This is a circuit that looks very much like the canonical series circuit, but the switches and lights don’t do what’s expected. There has to be a deeper level of knowledge and understanding to figure it out.

Here’s the apparent circuit.

The puzzle is, what components can be added to this circuit (in Fig 1) to give the behavior shown in fig. 2 (All three circuits)? One could think about the effects of common components such as resistors, inductors, capacitors, diodes, transistors, etc. I can tell you it doesn’t involve magnets or radio frequency transmitters. If you figured it out, check the solution. If you haven’t, I can give you three hints:

Hint 1  [?]

Hint 2 [?]

Hint 3 [?]

Fig.  2 [NOTE: These circuits are incomplete. It is merely a depiction of the desired result. Your job is to find out what has to be added to the circuit in fig 1 to achieve this behavior.]