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:
[-72, 3, 54, -14, 62, 42, 7, -17]

Ex Output:
134


Ex Input:
[-56, 16, -97, -34, -15, 99, 100]

Ex Output:

197