An integer \(N\) (2 ≤ \(N\) ≤ 2×10^5), representing some quantity or size.
A list of \(N\) tuples, each containing two integers (1 ≤ \(x_i\), \(y_i\) ≤ 10^9).

### Example Input:

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

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