One computer.

It has multiple fiber-optic transport cards that handle keyboard/video/mouse.
The fiber is run to every room.

At the fiber jack in the room, you plug in a KVM dongle.

You can then set up TV's or monitors where ever you want and do full, shared computing.

Use wireless keyboard/mouse to get to the KVM dongle on the wall jack.

Each user is allocated his own processor QoS so that one person can't hog all of the resources.