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: [17, -82, 53, 100, 39, -67, -31]

Output: 182


Input: Consider Input: [13, 23, 33, 65, 22, -1, 81, -90]

Output: 171


Input: Consider Input: [64, -35, -83, -91, 35, 83, 12, 56]


Output: 174