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:
[24, -43, -93, 22, -55, 31]

Ex Output:
124


Ex Input:
[-39, 90, 76, -34, -77, 34, 84, 2, -83]

Ex Output:
173


Ex Input:
[-10, -16, -35, -88, 23, 99, -9, -6, 52]

Ex Output:

187