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: [5, 45, 22]

Output: 40


Input: Consider Input: [-62, -98, -18, 62, -35, 46]

Output: 160


Input: Consider Input: [-36, 62, 40, 42, 50, -52, -39, 31, 37]


Output: 114