Solve the following Crypto Arithmetic problem $(20$ points$)$

Each letter must be assigned a value between $0$ and $9.$

Each digit $0-9$ can only be used once.

You are required to show all your work.

If you simply list the letters and their assigned values you will get a $0.$

BASE $+$ BALL $=$ GAMES

Formulation this problem as a CSP in terms of variables,

domains, and constraints $(20$ points$)$

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 $\frac{1}{2}$ 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$)$