  We study the global behavior of solutions to the focusing generalized Hartree
equation with $H^1$ data at mass-energy threshold in the inter-range case. In
the earlier works of Arora-Roudenko [Arora-Roudenko 2021], the behavior of
solutions below the mass-energy threshold was classified. In this paper, we
first exhibit three special solutions: $e^{it} Q$, $Q^\pm$, where $Q^\pm$
exponentially approach to the $e^{it} Q$ in the positive time direction, $Q^+$
blows up and $Q^-$ scatters in the negative time direction. Then we classify
solutions at this threshold, showing that they behave exactly as the above
three special solutions up to symmetries, or scatter or blow up in both time
directions. The argument relies on the uniqueness and non-degeneracy of ground
state, which we regard as an assumption for the general case.
