Does there exist an integer
which satisfies the following condition? The set of positive integers can be partitioned into
nonempty subsets, such that an arbitrary sum of
integers, one taken from each of any
of the subsets, lies in the remaining subset.
%V0
Does there exist an integer $n > 1$ which satisfies the following condition? The set of positive integers can be partitioned into $n$ nonempty subsets, such that an arbitrary sum of $n - 1$ integers, one taken from each of any $n - 1$ of the subsets, lies in the remaining subset.
Školjka