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: [80, 9, -80]

Output: 160


Input: Consider Input: [-90, 6, 1, 10, -54, -7, -27, 46]


Output: 136