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BALTIC-WAY 1990 Problem 19

  • Answer

What is the largest possible number of subsets of the set {1,2,…,2n+1}\{1,2, \ldots, 2 n+1\} such that the intersection of any two subsets consists of one or several consecutive integers?

Dataset text NuminaMath olympiads. Quoted with source.

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(n+1)^2

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