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RU-ALLRUSSIAN 1990 Problem 7

  • Answer

What is the largest possible value of ∣…∣la1−a2∣−a3∣−…−a1990∣|\ldots |\mathrm{la}_1 - \mathrm{a}_2| - \mathrm{a}_3| - \ldots - \mathrm{a}_{1990}| , where a1,a2,…,a1990a_1, a_2, \ldots , a_{1990} is a permutation of 1, 2, 3, ..., 1990?

Answer 1989

Dataset text NuminaMath olympiads. Quoted with source.

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1989

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