Canonicalized Input Description:

An integer N (1 ≤ N ≤ 10^3), representing some quantity or size.
A list of tuples, where each tuple contains:
- Two integers x1, y1 (0 ≤ x1, y1 ≤ 10^3), representing coordinates.
- Two integers x2, y2 (0 ≤ x2, y2 ≤ 10^3), representing coordinates.

### Example Input:

```
5
0 0 1 0
1 0 1 1
1 1 2 1
1 1 1 1
2 0 2 2
```

### 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
    '''
```