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: [71, 66, 51]

Output: 20


Input: Consider Input: [67, 5, 67, -63, -36, 74]

Output: 137


Input: Consider Input: [-52, -77, 77, 100, 96, -75, -5, 77, 12]


Output: 177