2019 plates in a circle with one cake in each, numbers from 1-16
Source: St. Petersburg 2019 9.7
May 2, 2019
combinatoricsgameminimumgame strategy
Problem Statement
In a circle there are plates, on each lies one cake. Petya and Vasya are playing a game. In one move, Petya points at a cake and calls number from to , and Vasya moves the specified cake to the specified number of
check clockwise or counterclockwise (Vasya chooses the direction each time). Petya wants at least some pastries to accumulate on one of the plates and Vasya wants to stop him. What is the largest Petya can succeed?