Alice and Bob have a set of circular plates of identical size and shape, and also a rectangular table. They alternate turns placing plates on the table so that no two plates overlap each other. The player who cannot place a plate on the table (due to lack of space) loses. Who has the winning strategy and describe this strategy?
(Assume that both Alice and Bob are extremely careful people and can place plates with exact precision, and that the table is big enough to hold at least one plate).
**There is a general strategy for one of the players, that does not require measure table and plate dimension.
Placing plates on the table (math)
2008-08-09 4:02 am
回答 (2)
2008-08-09 4:07 pm
✔ 最佳答案
The only thing I can think of is to go second because you have a 2 in 3 chance of the table holding an even number of plates. If the table dimensions are even by even, the area is even (and the second player will win) If it's even by odd, the area is even (again, second player wins), but if it's odd by odd, the area is odd and the person who goes second will lose.
2014-12-11 8:25 am
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