To answer this question, one might first hypothesise that in order to maintain the same matching error, the number of walkers should scale with the size of the Hilbert space of the fragments, meaning that the scaling is still exponential. Nevertheless, problems still arise as to whether a reduced pre-factor exists in the exponential scaling of walkers like FCIQMC and i-FCIQMC. To answer them, seven larger systems were chosen so BE calculations can be performed on them with larger fragment sizes that contain 8, 12 or 16 atoms. Linear systems are chosen to exploit locality, while most of the atoms in the chains are hydrogen, some are replaced by either neon or fluorine atoms in a few systems, such that the Hilbert space sizes are identical for each of the fragments, which eases subsequent analysis, and how the systems are constructed is done is outlined in the Figure . BE2 and BE3 calculations are used in 8 and 12-atom system calculations, respectively.