JAVA ONLY

Magic Square Class

Write a program to test whether a square is a 3x3 magic square. A magic square is a grid with 3 rows and 3 columns, like the figure below. A magic square has both of the following properties:

the grid contains only the numbers 1 through 9

the sum of each row, each column, and each diagonal all add up to the same number

Notes:

I have provided the start to the program, which creates and displays the square.

MagicSquare.java

public class MagicSquare {

public static void main(String[] args) {

int[][] magicSquare = { {4,9,2}, {3,5,7}, {8,1,6} };

printSquare(magicSquare);

System.out.println("Magic Square? " +

isMagic(magicSquare));

}

public static boolean isMagic(int[][] square) {

// YOUR CODE HERE

return false;

}

public static void printSquare(int[][] square) {

for(int rows=0; rows

for(int cols=0; cols

cols++) {

System.out.print(square[rows][cols] + "

");

}

System.out.println();

}

}

}

You will complete the missing method: isMagic.

You should try different test values to make sure your program works properly.

Your program only has to work for 3x3 squares. It does not need to work more generally for other-sized magic squares.

If you are going to hard-code in positions, for full credit, use constants instead of numbers to improve readability.

For example, square[1][2] isn't as clear as square[MIDDLE_ROW][RIGHT_COL].