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:
[71, 66, 51]

Ex Output:
20


Ex Input:
[-89, 99, 22, -27]

Ex Output:
188


Ex Input:
[61, -68, 65, 84, 38, 45]

Ex Output:

152