We note, however, our grid mapping does not conserve the number of electrons. This is especially obvious in the TOC figure, which shows the EDC during the transformation from three acetylene molecules into benzene. There, the net increase in the electron density between acetylene molecules (marked blue) appears to be more substantial than the decrease of the electron density (shown magenta) along the original C-C triple bond. We believe that, to overcome this, different weights need to be assigned to the points of the original rectangular grid as well as the distorted grid. One can potentially use an auxiliary grid, such as the atom-centered Lebedev grid, and project the corresponding weights onto the rectangular and distorted grids. However, it remains to be tested.