Write the expression please not an ai solution, explain it clearly thanks. Consider a relational schema for storing information related to movies: Person$($name$,$ YofB, country$\_$of$\_$birth, country$\_$of$\_$residence, bio, gender, age$)$ Country$($code$,$ country$\_$name, description$)$ Movie$($title$,$ release$\_$year, genre, budget, cost, gross$\_$earnings, country$)$ Credit$($name$,$ YofB, title, year, role$)$ Foreign key constraints: $$ Person$[$country$\_$of$\_$birth$]$ Country$[$code$]$ Person$[$country$\_$of$\_$residence$]$ Country$[$code$]$ Movie$[$country$]$ Country$[$code$]$ Credit$[$name$,$ YofB$]$ Person$[$name$,$ YofB$]$ Credit$[$title$,$ year$]$ Movie$[$title$,$ release$\_$year$]$ In addition: $$ No attributes are allowed to have NULL values. $$ Attributes YofB $($year of birth$),$ release$\_$year, budget, cost, age and gross$\_$earnings have integer values, e$.$g$.,1978,2023,1000234,26000000,37,12607000.$ All other attributes have strings as values. $$ Attribute code has as values strings such as$,$CA$,$GBR$.$ Attribute genre in table Movie has as value one of $\{$comedy$,$drama$,$tragedy$,$musical$,$horror$\}.$ Attribute role in table Credit has as value one of $\{$actor$,$director$,$assistant director$,$executive producer$,$assistant producer$,$producer$,$crew member$\}.$ Note that a person can be associated with a movie through more than one role, e$.$g$.,$ a person can both direct and executive produce a movie and thus may appear several time in table Credit in connection to a movie. $2$ Part $1.[32$ points$]$ Write Relational Algebra expressions for the following queries. Use only the operators presented in class. Do not use extended Relational Algebra operators, e$.$g$.,$ grouping, counting, etc. a$.$ Find all movies with a very diverse cast, i$.$e$.,$ a cast composed of actors residing in at least $10$ different countries. $($Note that each person has only one country of residence.$)$ For each movie, return its title and year of release. The output$/$result table should have only two attributes $($title$,$ year$\_$of$\_$release$)$ b$.$ Identify the individuals who have only directed films within a single genre, e$.$g$.,$ solely comedies or dramas. The persons returned by this query may be associated with movies they directed in other capacities as well, e$.$g$.,$ as actors, producers, etc., but this aspect is not relevant for this query. For each such person return their name and year of birth. The output$/$result table should have only two attributes $($name$,$ year$\_$of$\_$birth$)$ c$.$ Find all pairs of people where one person acted in at least two different movie directed by the other. $($Both directors and assistant directors are included.$)$ For each pair, return only the names of both individuals. The output$/$result table should have only the following attributes $($name$,$ name$),$ where the second name belongs to the person who directed the first person in at least two different movies.