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:
[21, -58, -44, 49, -58, -42, -59]

Ex Output:
108


Ex Input:
[97, -59, -100, 78]

Ex Output:
197


Ex Input:
[3, 83, 97, 38, 77, 62, 71, 20, 56, -28]

Ex Output:

125