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:
[97, -59, -100, 78]

Ex Output:
197


Ex Input:
[-75, -27, 81, -52, 61]

Ex Output:

156