  Discrete multiparametric 1D quantum well with PT-symmetric long-range
boundary conditions is proposed and studied. As a nonlocal descendant of the
square well families endowed with Dirac (i.e., Hermitian) and with complex
Robin (i.e., non-Hermitian but still local) boundary conditions, the model is
shown characterized by the survival of solvability in combination with an
enhanced spectral-design flexibility. The solvability incorporates also the
feasibility of closed-form constructions of the physical Hilbert-space inner
products rendering the time-evolution unitary.
