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: [30, -63, 23, 51, 7, 13, -52, 86, -32]

Output: 149


Input: Consider Input: [-99, 90, -32]


Output: 189