Based on the relational schema below:

Emp$($eid: integer, ename: string, age: integer, salary: real$)$

Works$($eid: integer, did: integer, pcttime: integer$)$

Dept$($did: integer, dname: string, budget: real, managerid: integer$)$

Express the following queries in Relational Algebra. Please make use of the aggregate relational algebra operators that were explained in class.

The "pcttime" in Works relation is the percentage of work time $($e$.$g$.,$ if an employee works for full time his $\frac{?}{?}$ her pcttime $=\%100,$ and if