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An algorithm is developed by which two nucleon efFective interactions are constructed to fit onand off-shell t and-/or g-matrix elements. The effective interaction is defined as plane-wave matrix elements of local operators that may have explicit energy and medium dependences. It comprises central, tensor, spin-orbit, quadratic spin-orbit, and angular momentum square operators, all with Yukawa form factors. As examples, the Paris and Bonn potentials are used to construct t matrices for projection onto chosen forms of efFective interactions.