## Sproutsn spots will last at least 2n
moves and at most 3n - 1 moves. By enumerating all possible moves,
one can show that the first player is guaranteed a win in games involving
three, four, or five spots, while the second player can always win a game
that start with one, two, or six spots. Following a 1990 computer analysis
of the game at Bell Labs out to 11 spots, David Applegate, Guy Jacobsen,
and Daniel Sleator conjectured that the first player has a winning strategy
when the number of spots divided by six leaves a remainder of three, four,
or five. ## Related category• GAMES AND PUZZLES | ||||||

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