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: [-2, -72, -84, -35, 37, -81, 51, 62]
Example Output: 146

Example Input: [100, 96, -27, -25, 3]
Example Output: 127

Example Input: [74, -32, 6]
Example Output:
106