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:
[37, 24, -24, 49]

Ex Output:
73


Ex Input:
[11, -79, -66, -48, -99, 4, 19, 3]

Ex Output:

118