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2020 IMO Problems/Problem 2

Revision as of 02:00, 23 September 2020 by Epicnumbertheory (talk | contribs)

Problem 2. The real numbers a, b, c, d are such that a≥b≥c≥d>0 and $a+b+c+d=1$. Prove that $(a+2b+3c+4d)a^a b^bc^cd^d<1$

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