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: [87, -19, -11, -72]

Output: 159


Input: Consider Input: [-74, -66, -100]

Output: 34


Input: Consider Input: [56, -58, -44, 22, 34, -87]


Output: 143