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: [-85, 38, -55, 19, -80, -78, 82, 93, -31]

Output: 178


Input: Consider Input: [-89, 99, 22, -27]

Output: 188


Input: Consider Input: [-17, -32, -53, 27, -55]


Output: 82