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: [-7, 54, -70]

Output: 124


Input: Consider Input: [55, -61, 31, -16, -8, 53, 26, -89]

Output: 144


Input: Consider Input: [-32, 94, 5, 74, 43]


Output: 126