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: [-10, 64, 98, 58, 70, -20, -38, -61]

Output: 159


Input: Consider Input: [97, 80, -25]

Output: 122


Input: Consider Input: [97, -40, 3, 3, 36, 76, 2, -31, 36]


Output: 137