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%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
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\section{Twenty-sixth International Olympiad, 1985}
1985/1. A circle has center on the side $AB$ of the cyclic quadrilateral $%
ABCD.$ The other three sides are tangent to the circle. Prove that $%
AD+BC=AB. $
1985/2. Let $n$ and $k$ be given relatively prime natural numbers, $k