TOT 121 1986 Autumn J3 game with 6 x 10 pieces of chocolate
Source:
August 29, 2019
combinatoricsgamegame strategycombinatorial geometry
Problem Statement
A game has two players. In the game there is a rectangular chocolate bar, with pieces, arranged in a formation , which can be broken only along the lines dividing the pieces. The first player breaks the bar along one line, discarding one section . The second player then breaks the remaining section, discarding one section. The first player repeats this process with the remaining section , and so on. The game is won by the player who leaves a single piece. In a perfect game which player wins?{S. Fomin , Leningrad)