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: [-37, -1, -23, 13, 54, -16, -87]

Output: 141


Input: Consider Input: [-7, 71, -1, -41, 33, -32]

Output: 112


Input: Consider Input: [42, 23, 29]


Output: 19