olymmath

CMO 1995 Problem 5

  • Day 2

Let a1,a2,⋯ ,a10a_1,a_2,\cdots ,a_{10} be pairwise distinct natural numbers with their sum equal to 1995. Find the minimal value of a1a2+a2a3+⋯+a9a10+a10a1a_1a_2+a_2a_3+\cdots +a_9a_{10}+a_{10}a_1 .

Dataset text AI-MO AoPS. Quoted with source.

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