Write a program that prompts the user to enter an integer number $n$ that is greater than $2.$ If not a valid number, looping till you get a valid one. Then, use LOOPING to calculate the sum of $\frac{1\mathrm{.}0}{2}+\frac{1\mathrm{.}0}{3}+\frac{1\mathrm{.}0}{4}+$dots$+\frac{1\mathrm{.}0}{n}.($note: have to use looping for credit$)$ USE THE STARTER CODE BELOW

This program will calculate the sum of $\frac{1}{2}+\frac{1}{3}+$dots$\frac{1}{n}$ with any given integer number $n.$

Please enter an integer greater than $2$

$0$

Your number is not greater than $2.$ Please enter a new number:

$1$

Your number is not greater than $2.$ Please enter a new number:

$2$

Your number is not greater than $2.$ Please enter a new number:

$6$

The result of $\frac{1}{2}+\frac{1}{3}$dotsdots$+\frac{1}{6}$ is $1\mathrm{.}45//$starter code

import java.util.Scanner;

public class Test$2$Q$1\{$

public static void main$($String$[]$ args$)\{$

System.out.println$("$This program will calculate the sum of $\frac{1\mathrm{.}0}{2}+\frac{1\mathrm{.}0}{3}+$dots$\frac{1\mathrm{.}0}{n}$

with any given integer number n$.")$;

Scanner input $=$ new Scanner$($

System.in$)$;

int $n=0$;

System.out.println$("$Please enter an integer greater than $2")$;

$//$ first, looping to get a valid number $($hint: use input.hasNextInt$()$ and$/$or use while

$//2$nd$,$ use looping to calculate the sum of $\frac{1\mathrm{.}0}{2}+\frac{1\mathrm{.}0}{3}+\frac{1\mathrm{.}0}{4}$dots$+\frac{1\mathrm{.}0}{n}.$

$\}$