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: [-67, -72, -45, 64]

Output: 136


Input: Consider Input: [-53, 5, -83, 89, -40, 83, 20, -19, -61, 13]

Output: 172


Input: Consider Input: [-71, 89, -41, -25, -77, 49]


Output: 166