Canonicalized Input Description:

An integer N (1 ≤ N ≤ 10^3), representing some quantity or size.
A list of tuples, each containing 4 integers (X1, Y1, X2, Y2) where (-10^4 ≤ X1, Y1, X2, Y2 ≤ 10^4).

### Example Input:

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

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