(the Greek demigods thought that Mount Othrys just crumbled into ruins while the Roman demigods thought that Kronos just disappeared, but actually the Greeks destroyed Kronos and his army, and the Romans destroyed Mount Othrys.)

Right after the Romans destroyed Mt. Othrys.

Kronos' palace was in ruins now, along with his black throne and the Titan Krios. The romans having deafeated the Krios and the monsters still there before taking down the palace/temple.

So now the Romans were searching down the ruins to hunt down the last monsters, taking care of their injuried people and counting deaths. The Greeks were doing the same on their side tough they were waiting for Percy and the others to come down from Olympus.

Jason Grace, the Praetor, and a few other Romans were talking together as they were helping other Roman campers.