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: [-38, 81, 18, -86, -17, 78]
Example Output: 3

Example Input: [54, 92, 89, 70, 75, -34, -93, -86, -89]
Example Output: 3

Example Input: [55, -35, -40, -97, 72, -31, 37]
Example Output:
4