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:
[-16, 45, -57, -19, 82, -70, -34, 38, 56]

Ex Output:
152


Ex Input:
[-15, 91, -2, 82]

Ex Output:
106


Ex Input:
[-51, -61, 1, -1, -45, -29, -14, 74]

Ex Output:

135