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:
[29, 99, 98, -15]

Ex Output:
114


Ex Input:
[-63, -43, -37, -19, 14, 94]

Ex Output:
157


Ex Input:
[-71, 58, 63, 15]

Ex Output:

134