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: [59, -4, 23, 99, -65, -22, -15, -15, 90]

Output: 164


Input: Consider Input: [17, 81, -57]

Output: 138


Input: Consider Input: [-74, 56, -96, -81, -37, -97, -6, 31]


Output: 153