An integer N (2 ≤ N ≤ 2 × 10^5), representing some quantity or size.
N pairs of integers (x_i, y_i) where each integer is between 1 and 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
    '''
```