ILL 1982 Problem 17

(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 $Q.$

Dataset text AoPS wiki problems. Quoted with source.

Solutions

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