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: [-81, 46, 20, -67, 35, -4, -82]

Output: 128


Input: Consider Input: [73, -19, -18, -35, 77]

Output: 112


Input: Consider Input: [100, 78, 61, 40, 19, -19, -89, 85, -39]


Output: 189