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: [18, -36, -8, -89, -50, -51, 7]

Output: 107


Input: Consider Input: [13, -41, -32, 86, 38, -40]

Output: 127


Input: Consider Input: [-45, 8, -22]


Output: 53