Localized MOs tend to have considerably large matrix elements for single excitations and these matrix elements are non-uniform, because excitations to distant MOs are negligible (vide infra). The generally utilized uniform excitation generation for single excitations, in the case of localized orbital bases, would lead to small p gen for single excitations, due to the numerous vanishingly small single connections among distant MOs, leading to exaggeratedly large p 1 values, and overshadow any improvement of PCHB for double excitations. In these cases, the uniform excitation generator for single excitations represents a particular poor choice, and would negatively impact the entire dynamics. The present work overcome such limitation, and provides more balanced excitation generations.