### Input Description:

1. An integer \(N\) (2 ≤ \(N\) ≤ 2×10^5), representing some quantity or size.
2. \(N-1\) pairs of integers (a_i, b_i) (1 ≤ a_i, b_i ≤ N), representing connections between entities.
3. A string \(s\) of length \(N\) consisting of characters '0' and '1'.

### Example Input:

```
4
1 2
1 3
1 4
1100
```

### Function Signature:

Write a function `f(N, connections, s)` that takes in the input.
```python
def f(N: int, connections: List[Tuple[int, int]], s: str):
    ''' 
    N: an integer 
    connections: a list of tuples, each containing two integers
    s: a string of '0's and '1's
    '''
```