Answer the following questions using relational algebra expressions. You are encouraged to use relational algebra expressions to represent intermediate results if needed.

Find all pairs of students who have borrowed the same book from the same library. List these pairs of StudentIDs.

Consider the following database schema for a university library system BOOK BooklD, Title, Publisher PK: (BooklD) AUTHOR (BookD, AuthorID, Name PK: BookID, AuthorlD) FK: BooklD BOOKBookID STUDENTStnD, Name, Address, Phone, DoB) PK:nID) LIBRARY = {Branch!D, BookID) PK: (BranchID, BookID FK: BookIDBOOKBookID LOAN- BooklD, StudentlD, BranchlD, Start Date, DueDate PK: (BookID, StudentID, BranchD, StartDate K: BooklD C BOOK BookIDI, StudentID C STUDENT StudentlD), BranchlID, BookID) CLIBRARY BranchlD,BooklD