An integer L (1 ≤ L ≤ 20) and an integer Q (1 ≤ Q ≤ 1,000,000) separated by a space.
A string S of length 2^L consisting of characters {'0', '1', '2', '3', '4', '5', '6', '7', '8', '9'}.
Q strings, each of length L, consisting of characters {'0', '1', '?'}.

### Example Input:

```
3 5
12345678
000
0??
1?0
?11
???
```

### Function Signature:
Write a function f(L, Q, S, complaints) that takes in the input. 
def f(L: int, Q: int, S: str, complaints: List[str]): 
    ''' 
    L: an integer 
    Q: an integer 
    S: a string 
    complaints: a list of strings 
    '''