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:
[77, -9, -50, -79, 16, 70, -86, 57, 25]

Ex Output:
163


Ex Input:
[-55, -13, 81, -78]

Ex Output:
159


Ex Input:
[-90, 68, 88, -83, -9, -7, -40, -80, 45, 66]

Ex Output:

178