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:
[13, -41, -32, 86, 38, -40]

Ex Output:
127


Ex Input:
[37, 24, -24, 49]

Ex Output:
73


Ex Input:
[-82, -17, 69, 97, 78, 13, -51, 7, 20, 83]

Ex Output:

179