Daniel is a Maths teacher. He often throws puzzles to his students to help them stay focused. One day he said, he will spell out a set of numbers. The students should exclude all the numbers that are divisible by five and six and then calculate the average of the remaining numbers and tell him. Help them to implement the above task.

Implement the above scenario using a TreeSet.

Component Specification: NumAvg

Type$($Class$)$

Attributes

Methods

Responsibilities

NumAvg

TreeSet numSet

Include the getter and setter method.

Note: The class and methods should be declared as public and all the attributes should be declared as private.

Requirement $1$: Add number to the TreeSet.

As per this requirement, the system should be able to add a number to the TreeSet

Component Name

Type $($Class$)$

Methods

Responsibilities

Add a number to the TreeSet

NumAvg

public void addNum$($int num$)$

This method should add the number to the TreeSet only if it is not divisible by $5$ and $6.$

Requirement $2$: Find the average of the numbers in the TreeSet.

As per this requirement, the system should be able to calculate the average of the numbers present in the TreeSet.

Component Specification: NumAvg

Component Name

Type $($Class$)$

Methods

Responsibilities

Find the average of the numbers in the TreeSet.

NumAvg

public double calAvg$()$

This method is used to find the average of the numbers in the TreeSet.

In the UserInterface class,

$1.$ Createa main method with the menu as described in the sample Input andOutput.

$2.$ Whenthe user selects option $1.$Addnumber,add the numberinto numSet.

$3.$ Whenthe user selects option $2.$FindAverage,it should display the averageof the numbers of the numSet.If the set is empty, it should display "Theset is empty".

$4.$ When the user selects option $3.$Exit,display the message "Thankyou for using the application" andterminate the program.

$5.$Option can take only values $1$ to $3.$