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: [-42, 100, -13, 14]

Output: 142


Input: Consider Input: [-41, 64, -65]

Output: 129


Input: Consider Input: [99, 76, -79, 9, -23]


Output: 178