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: [27, 40, -97, -4]
Example Output: 13

Example Input: [68, 53, 82]
Example Output: 14

Example Input: [-88, 40, -75, 44, -86, -53, 45, -33]
Example Output:
1