Evolution in time of the semimajor axis of the planetary embryos originally located beyond the snow line for the S1 a); S2 b); and S3 c) simulations. For the S1 and S3 simulations, only the accretion seed of the most massive planet (black curve) of the system survives within the snow line at ~2 AU. For the S2 simulation, two planetary embryos migrate inside 2 AU, one of which ends up in the HZ with a water content of 44.2% by mass. A color version of this figure is available in the electronic version of the journal.