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: [61, -14, 47, 56, 95, -19, -75, 87]
Example Output: 5

Example Input: [75, -77, -28, 39]
Example Output: 36

Example Input: [84, -50, -100, 24, -3, 21, 49]
Example Output:
3