Evolution in time of the S2 simulation of the first set. The blue and light-blue shaded areas represent the conservative and the optimistic HZ, and the blue and light-blue curves show curves of constant perihelion and aphelion, both for the conservative and the optimistic HZ. Planetary embryos are plotted as colored circles and planetesimals with black dots. The color scale represents the fraction of water of the embryos with respect to their total masses. In this case, there are two planets within the optimistic HZ with masses of 1.19 M_⊕ and 1.65 M_⊕. They present 4.51% and 39.48% of water content by mass, which represents 192 and 2326 Earth oceans, respectively. A color figure is available in the electronic version.