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Bundeswettbewerb Mathematik
1982 Bundeswettbewerb Mathematik
4
sum free
sum free
Source:
February 27, 2012
induction
Problem Statement
We call a set “sum free” if no two elements of the set add up to a third element of the set. What is the maximum size of a sum free subset of
{
1
,
2
,
…
,
2
n
−
1
}
\{ 1, 2, \ldots , 2n - 1 \}
{
1
,
2
,
…
,
2
n
−
1
}
.
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