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: [12, -63, -7, 57, 52, 63]

Output: 126


Input: Consider Input: [-73, 89, 45]

Output: 162


Input: Consider Input: [71, 20, -78, 84]


Output: 162