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:
[29, 62, 46, -15]

Ex Output:
77


Ex Input:
[11, 71, 20, -84, 85]

Ex Output:
169


Ex Input:
[-27, 45, 93]

Ex Output:

120