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:
[77, -72, 84, 66, 14, -1]

Ex Output:
156


Ex Input:
[-26, 79, -36, 44, 100]

Ex Output:
136


Ex Input:
[100, 45, -17, 97]

Ex Output:

117