In this task you will be given a list of integers. You should find the maximum 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 largest possible absolute distance.

Input: Consider Input: [50, -56, 46]

Output: 106


Input: Consider Input: [-81, 84, 12, -24, 89]

Output: 170


Input: Consider Input: [39, -40, 1, -73]


Output: 112