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: [77, 9, 85, 33, -67, 98, -59, 14]
Example Output: 5

Example Input: [34, 44, -65, -19, -91, -25, -46]
Example Output:
6