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

Given a string s, you have two types of operation:

Choose an index i in the string, and let c be the character in position i. Delete the closest occurrence of c to the left of i (if exists).
Choose an index i in the string, and let c be the character in position i. Delete the closest occurrence of c to the right of i (if exists).

Your task is to minimize the length of s by performing the above operations zero or more times.
Return an integer denoting the length of the minimized string.
 
Please complete the following python code precisely:
```python
class Solution:
    def minimizedStringLength(self, s: str) -> int:
```