Please re check the answer given and confirm with an expert. A database of movies currently showing in the city has a table of the form playing $($Title$,$ Theatre, Location$),$ where Title is the name of the movie, Theatre is the name of the cinema theatre and Location is the place where the theatre is located $($a mall or multiplex$).$

We assume that no pair of movies currently running have the same title and no two cinema theatres have the same name. A cinema theatre may be showing different movies in different time slots, but no location has two cinema theatres showing the same movie.

X$)$ What functional dependencies can you infer from these constraints?

B$)$ Compute a BCNF decomposition of the table Playing.

C$)$ Explain whether your BCNF decomposition is dependency preserving.

D$)$ Test if your decomposition using test for lossless join property algorithm.