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: [-100, 65, -46, 36, 12, -10, 40]

Output: 165


Input: Consider Input: [71, 66, 51]

Output: 20


Input: Consider Input: [36, -87, 7, -14, -2, -34, -14, 85]


Output: 172