Please solve the programming task below using a self-contained code snippet in a markdown code block.

You are given an integer array nums sorted in non-decreasing order.
Build and return an integer array result with the same length as nums such that result[i] is equal to the summation of absolute differences between nums[i] and all the other elements in the array.
In other words, result[i] is equal to sum(|nums[i]-nums[j]|) where 0 <= j < nums.length and j != i (0-indexed).
 
Please complete the following python code precisely:
```python
class Solution:
    def getSumAbsoluteDifferences(self, nums: List[int]) -> List[int]:
```