Consider the following schema for a database that keeps information about business trips and their associated expenses by employees:

EMPLOYEE $($SSN$,$ Name, DeptNo, JobTitle, Salary$)$

TRIP $($TripId$,$ DepartureCity, DestinationCity, DepartureDate, ReturnDate, SSN$)$

EXPENSE

$($TripId$,$ Item, Date, Amount$)$

f$.$ Find the names of all employees who have any expense item with value "Entertainment."

g$.$ Find the destination cities of all trips taken by employees who have the job title of "Consultant."

h$.$ Find the names and departments of all employees who have a single expense item of over $$1000$ since January $1$ of this year.

i$.$ Find the items and amounts of all expenses for a trip to Cairo beginning on January $3$ of this year taken by employee Jones.

j$.$ Find the names, departments, and job titles of all employees who have any expense item with value "Service Charge" for trips taken to Melbourne last year, along with the date and amount of the expense.

Write both relational algebra queries and SQL queries for each part.