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: [82, 72, -2, 65, -49, 8, -97]

Output: 179


Input: Consider Input: [-12, 31, -16, -83]

Output: 114


Input: Consider Input: [16, -68, -70, -36]


Output: 86