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:
[31, 56, -25, -50, 46]

Ex Output:
106


Ex Input:
[-24, -57, 99, -3, -63, 64, 66]

Ex Output:

162