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: [-1, -63, -5, 63]

Output: 126


Input: Consider Input: [-77, -28, -47, 40, 12, 76]

Output: 153


Input: Consider Input: [-74, -13, -57, 17, -97, 84, -52, -45]


Output: 181