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

You are given an integer array nums.
You should move each element of nums into one of the two arrays A and B such that A and B are non-empty, and average(A) == average(B).
Return true if it is possible to achieve that and false otherwise.
Note that for an array arr, average(arr) is the sum of all the elements of arr over the length of arr.
 
Please complete the following python code precisely:
```python
class Solution:
    def splitArraySameAverage(self, nums: List[int]) -> bool:
```