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Combi geometry in Sharygin's olympiad 2024

Source: 9.4 of XX Geometrical Olympiad in honour of I.F.Sharygin

August 6, 2024
Combi Geogeogeometry

Problem Statement

For which n>0n > 0 it is possible to mark several different points and several different circles on the plane in such a way that: — exactly nn marked circles pass through each marked point; — exactly nn marked points lie on each marked circle; — the center of each marked circle is marked?