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:
[-43, 82, 63, 94]

Ex Output:
137


Ex Input:
[70, 55, -53, 51, 25, 94]

Ex Output:
147


Ex Input:
[22, -16, 97, 83, 92, 67, -48, 31]

Ex Output:

145