Upper panel: mass accreted as a function of the actual mass (both in solar mass units) for mMS (green open circles) and bMS (blue dots) synthetic stars, and Y_accr = 0.44. The red dotted line is the upper bound of the region where the mass M_i of the accretors is ≥0.1  M_⊙ (see text for details). Lower panel: mass function of the accretors (bin size equal to 0.01  M_⊙). The solid green line corresponds to the seeds of mMS stars, the dotted line is the counterpart for bMS stars. The quantity N^∗ corresponds to the number of objects with mass M_i, normalized to the actual number of either bMS or mMS stars, multiplied by a factor 10. The dashed line displays a mass function dn/dm ∝ m^-0.9 (see text for details).