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Found problems: 1

2024 Sharygin Geometry Olympiad, 9.4
Tags: geometry , combi geo , geo
For which $n > 0$ it is possible to mark several different points and several different circles on the plane in such a way that: — exactly $n$ marked circles pass through each marked point; — exactly $n$ marked points lie on each marked circle; — the center of each marked circle is marked?