Lo Shu Magic Square The Lo Shu Magic Square is a grid with 3 rows and 3 columns

Question

Lo Shu Magic Square The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure. Figure The Lo Shu Magic Square has the following properties: bullet The grid contains the numbers 1 through 9 exactly. bullet The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure. Figure In a program you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whether the array is a Lo Shu Magic Square. Test the function in a program.

Explanation / Answer

ANSWER:

public class MagixSquare {

   public static boolean checkMagixSquare(int arr[][]) {
       int count = 0;
       int addRows = 0, addCols = 0, firstAdjecent = 0, secondAdjecent = 0;

       for (int row = 0, skip = 2; row < 3; row++, skip--) {
           addRows = 0;
           addCols = 0;
           firstAdjecent = firstAdjecent + arr[row][row]; // Adding adjacent
                                                           // values
           for (int col = 0; col < 3; col++) {
               addRows = addRows + arr[row][col]; // Adding each row
               addCols = addCols + arr[col][row]; // Adding each column
               int replace = skip;
               if (replace == 0) {
                   secondAdjecent = secondAdjecent + arr[row][col]; // Adding
                                                                       // adjacent
                                                                       // values
               }
               replace--;
           }
           if (addRows == 15 && addCols == 15)
               count++;
       }

       if (count == 3 && firstAdjecent == 15 && secondAdjecent == 15) {
           return true;
       } else {
           return false;
       }
   }

   public static void main(String[] args) {
       // TODO Auto-generated method stub
       int arr[][] = new int[3][3];

       try {
           System.out
                   .println("Run the program using command line arguments: ");
           for (int row = 0, argCount = 0; row < 3; row++) {
               for (int col = 0; col < 3; col++) {
                   int val = Integer.valueOf(args[argCount++]);
                   if (val > 0 && val < 10)
                       arr[row][col] = val;
                   else {
                       System.out.println("Enter values between 0 to 9 only ");
                       break;
                   }
               }
           }

           if (checkMagixSquare(arr)) {
               System.out.println("Magix Square");
           } else {
               System.out.println("Not Magix Square");
           }

       } catch (Exception e) {
           System.err.println("Error Message: " + e.getMessage());
       }
   }
}

INPUT: Run the above program using command line argument and give values as follows:

4 9 2 3 5 7 8 1 6 respectively

OUTPUT:  Magix Square

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