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: [82, 55, 68, 14, 15, 34, -71, -37, -63, 78]

Output: 153


Input: Consider Input: [15, -8, -11, 18, -8, 4]

Output: 29


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


Output: 129