Coins on a table
Death, having given up on chess, decided to play a new game to taunt mortals with. He has a rectangular table and you take turns to place coins on the table. The last one to be able to lay down a coin wins the game. I don't need to tell you what's in store if you lose!
The Puzzle: The extraordinary claim is that one of the players (i.e. either the player to start or the second player) has a winning strategy. Determine who has the winning strategy and what it is.
The Puzzle: The extraordinary claim is that one of the players (i.e. either the player to start or the second player) has a winning strategy. Determine who has the winning strategy and what it is.
the second player has winning strategy. he can place the coin in the symetrically opposite direction where the 1st player placed. i this way second player will b the last one to place the coin on the table
ReplyDelete@divya catch is rectangle and few more polygons have center of symmetry.so as you said second player will end up by placing a coin to the symmetrical opposite position.But what if at the end first player places coin at the center of table, then he surely wins.
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