JAVA TASK:
Create Java application capable of solving a 3×3 square filled with digits in order to determine if it is a magic square. User should be able to access such functionality as: filling the square with numeric values, checking the values in the current square, and checking the current square for being a magic square.
SOLUTION:
In this sample we are going to use arrays, so we will proceed with importing java.util.Arrays. The main loop of our program will correspond to four actions: “new” (begin filling a new int square), “show” (display the values of the current square), “info” (determine the sums of digits in rows, columns, and diagonals of square, in order to determine if it’s a magic one), and “exit” (exits the main loop and application).
Obviously, until we haven’t filled a square, “show” and “info” commands should not be available. We will use a boolean variable as flag to enable these two later:
//flag which determines whether sqr array is filled with numbers boolean existingsqr = false;
This will result in the following structure for messages informing the user:
System.out.println("Input \"new\" to start filling new 3x3 square");
if(existingsqr)
System.out.println("Input \"show\" to display existing square");
if(existingsqr)
System.out.println("Input \"info\" to display info about existing square");
System.out.println("Input \"quit\" for exiting the application");
We can fill a new square with:
System.out.println("Input 9 numbers ");
for (int i = 0; i < sqrsize; i++)
{
for (int j = 0; j < sqrsize; j++)
{
System.out.println("Input value for row " + (i+1) + " column " + (j+1));
sqr[i][j] = in.nextInt();
}
}
After this we enable the aforementioned flag:
existingsqr = true;
We can display the current square with:
System.out.println("Current square:");
System.out.println(sqr[0][0]+" " +sqr[0][1]+" " +sqr[0][2]);
System.out.println(sqr[1][0]+" " +sqr[1][1]+" " +sqr[1][2]);
System.out.println(sqr[2][0]+" " +sqr[2][1]+" " +sqr[2][2]);
The we can count the sums of elements of this square (rows, columns, and diagonals respectively) with:
int[] sums_rows = new int[sqrsize];
Arrays.fill(sums_rows, 0);
int[] sums_columns = new int[sqrsize];
Arrays.fill(sums_columns, 0);
int[] sums_diagonals = new int[2];
Arrays.fill(sums_diagonals, 0);
for (int i = 0; i < sqrsize; i++) {
for (int j = 0; j < sqrsize; j ++) {
sums_rows[i] += sqr[i][j];
}
System.out.println("the sum of elements of row " + (i+1) + " :\n" + sums_rows[i]);
}
for (int j = 0; j < sqrsize; j++) {
for (int i = 0; i < sqrsize; i ++) {
sums_columns[j] += sqr[i][j];
}
System.out.println("the sum of elements of column " + (j+1) + " :\n" + sums_columns[j]);
}
for (int i = 0; i < sqrsize; i++) {
sums_diagonals[0] += sqr[i][i];
}
System.out.println("the sum of diagonal 1 " + "\n" + sums_diagonals[0]);
for (int i = 0; i < sqrsize; i++) {
sums_diagonals[1] += sqr[i][(sqrsize-1)-i];
}
System.out.println("the sum of diagonal 2 " + "\n" + sums_diagonals[1]);
After this we need to compare the sums we have just found. We will assume that it is magic square straight away:
boolean isMagicSquare = true;
Then once even a one sum of the ones found isn’t equal to the others, we assume that the square is not a magic one:
int comparedSum = sums_rows[0];
for (int i = 1; i < sqrsize; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_rows[i]);
}
for (int i = 0; i < sqrsize; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_columns[i]);
}
for (int i = 0; i < 2; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_diagonals[i]);
}
Therefore, the final code for our application (with console window format in mind) will look like this:
package testproject3;
//importing Scanner class
import java.util.Scanner;
//importing Array tools
import java.util.Arrays;
//importing packages used for detecting key events
import java.awt.Toolkit;
/**
*
* @author User
*/
public class TestProject3 {
/**
* @param args the command line arguments
*/
public static void main(String[] args) {
// TODO code application logic here
//a strings type variable used to store text
String textvar = "";
//flag which determines whether sqr array is filled with numbers
boolean existingsqr = false;
//array for storing magic square
int [] [] sqr = new int [3][3];
//used in for cycles
int sqrsize = sqr.length;
//creating new scanner object which takes InputStream as parameter
Scanner in = new Scanner(System.in);
do
{
System.out.println("Input \"new\" to start filling new 3x3 square");
if(existingsqr)System.out.println("Input \"show\" to display existing square");
if(existingsqr)System.out.println("Input \"info\" to display info about existing square");
System.out.println("Input \"quit\" for exiting the application");
textvar = in.nextLine();
if("new".equals(textvar))
{
System.out.println("Input 9 numbers ");
for (int i = 0; i < sqrsize; i++)
{
for (int j = 0; j < sqrsize; j++)
{
System.out.println("Input value for row " + (i+1) + " column " + (j+1));
sqr[i][j] = in.nextInt();
}
}
existingsqr = true;
System.out.println("Thanks!");
System.out.println();
}
else if("show".equals(textvar) && existingsqr)
{
System.out.println("Current square:");
System.out.println(sqr[0][0]+" " +sqr[0][1]+" " +sqr[0][2]);
System.out.println(sqr[1][0]+" " +sqr[1][1]+" " +sqr[1][2]);
System.out.println(sqr[2][0]+" " +sqr[2][1]+" " +sqr[2][2]);
}
else if("info".equals(textvar) && existingsqr)
{
int[] sums_rows = new int[sqrsize];
Arrays.fill(sums_rows, 0);
int[] sums_columns = new int[sqrsize];
Arrays.fill(sums_columns, 0);
int[] sums_diagonals = new int[2];
Arrays.fill(sums_diagonals, 0);
for (int i = 0; i < sqrsize; i++) {
for (int j = 0; j < sqrsize; j ++) {
sums_rows[i] += sqr[i][j];
}
System.out.println("the sum of elements of row " + (i+1) + " :\n" + sums_rows[i]);
}
for (int j = 0; j < sqrsize; j++) {
for (int i = 0; i < sqrsize; i ++) {
sums_columns[j] += sqr[i][j];
}
System.out.println("the sum of elements of column " + (j+1) + " :\n" + sums_columns[j]);
}
for (int i = 0; i < sqrsize; i++) {
sums_diagonals[0] += sqr[i][i];
}
System.out.println("the sum of diagonal 1 " + "\n" + sums_diagonals[0]);
for (int i = 0; i < sqrsize; i++) {
sums_diagonals[1] += sqr[i][(sqrsize-1)-i];
}
System.out.println("the sum of diagonal 2 " + "\n" + sums_diagonals[1]);
boolean isMagicSquare = true;
int comparedSum = sums_rows[0];
for (int i = 1; i < sqrsize; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_rows[i]);
}
for (int i = 0; i < sqrsize; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_columns[i]);
}
for (int i = 0; i < 2; i++) {
isMagicSquare = isMagicSquare && (comparedSum == sums_diagonals[i]);
}
if(isMagicSquare)
System.out.println("All sums are equal, this is a magic square");
else
System.out.println("The sums are not equal, so this isn't a magic square");
System.out.println();
}
else if(!"quit".equals(textvar))
{
//cleans screen by pushing text off screen
for(int clear = 0; clear < 1000; clear++)
{
System.out.println("\b") ;
}
}
}
while (!"quit".equals(textvar));
//loop will repeat until textvar reaches the necessary value
}
}
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