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:
[22, 50, 87, -2, 71]

Ex Output:
89


Ex Input:
[80, 9, -80]

Ex Output:
160


Ex Input:
[-45, 81, -70, 56, 26, 72, 55, -1, 78]

Ex Output:

151