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:
[56, -10, -66, 100, 41, -4, 96]

Ex Output:
166


Ex Input:
[-1, -63, -5, 63]

Ex Output:
126


Ex Input:
[55, 15, -22, 63, -42, 95, 6]

Ex Output:

137