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:
[89, 78, -70, 2, 24]

Ex Output:
159


Ex Input:
[67, -41, -35]

Ex Output:
108


Ex Input:
[-16, 14, -27, -80, -51, 92, -6, -64]

Ex Output:

172