Formulation this problem as a CSP in terms of variables, domains, and constrains. CSP: event scheduling. There are $8$ events: E$1,$ E$2,$ E$3,$ E$4,$ E$5,$ E$6,$ E$7,$ and E$8$ and two event rooms: RoomA and

RoomB.

Each event must be scheduled within the same $3-$day window.

We must find an assignment that meets the following constraints:

$$Events E$1,$ E$2,$ and E$3$ are$1$ day events.

$$Events E$4,$ E$5,$ E$6,$ E$7,$ and E$8$ are $(1)/(2)$ day events.

$$E$3$ must occur before E$4.$

$$E$2$ can not take place in the same room used for events E$5$ and E$7.$

$$E$8$ can not take place on the same day as events E$1,$ E$2,$ and E$7.$

$$ What are the variables?

$$ What is the domain?

$$ Describe all the implicit constraints

$$ Provide an example of an explicit constraint

$$ Solve the CSP $($show all steps$)$