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Coins on the round table (Posted on 2002-09-08) Difficulty: 4 of 5
This game is played by two players at a round table. They each take turns placing identical coins onto the table's surface. No two coins can overlap, and the entirety of the coin's surface must rest on the table. The loser of the game is the first person who is unable to put down a coin because there is no more room.

Which of the players has a winning strategy? What is it?

Mouse over for a hint: The player who goes first has a winning strategy.

See The Solution Submitted by levik    
Rating: 3.7692 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Win, starting anywhere | Comment 9 of 13 |
(In reply to Win, starting anywhere by Federico Kereki)

I beg to differ. It is not so clear cut, because if you (the 1st player) allow the 2nd player to play the center, he can INSTEAD play a coin the is NOT centered, but covers the exact center of a circular table.

Then it is not possible for you to play either symmetrically or the center.
____________

Best (easiest) bet is to play the center and then continue symmetrically.
  Posted by SilverKnight on 2003-11-26 11:34:43

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