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:
[-47, 13, -50, 84, 38, -12]

Ex Output:
134


Ex Input:
[51, 86, 85, -83, -60, -14, -87, 67, 25]

Ex Output:
173


Ex Input:
[70, -20, -46]

Ex Output:

116