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IMO Shortlist 1982 problem 11

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Dodao/la: arhiva
April 2, 2012

1982 shortlist

(a) Find the rearrangement of that maximizes


(b) Find the rearrangement that minimizes

%V0 (a) Find the rearrangement $\{a_1, \dots , a_n\}$ of $\{1, 2, \dots, n\}$ that maximizes $$a_1a_2 + a_2a_3 + \cdots + a_na_1 = Q.$$ (b) Find the rearrangement that minimizes $Q.$