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any 1994-gon may be cut in n cyclic quadr. (I Soros Olympiad 1994-95 R1 10.9)

Source:

July 31, 2021
combinatoricsgeometrycombinatorial geometrycyclic quadrilateral

Problem Statement

Prove that for all natural n6000n\ge 6 000 any convex 19941994-gon can be cut into nn such quadrilaterals thata circle can be circumscribed around each of them