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: [-85, 38, -55, 19, -80, -78, 82, 93, -31]

Output: 178


Input: Consider Input: [57, -95, 50]

Output: 152


Input: Consider Input: [27, -14, -59, -32, 27, 23, 81]


Output: 140