MathDB
Sets and sums

Source: 239 MO 2024 J7

May 22, 2024
combinatorics

Problem Statement

Prove that there exists a positive integer k>100k>100, such that for any set AA of kk positive reals, there exists a subset BB of 100100 numbers, so that none of the sums of at least two numbers in BB is in the set AA.
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