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, 75, 82, -27, 47]

Ex Output:
163


Ex Input:
[-37, -31, -48]

Ex Output:
17


Ex Input:
[47, -50, -42, -52, -17]

Ex Output:

99