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:
[99, -32, 23]

Ex Output:
131


Ex Input:
[71, 65, 80, 60, -60, 77, 15]

Ex Output:
140


Ex Input:
[56, 37, 46, -79, -2, -31, -71, 38, -71]

Ex Output:

135