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:
[-85, 38, -55, 19, -80, -78, 82, 93, -31]

Ex Output:
178


Ex Input:
[87, -19, -11, -72]

Ex Output:
159


Ex Input:
[37, 88, -65, 55, -21, -79, -26, -58]

Ex Output:

167