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:
[46, -61, -39, -28, -42]

Ex Output:
107


Ex Input:
[-51, -24, 73, 99]

Ex Output:
150


Ex Input:
[62, -14, -68, 44, -27, 63, 90]

Ex Output:

158