DE-BUNDESWETTBEWERB 2012 Problem 6
- Round 2
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?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Bundeswettbewerb Mathematik 2012 official paper, page 1.
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