Accommodation

There are $B$ boys and $G$ girls who would like to take accommodation in a hotel. The hotel has infinitely many rooms, and each room with a positive number of occupants must satisfy the following conditions: - It must contain **at least** $X$ boys. - It must contain **at least** $Y$ girls. - It can contain **at most** $N$ people in total. Determine the minimum number of rooms required to accomm