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BALTIC-WAY 1995 Problem 6

    Prove that for positive a,b,c,da, b, c, d

    a+ca+b+b+db+c+c+ac+d+d+bd+a≥4.\frac{a+c}{a+b}+\frac{b+d}{b+c}+\frac{c+a}{c+d}+\frac{d+b}{d+a} \geq 4 .

    Dataset text NuminaMath olympiads. Quoted with source.

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