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: [-53, 5, -83, 89, -40, 83, 20, -19, -61, 13]

Output: 172


Input: Consider Input: [-41, -32, -38, 48, 32, 9, -65, 45, 1]

Output: 113


Input: Consider Input: [77, 43, -61, 59, 67]


Output: 138