  The parabolic-hyperbolic form of the constraints and superposed Kerr-Schild
black holes have already been used to provide a radically new initialization of
binary black hole configurations. The method generalizes straightforwardly to
multiple black hole systems. This paper is to verify that each of the global
Arnowitt-Deser-Misner quantities of the constructed multiple black hole initial
data can always be prescribed, as desired, in advance of solving the
constraints. These global charges are shown to be uniquely determined by the
physical parameters of the involved individual Kerr-Schild black holes.
