Types: 
- n: int
- coordinates: List[Tuple[int, int]]

Ranges: 
- 1 ≤ n ≤ 3000
- 0 ≤ x ≤ 5000
- 0 ≤ y ≤ 5000

Addtl Info: 
- No more than 10 datasets
- Each pillar appears only once or never