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: [15, -38, -71, -54, -98, -8, 78, 58]

Output: 176


Input: Consider Input: [-1, -63, -5, 63]

Output: 126


Input: Consider Input: [18, -49, 47, 51, 71, 83, -82, -59, 70]


Output: 165