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

Given a string s and an integer k, rearrange s such that the same characters are at least distance k from each other. If it is not possible to rearrange the string, return an empty string "".
 
Please complete the following python code precisely:
```python
class Solution:
    def rearrangeString(self, s: str, k: int) -> str:
```