please follow the instructions and answer in relational algebra. thank you and show your work

Problem 1. (80 points) Consider the relational database defined below: create table passenger ( passenger_ID varchar (10), passenger_name varchar (30), passenger_city varchar (30), primary key (passenger_ID)); create table seat ( train_number varchar(10), seat number varchar(10), primary key (train_number, seat number)); create table reservation ( reservation_number varchar(10), passenger_ID varchar (10), train_number varchar(10), seat number varchar(10), departure_station varchar(10), departure_time timestamp arrival station varchar(10), arrival_time timestamp, fare numeric (8, 2), primary key (reservation_number), foreign key (passenger_ID) references passenger , foreign key (train_number, seat_number) references seat); Express in SQL each of the following queries: Problem 2. (20 points) Consider the relational database defined in Problem 1. Express in rela- tional algebra each of the following queries: (a) (10 points) Show the train number of each train that has more than 1000 seats. (b) (10 points) Find the train(s) with the largest number of seats (i.e., trains with more seats or the same number of seats compared to every other train). For each of these trains, show the train number