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: [34, 20, 40]

Output: 20


Input: Consider Input: [35, -27, 33, 88]

Output: 115


Input: Consider Input: [-69, 0, -36, 9, -69, 31, -1, -40, 72, 77]


Output: 146