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:
[87, 11, 40]

Ex Output:
76


Ex Input:
[32, 95, 24, -61]

Ex Output:
156


Ex Input:
[90, -100, -100, 40, -45]

Ex Output:

190