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:
[-19, 98, 36, -60, -81]

Ex Output:
179


Ex Input:
[-46, 40, -67]

Ex Output:
107


Ex Input:
[37, 86, -29, -62, 99, -97, 100, -97, 37]

Ex Output:

197