Thus far, for the regularized DSD functionals, we have used the parameter for exact exchange same as for their unregularized forms (i.e., cX,HF = 0.69, 0.68, 0.71, and 0.75 for revDSD-PBEP86-D3BJ, revDSD-PBE-D3BJ, revDSD-BLYP-D3BJ, and xDSD75-PBEP86-D3BJ, 39 respectively). Our next objective is to check whether or not the cX,HF Hartree-Fock exchange prefactors of the unregularized forms are still optimal for the new regularized functionals? To answer this question, we have considered seven cX,HF ranging from 0.5 to 1.0, and the κDSDX-PBEP86-D3BJ functional together with its three other variants: κDHX-PBEP86-D3BJ, κDODX-PBEP86-D3BJ, and κnoDispSDX-PBEP86 (X represents the percentage of HF exchange used. Only one joint set of electronic structure calculations is required for all variants).