SQLite: Find the students whose quarterly GPA has gone up every quarter they have been enrolled (their GPA in each quarter is strictly higher than their GPA in previous quarters). Recall that students may have gaps in enrollment. Hint: It may be helpful to observe that the order of occurrence of quarters in a given calendar year is in reverse alphabetical order (W > S > F). For example, the quarters occurring in 2016 are, in chronological order, W, S and F.

database schema:

The university registrar database has the following schema: student: sid (string) course: cid (string) prerequisite: cid (string), pre_cid (string) record: sid (string), cid (string),tr (string), year (integer), gra de (integer) Relation student provides the ids of all students enrolled in the university, and course provides all offered courses. Relation prerequisite provides the prerequisites pre.cid for each course cid. Relation record indicates which courses were taken by each student in a given year and quarter (F, W, S), and the grade obtained (for simplicity, grades are provided as integers 4,3,2,1,0, corresponding to A, B, C, D, F). Assume that a class can only be taken