In order to hop 8 units, you can do:
1 two-units hops, 2 three-units hops
4 two-units hops
1 one-unit hops, 2 two-units hops, 1 three-units hops
2 one-unit hops, 2 three-units hops
2 one-unit hops, 3 two-units hops
3 one-unit hops, 1 two-units hops, 1 three-units hops
4 one-unit hops, 2 two-units hops
5 one-unit hops, 1 three-units hops
6 one-unit hops, 1 two-units hops
8 one-unit hops
