Create an inner public class named Student $($not static$).$ The Student class should have a static variable, numStudent, and five instance variables. a$.$ Write the following variables: Static variable, numStudent: the number of the student objects that have been created, static, int, initial value $=0.$ Instance variables $$ name: the student$$s full name, String, e$.$g$.,$John Doe$,$ must be specified when instantiated. $$ id: the student$$s id$,$ String, created based on numStudent, e$.$g$.,$ the first student object$$s id should be $1,$ the second student object$$s id should be $2.$ major: the student$$s major, String, must be specified when instantiated. $$ gpa: the student's current gpa, double, must be specified when instantiated. $$ username: String, each student is assigned an automatically generated username by joining their first name, last name, and student id together. b$.$ Write the constructor. c$.$ Write a public get method for each attribute and a public set method for name and major. d$.$ Write a public method called scholarship$()$ that can determine if a student is qualified for a STEM scholarship. If the student$$s gpa is greater than $3\mathrm{.}8$ and their major is either Mathematics, Cybersecurity, or Computer Science, return true. Otherwise, return false.