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:
[40, 21, -54, -18, 45]

Ex Output:
99


Ex Input:
[56, 52, 36, -9, 84]

Ex Output:
93


Ex Input:
[0, -87, -52, 74, -64, -56, 85, -9, -29]

Ex Output:

172