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: [46, -61, -39, -28, -42]

Output: 107


Input: Consider Input: [14, -99, 31, -65, 42, -75, -51, 69]

Output: 168


Input: Consider Input: [-9, 81, -4]


Output: 90