olymmath

RU-ALLRUSSIAN 1978 Problem 12

    Given a set of n non- intersecting segments in the plane. No two segments lie on the same line. Can we successively add n- 1 additional segments so that we end up with a single non- intersecting path? Each segment we add must have as its endpoints two existing segment endpoints.

    Dataset text NuminaMath olympiads. Quoted with source.

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