MathDB
Bulguaria 3

Source: BMO Problem 3

May 15, 2005
algebra proposedalgebra

Problem Statement

Let M=(0,1)∩QM=(0,1)\cap \mathbb Q. Determine, with proof, whether there exists a subset A⊂MA\subset M with the property that every number in MM can be uniquely written as the sum of finitely many distinct elements of AA.
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