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: [15, -82, 77, 76, 6, -84, -2, 50, 85]

Output: 169


Input: Consider Input: [89, 84, 85]

Output: 5


Input: Consider Input: [63, -54, 100]


Output: 154