IMO 1966 LL CZS1

We are given n > 3 points in the plane, no three of which lie on

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IMO 1966 LL CZS1

Origin: CZS

Problem

We are given n > 3 points in the plane, no three of which lie on a line. Does there necessarily exist a circle that passes through at least three of the given points and contains none of the other given points in its interior?