  This paper reports that the X-ray spectrum from the Galactic Center X-ray
Emission (GCXE) is expressed by the assembly of active binaries, non-magnetic
Cataclysmic Variables, magnetic Cataclysmic Variables (X-ray active star: XAS),
cold matter and diffuse sources. In the fitting of the limited components of
the XASs, the GCXE spectrum exhibits significant excesses with $\chi^2/d.o.f.
=5.67$. The excesses are found at the energies of K$\alpha$, He$\alpha$,
Ly$\alpha$ and radiative recombination continuum of S, Fe and Ni. By adding
components of the cold matter and the diffuse sources, the GCXE spectrum is
nicely reproduced with $\chi^2/d.o.f. = 1.53$, which is a first quantitative
model for the origin of the GCXE spectrum. The drastic improvement is mainly
due to the recombining plasmas in the diffuse sources, which indicate the
presence of high-energy activity of Sgr A$^*$ in the past of $> 1000$~years.
