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:
[-85, 38, -55, 19, -80, -78, 82, 93, -31]

Ex Output:
178


Ex Input:
[-7, -8, -91, 72, -65]

Ex Output:
163


Ex Input:
[61, -86, -76, 14, 45, 15, -7, -17, 22, 9]

Ex Output:

147