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, -82, 53, 100, 39, -67, -31]

Ex Output:
182


Ex Input:
[-67, -72, -45, 64]

Ex Output:
136


Ex Input:
[-10, -5, 23, 69, 63]

Ex Output:

79