( and) have been taken from Ref. For previous results using the eb-MBE and db-MBE based on DFT calculations, we refer to Ref. Here, we again employ While for the eb-MBE(2) the error for these larger water clusters increased substantially compared to the water hexamers, the db-MBE(2) appears to maintain similar accuracy independent of the cluster size. Note, however, that in a previous comparison for water clusters of increasing size utilizing DFT, we found that the error of the db-MBE(2) still increases with cluster size, albeit with a significantly reduced error per fragment compared to the eb-MBE(2). Therefore, the excellent agreement observed here might partly be due to error cancelation. This is also indicated by the observation that the errors slightly increase when going from the db-MBE(2) to the db-MBE(3). Again, this might be related to inconsistencies between the approximate density functionals and HF densities in the evaluation of the density based correction.