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:
[10, 78, 4, -57]

Ex Output:
135


Ex Input:
[21, -23, -37, 52, 61, 87, -3]

Ex Output:
124


Ex Input:
[38, 53, -67, -62, -97, 70, 96]

Ex Output:

193