  As a consequence of Bell's theorem, the statistics of measurements on some
entangled states cannot be simulated with local hidden variables alone. The
amount of communication that must be supplied is an intuitive quantifier of
nonclassicality. While it is obvious that this amount can be very large in
general, it has been surprisingly difficult to find simple examples of quantum
correlations, whose simulation requires more than one bit of communication. In
this paper, we report the simplest example to date, which lives in the
$(5,2,5,5)$ Bell scenario [the previously known smallest case living in the
$(7,3,16,16)$ scenario]. The proof is built on the observation that finding the
largest 1-bit score is equivalent to finding the bipartition of the inputs, in
which the sum of the local scores of the two subgames is maximal.
