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: [87, -19, -11, -72]

Output: 159


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

Output: 144


Input: Consider Input: [92, 0, -56, 37, -57, 45, 9]


Output: 149