  We show that with high probability we can build a Hamilton cycle after at
most $1.85 n$ rounds in a particular semi-random model. In this model, in one
round, we are given a {uniform random} $v\in[n]$ and then we can add an
{arbitrary} edge $\{v,w\}$. Our result improves on $2.016 n$ in a recent paper
of Gao, MacRury, and Pralat.
