DE-BUNDESWETTBEWERB 2007 Problem 1
- Round 1
Consider a regular polygon with 2007 vertices. The natural numbers shall be distributed across the vertices and edge midpoints such that for each side the sum of its three numbers (two end points, one side center) has the same value. Show that such an assignment is possible.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Bundeswettbewerb Mathematik 2007 official paper, page 1.
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