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: [21, -23, -37, 52, 61, 87, -3]

Output: 124


Input: Consider Input: [-10, -61, -94, 29, -62, 93]

Output: 187


Input: Consider Input: [-69, -78, 43, -82]


Output: 125