(Game) At the beginning of the game, the organisers place paper disks on the table, grouped into piles which may contain various numbers of disks. The two players take turns. On a player’s turn, their opponent selects two piles (one if there is only one pile left), and the player must remove some number of disks from one of the piles selected. This means that at least one disk has to be removed, and removing all disks in the pile is also permitted. The player removing the last disk from the table wins. 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.
Problem
Source: 2019 Dürer Math Competition Finals E1.6 E+1.6
Tags: combinatorics, game, game strategy