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: [-41, -32, -38, 48, 32, 9, -65, 45, 1]

Output: 113


Input: Consider Input: [-40, -32, 16]


Output: 56