### Canonicalized Input Description:

An integer N (2 ≤ N ≤ 10^5), representing some quantity or size.
N lines, each containing four integers x1, y1, x2, y2 (0 ≤ x1, y1, x2, y2 ≤ 100), where (x1, y1) is not equal to (x2, y2).

### Example Input:

```
4
2 0 2 25
0 30 15 20
16 20 5 15
23 0 23 30
```

### Function Signature:

Write a function f(N, segments) that takes in the input.
```python
def f(N: int, segments: List[Tuple[int, int, int, int]]):
    ''' 
    N: an integer 
    segments: a list of tuples, each containing four integers 
    '''
```