Output:

172