PLEASE KEEP IT SIMPLE AND EXPLAIN EACH STEP, DO NOT USE AI$.$ The file Parameters.java contains a program to test the variable length method average from Section $7\mathrm{.}5$ of the

text. Note that average must be a static method since it is called from the static method main.

Compile and run the program. You must use the $-$source $1\mathrm{.}5$ option in your compile command.

Add a call to find the average of a single integer, say $13.$ Print the result of the call.

c$)$ Add a call with an empty parameter list and print the result. Is the behavior what you expected?

Add an interactive part to the program. Ask the user to enter a sequence of at most $20$ nonnegative integers. Your

program should have a loop that reads the integers into an array and stops when a negative is entered $($the negative number

should not be stored$).$ Invoke the average method to find the average of the integers in the array $($send the array as the

parameter$).$ Does this work?

Add a method minimum that takes a variable number of integer parameters and returns the minimum of the

parameters. Invoke your method on each of the parameter lists used for the average function. CODE: $//*******************************************************$

$//$ Parameters.java

$//$

$//$ Illustrates the concept of a variable parameter list.

$//*******************************************************$

import java.util.Scanner;

public class Parameters

$\{$

$//-----------------------------------------------$

$//$ Calls the average and minimum methods with

$//$ different numbers of parameters.

$//-----------------------------------------------$

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

$\{$

double mean$1,$ mean$2$;

mean$1=$ average$(42,69,37)$;

mean$2=$ average$(35,43,93,23,40,21,75)$;

System.out.println $("$mean$1="+$ mean$1)$;

System.out.println $("$mean$2="+$ mean$2)$;

$\}$

$//----------------------------------------------$

$//$ Returns the average of its parameters.

$//----------------------------------------------$

public static double average $($int $...$ list$)$

$\{$

double result $=0\mathrm{.}0$;

if $($list$.$length $!=0)$

$\{$

int sum $=0$;

for $($int num: list$)$

sum $+=$ num;

result $=($double$)$sum $/$ list.length;

$\}$

return result;

$\}$

$\}$One interesting application of two$-$dimensional arrays is magic squares. A magic square is a square matrix in which the sum

of every row, every column, and both diagonals is the same. Magic squares have been studied for many years, and there are

some particularly famous magic squares. In this exercise you will write code to determine whether a square is magic.

File Square.java contains the shell for a class that represents a square matrix. It contains headers for a constructor that gives

the size of the square and methods to read values into the square, print the square, find the sum of a given row, find the sum

of a given column, find the sum of the main $($or other$)$ diagonal, and determine whether the square is magic. The read method

is given for you; you will need to write the others. Note that the read method takes a Scanner object as a parameter.

File SquareTest.java contains the shell for a program that reads input for squares from a file named magicData and tells

whether each is a magic square. Following the comments, fill in the remaining code. Note that the main method reads the

size of a square, then after constructing the square of that size, it calls the readSquare method to read the square in$.$ The

readSquare method must be sent the Scanner object as a parameter.