An integer N (1 ≤ N ≤ 200), representing some quantity or size.
N pairs of integers (x_i, y_i) where 0 ≤ x_i, y_i < 10^4 and for all distinct i, j, x_i ≠ x_j or y_i ≠ y_j.

### Example Input:

```
4
0 0
0 1
1 0
1 1
```

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