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, 83, 52, -37]

Ex Output:
120


Ex Input:
[-39, 90, 76, -34, -77, 34, 84, 2, -83]

Ex Output:
173


Ex Input:
[97, 97, -12, 50, 77, -47, 10]

Ex Output:

144