Canonicalized Input Description:

An integer N (2 ≤ N ≤ 10^4), representing some quantity or size.
A list of N pairs of integers, where each integer in the pair is between 1 and 10^9.

### Example Input:

```
3
1 3
2 5
1 9
```

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