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:
[67, 92, -86, 67, 40, -38, -31, 53]

Ex Output:
178


Ex Input:
[22, -57, -32, -76, -4, -34]

Ex Output:
98


Ex Input:
[56, 80, -73, 54, -90, -80]

Ex Output:

170