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: [-5, -44, 81, -31, 87, 45]
Example Output: 6

Example Input: [11, 91, 52, 51, 33]
Example Output: 1

Example Input: [-37, 3, 39]
Example Output:
36