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:
[-81, 75, 82, -27, 47]

Ex Output:
163


Ex Input:
[52, 97, -71, -22, 59, -6, 69, -29]

Ex Output:
168


Ex Input:
[-56, -64, -34, -66, -64, -2, 81, -53]

Ex Output:

147