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: [-2, -72, -84, -35, 37, -81, 51, 62]

Output: 146


Input: Consider Input: [26, -15, 82, -64, -32]

Output: 146


Input: Consider Input: [15, -8, 11, 38, -84]


Output: 122