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:
[81, -33, 73, 91, 24, -51, -73]

Ex Output:
164


Ex Input:
[5, -36, 72, -8, -27, 51]

Ex Output:
108


Ex Input:
[-14, 82, 77, 25, -54]

Ex Output:

136