When the one-dimensional grids are constructed in the ADGA procedure, a VSCF calculation is carried out in each ADGA iteration using the current fitted potential in the Hamiltonian. From this VSCF calculation the averaged densities for each mode are created and used to calculate the ADGA integrals. For the higher dimensional grids the multi-dimensional averaged density is supplied as a product of the one-dimensional average densities obtained in the final iteration of the one-dimensional grids.