CAPS 2018 Problem 5
In a rectangle there is a polyline of length , which can have self-intersections. Show that there exists a line parallel to two sides of the rectangle, which intersects the other two sides in their interior points and intersects the polyline in fewer than points.
Proposed by Josef Tkadlec, Czechia and Vojtech Bálint, Slovakia
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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