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: [-40, 78, 1, -35]

Output: 118


Input: Consider Input: [-71, -50, 85, -32, 68, -82, -5, 31]

Output: 167


Input: Consider Input: [82, 36, 51]


Output: 46