# Java - Magic Square

See the attached file.

Magic squares. An n × n matrix that is filled with the numbers 1, 2, 3, ... , n2 is a magic square if the sum of the elements in each row, in each column, and in the two diagonals is the same value. For example,

Write a program that reads in n2 values from the keyboard and tests whether they form a magic square when arranged as a square matrix. You need to test three features:

• Did the user enter n2 numbers for some n?

• Do each of the numbers 1, 2, ... , n2 occur exactly once in the user input?

• When the numbers are put into a square, are the sums of the rows, columns, and diagonals equal to each other?

If the size of the input is a square, test whether all numbers between 1 and n2 are present. Then compute the row, column, and diagonal sums. Implement a class Square with methods

public void add(int i)

public boolean isMagic()

Here is a sample program run:

Enter a sequence of integers, followed by Q:

16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1

Q

It is a magic square.

Use the following class as your main class:

import java.util.ArrayList;

import java.util.Scanner;

/**

This class tests whether a sequence of inputs forms a magic square.

*/

public class MagicSquareChecker

{

public static void main(String[] args)

{

Scanner in = new Scanner(System.in);

Square sq = new Square();

System.out.println("Enter a sequence of integers, followed by Q: ");

while (in.hasNextInt())

{

sq.add(in.nextInt());

}

if(sq.isMagic())

System.out.println("It is a magic square.");

else

System.out.println("It is not a magic square.");

}

}

You need to supply the following class in your solution:

Square.

https://brainmass.com/computer-science/arrays/java-magic-square-467521

#### Solution Summary

Java magic squares are examined in the solution.