In this task you will be given a list of integers. You should find the minimum 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 smallest possible absolute distance.

Example Input: [35, -52, -65]
Example Output: 13

Example Input: [-81, 95, -85, -99, 41]
Example Output: 4

Example Input: [51, 88, -34]
Example Output:
37