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: [-69, 33, -73, -51, -43, 69]
Example Output: 4

Example Input: [49, -80, -72, -83, -41, 83, -46]
Example Output: 3

Example Input: [-78, -57, -62, -83, 97, 85, -46]
Example Output:
5