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:
[-15, 91, -2, 82]

Ex Output:
106


Ex Input:
[87, 11, 40]

Ex Output:
76


Ex Input:
[-69, -45, -84, 98, 51, 95, -49, 62, 27]

Ex Output:

182