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:
[34, 20, 40]

Ex Output:
20


Ex Input:
[83, -40, -77, -49, -83, 13, -19, -100]

Ex Output:
183


Ex Input:
[-80, 23, -51, -62, 43, 28]

Ex Output:

123