This is a Computer Science Subject $,$ related to digital logic circuits. I need the answer quickly and i would like it hand$-$drawn.

A loading dock for large trucks is shaped as shown in Figure $1.$ Truck drivers have

been complaining to management about the severe difficulties they have been

encountering due to the blind corner at the entrance of the docking area. Management

has decided to offer an internship to a university Computer Science student to

develop a parking notification system to warn drivers when not to enter the docking

area. The proposed new system will employ four $(4)$ proximity sensors$.$ Each sensor

produces a high output signal when a truck is in one of the bays. A $$no parking$$ light

at the entrance to the lot should become illuminated when the dock is full. The

constraints on the system are as follows:

i$.$ Only three $(3)$ trucks are allowed in the docking area at one time.

ii$.$ If docking bays $1$ and $2$ are filled, no other trucks are allowed to enter.

As the lucky intern selected, your job is to design and implement the control circuit

for the proposed system. Moreover, you are limited to $2-$Input NAND gates only.

Impress your employers, by ensuring that you use as few NAND gates as possible.

Draw the circuit by hand and any other working please. This question is Computer Science based and deals with digital logic circuits.Figure $2-$ Loading Dock Layout