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.

Example Input: [21, -58, -44, 49, -58, -42, -59]
Example Output: 108

Example Input: [31, 56, -25, -50, 46]
Example Output: 106

Example Input: [88, -24, 22, -23, 13, -75, -87]
Example Output:
175