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: [-44, 48, -71, 62, 46, -69, 3, -54, 8, 73]

Output: 144


Input: Consider Input: [-46, 40, -67]

Output: 107


Input: Consider Input: [-93, 84, -81, 31, 78, 75, 23, -86, 63]


Output: 177