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KöMaL 2018 B4938

    It is known that it is possible to draw the complete graph with 77 vertices on the surface of a torus (see the Császár polyhedron, for example). 7 points are marked on the side of a mug. We want to connect each pair of points with a curve, so that the curves have no interior points in common. What minimum number of these curves need to lead across the handle of the mug?

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