Generalized Geography
Sheldon and Leonard are playing Geography on a long ride. The rules of the game are simple:
- They take turns naming cities.
- On their turn, each person picks a city name which starts with the last letter of the city name just mentioned.
- No one can repeat a city that has already been mentioned.
In Sheldon and Leonard's vocabulary, there are only the following 10 cities:
- Ann Arbor, Royal Oak, Rochester, Kalkaska, Kalamazoo, Oxford, Allegan, Dearborn, Detroit, Northville.
Sheldon starts the game by picking Ann Arbor .
Assuming that both play optimally, who'd win?
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