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: [46, 12, 31, 26]
Example Output: 5

Example Input: [-45, 43, -31, 75, -14, -57, -35, -75, -37]
Example Output: 2

Example Input: [-15, -77, -10, 35]
Example Output:
5