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: [-12, 31, -16, -83]

Output: 114


Input: Consider Input: [-5, 73, 38, 35, -33, 21, 76, 17, -70]

Output: 146


Input: Consider Input: [-3, 91, -86, 6, -100, -57, 55, 31]


Output: 191