10 bowls with marbles in a circles
Source: Germany Federal - Bundeswettbewerb Mathematik 2011, round 1, p1
April 10, 2020
combinatorics
Problem Statement
Ten bowls are in a circle. They will go clockwise - starting somewhere filled with or marbles. You can have two choices in every move . Add a marble to neighboring shells or from two neighboring shells - if both of them are not empty - remove one marble each. Can you achieve that after finally many moves in each bowl exactly marbles lying?