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Sum of sets

Source: Kürschák competition 2019 P3

February 11, 2020

combinatoricsalgebra

Problem Statement

Is it true that if

H

and

A

are bounded subsets of

\mathbb{R}

, then there exists at most one set

B

such that

a+b(a\in A,b\in B)

are pairwise distinct and

H=A+B

.

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