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:
[62, -79, -54, -61, 99, 78, -52, -35, 97, 40]

Ex Output:
178


Ex Input:
[-7, -35, -2]

Ex Output:
33


Ex Input:
[48, -63, -72, 4]

Ex Output:

120