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: [87, 11, 40]

Output: 76


Input: Consider Input: [-40, -55, 22, 74, -51]

Output: 129


Input: Consider Input: [84, -50, -39, -96, -54]


Output: 180