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:
[89, 84, 85]

Ex Output:
5


Ex Input:
[67, 92, -86, 67, 40, -38, -31, 53]

Ex Output:
178


Ex Input:
[-7, -99, 81, 43, -1, -100, -4, 82, 78]

Ex Output:

182