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: [45, -54, -13]

Output: 99


Input: Consider Input: [-81, -66, -77, -7, 94, -57, 97, 66, -100, 1]

Output: 197


Input: Consider Input: [-59, 74, -6, -37, 30, 3, -17, -47, 74, 90]


Output: 149