Neka je
podskup od
takav da ako je
u
,
i
nisu u
. Koliko je
?
Let
be a subset of
such that if
is in
,
and
are not in
. What is
?
[lang = hr]
Neka je $S$ podskup od $\{1,2,3,…10000\}$ takav da ako je $x$ u $S$, $x+3$ i $x+4$ nisu u $S$. Koliko je $max |S|$?
[/lang]
[lang = en]
Let $S$ be a subset of $\{1,2,3,…10000\}$ such that if $x$ is in $S$, $x+3$ and $x+4$ are not in $S$. What is $max |S|$?
[/lang]
