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:
[14, -99, 31, -65, 42, -75, -51, 69]

Ex Output:
168


Ex Input:
[38, -74, 85, 60, 23, -57, -21]

Ex Output:
159


Ex Input:
[36, -35, -48, 27, -43, 80, 70, 4]

Ex Output:

128