MathDB
2player game with 4 piles of paper disks onto the table

Source: 2020 Dürer Math Competition Finals E+ 1. 6

November 30, 2020
combinatoricsgamegame strategy

Problem Statement

(Game) At the beginning of the game the organisers place 44 piles of paper disks onto the table. The player who is in turn takes away a pile, then divides one of the remaining piles into two nonempty piles. Whoever is unable to move, loses.
Defeat the organisers in this game twice in a row! A starting position will be given and then you can decide whether you want to go first or second.