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: [67, 10, -14, -3]

Output: 81


Input: Consider Input: [-59, 74, -62]

Output: 136


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


Output: 167