Write a complete C or C$++$ program to implement student directory. Consider the structure fields given below. Your program should have the following menu. Write necessary user defined functions for each of the menu entries: Menu:$1-$ Add a new student to directory$2-$ Delete a student from the directory$3-$ List available students$4-$ Search a student: A Search according to student id B Search according to student name$5-$ Update student information$6-$ Sort the listA Sort according to student id $($ascending order$)$B Sort according to student name $($alphabetic order$)$C Sort according to registration year $($descending order$)7-$ Display the student information holding max. cgpa$8-$ Quit struct date $\{$ int day, month, year; $\}$;struct student $\{$ int std$\_$id; char std$\_$name$[20],$ std$\_$surname$[20]$; struct date reg$\_$date; float cgpa; $\}$student$\_$directory$[100]$;