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INMO 1993 Problem 3

    If a,b,c,d∈R+a,b,c,d \in \mathbb{R}_{+} and a+b+c+d=1a+b +c +d =1 , show that ab+bc+cd≤14.ab +bc +cd \leq \dfrac{1}{4}.

    Dataset text AI-MO AoPS. Quoted with source.

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