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: [43, 51, -14, -70, 7, 59]
Example Output: 8

Example Input: [98, 72, 88, -46, -66]
Example Output: 10

Example Input: [-46, -69, -25, 45, 48]
Example Output:
3