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:
[4, 80, -39, -100, 31, -89, -62]

Ex Output:
180


Ex Input:
[-42, 100, -13, 14]

Ex Output:
142


Ex Input:
[0, 42, 54, -71, 95, -28, -58, -55]

Ex Output:

166