Design a basic traffic light control system using interrupt$-$based mechanism for a particular road Intersection depicted in Fig $1.$

The traffic heading towards the North and South moves simultaneously.

The traffic heading towards the East and West moves simultaneously.

It is not allowed to make a left turn.

Traffic coming from the East and West is given greater precedence than that from the North and South.

$,$ North and South Traffic $$ Priority $2$ with a rising edge trigger.

$,$ East and West Traffic $$ Priority $1$ with a falling edge trigger.

Fig. $1$

a$.$ Create a finite state machine that represents the traffic light control system. $(8$ pts$.)$

b$.$ Explain the software design of the traffic controller using flowcharts. $(7$ pts$.)$

c$.$ Write the initialization instructions. $(10$ pts$.)$

d$.$ Write ALL the ISRs. $(10$ pts$.)$