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: [73, 7, 87]

Output: 80


Input: Consider Input: [-42, -37, -95, 68, -100, -72, 99, -48, -73]

Output: 199


Input: Consider Input: [38, 21, 11, -96, -31]


Output: 134