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: [-37, -1, -23, 13, 54, -16, -87]

Output: 141


Input: Consider Input: [36, 4, 60, -99, 45, 54]

Output: 159


Input: Consider Input: [-79, -90, -38, 63, 5, -93, 81, 12]


Output: 174