Canonicalized Input Description:

An integer M (1 ≤ M ≤ 100), representing some quantity or size.
An integer N (1 ≤ N ≤ 100), representing some quantity or size.
A list of tuples containing two integers, each tuple representing a coordinate (x, y) with 1 ≤ x ≤ M and 1 ≤ y ≤ N.
A list of tuples containing two integers, each tuple representing a coordinate (x, y) with 1 ≤ x ≤ M and 1 ≤ y ≤ N.

### Example Input:

```
6
6
1 1
1 2
1 3
2 1
2 2
2 3
4 4
5 5
6 6
1 3
5 3
```

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