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:
[-27, 45, 93]

Ex Output:
120


Ex Input:
[52, 39, -64, 70, 62, 14, -34, 56, 70]

Ex Output:
134


Ex Input:
[-89, 5, 81, 39, 89, 54]

Ex Output:

178