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: [-40, 78, 1, -35]

Output: 118


Input: Consider Input: [91, -44, -71, 18]

Output: 162


Input: Consider Input: [-38, -55, 55, -12, -66, -72, -1, -67]


Output: 127