course$($cpsc$131).$

course$($cpsc$335).$

course$($cpsc$375).$

course$($cpsc$481).$

course$($cpsc$483).$

course$($math$338).$

prereq$($cpsc$375,$ cpsc$131).\%$ cpsc$375$ has cpsc$131$ as a prerequisite

prereq$($cpsc$375,$ math$338).$

prereq$($cpsc$481,$ cpsc$335).$

prereq$($cpsc$481,$ math$338).$

prereq$($cpsc$483,$ cpsc$375).$

$1.$ Write a Prolog program that will answer the queries to the situations above.

a$.$ Give the Prolog program which will include:

$$ i$.$ Facts.

$$ ii$.$ Rules that can be used to answer the queries: $(1)$ all courses that can be taken, and $(2)$ all courses that have already been taken. To be added.