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: [34, -51, -48, -27]
Example Output: 3

Example Input: [-48, -64, -1, -96, -45, -89, 99, 36, -49]
Example Output: 1

Example Input: [-73, 8, -100, 39, 56, -67, -10]
Example Output:
6