On her walk through the park, Hansa collected $50$ coloured leaves, all either maple or oak. She sorted them by category when she got home, and found the following:
- The number of red oak leaves with spots is even and positive.
- The number of red oak leaves without any spot equals the number of red maple leaves without spots.
- All non-red oak leaves have spots, and there are five times as many of them as there are red spotted oak leaves.
- There are no spotted maple leaves that are not red.
- There are exactly $6$ red spotted maple leaves.
- There are exactly $22$ maple leaves that are neither spotted nor red.
How many oak leaves did she collect?
- $22$
- $17$
- $25$
- $18$