Sato, Yato and Seiichi followed the group till they arrived at an isolated basketball court, quite some distance away from the dorms.
Though a lot had happened after the Great Reparation, with a lot of knowledge and info lost, a majority of knowledge and technology survived the war. This was because unlike the Medieval and Classical era where information and knowledge were stored in papers, information was stored in much advanced systems like hard-drives, cloud, flash drives and more. So even after the damage that wrecked the Earth, not all was lost except a few secluded and concealed ones[1]. Information regarding Sports was one such that wasn't lost and as the world settled down, apart from the inclusion of a few new ones, these 'old' sports were brought back. Basketball was one such activity and the Shinjuku School of Engineering and Mechanics adopted this sport into their curriculum.