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Tuymaada 1999, Q3

Source: Tuymaada 1999, Q3

July 31, 2012
combinatorics unsolvedcombinatorics

Problem Statement

What maximum number of elements can be selected from the set {1,2,3,…,100}\{1, 2, 3, \dots, 100\} so that no sum of any three selected numbers is equal to a selected number?
Proposed by A. Golovanov
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