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:
[46, -67, 35, 24, 78]

Ex Output:
145


Ex Input:
[69, 96, 80, 0]

Ex Output:
96


Ex Input:
[31, -83, 14, -78, -87, -44, -11, 70]

Ex Output:

157