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: [98, 27, -79, -11, 53, 45]
Example Output: 8

Example Input: [97, -19, -81, 14]
Example Output: 33

Example Input: [16, 39, -58]
Example Output:
23