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:
[-13, 63, 2]

Ex Output:
76


Ex Input:
[62, -68, 64, -36, 13, 28, 73, 41, -89, 29]

Ex Output:
162


Ex Input:
[3, 27, 24, 95, 50, -66, -78, -23, 71, 29]

Ex Output:

173