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: [-45, 27, -97, 62, -61, -59, -3]
Example Output: 2

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

Example Input: [-30, 80, -100, -63, -12, -93, 29]
Example Output:
7