$2.$ Sketch $($hand sketch please $)$ a control circuit that meets these requirements:

a$.$ The system contains $4$ momentary pushbuttons that have multiple contacts: SW$1,$ SW$2,$ SW$3\backslash$& SWstop.

b$.$ The system has three lights: L$1,$ L$2\backslash$& L$3.$

c$.$ The system contains at least one relay.

d$.$ Lights and relay coils are powered by the same source and drawn on the same ladder, as in the machine control lab.

e$.$ All lights are initially off.

f$.$ Pressing SW$1$ turns on L$1$ if and only if both other lights are off. L$1$ is maintained on in this case.

g$.$ L$2\backslash$& L$3$ can only turn on if L$1$ is on$.$ SW$2$ turns on L$2,$ and SW$3$ turns on L$3.$ L$2\backslash$& L$3$ are maintained on in this case.

h$.$ SWstop turns off all lights, and they stay off until SW$1$ is pressed again.