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:
[17, 81, -57]

Ex Output:
138


Ex Input:
[8, -29, 39, 84, -100, 20, -55, -89, 23]

Ex Output:
184


Ex Input:
[84, -89, 77, -40, 78]

Ex Output:

173


