n bowls on a round table, marbles game
Source: Germany Federal - Bundeswettbewerb Mathematik 2012, round 2, p2
April 15, 2020
combinatoricsgame
Problem Statement
On a round table, bowls are arranged in a circle. Anja walks around the table clockwise, placing marbles in the bowls according to the following rule:
She places a marble in any first bowl, then goes one bowl further and puts a marble in there. Then she goes two shells before putting another marble, then she goes three shells, etc. If there is at least one marble in each shell, she stops.
For which does this occur?