MagicSquare1.java SOLUTION

//(c) A+ Computer Science
//www.apluscompsci.com
//Name -

import java.util.Scanner;
import static java.lang.System.*;

public class MagicSquare1
{
   private int[][] mat;

    //size the matrix and load in the numbers into the matrix
    //write all nested loop code here in the constructor
   public MagicSquare1(int size, int[] numbers)
   {
      mat = new int[size][size];

      int k = 0;
      for( int i = 0; i < size; i++)
      {
         for( int j = 0; j < size; j++)
         {
            mat[i][j] = numbers[k];
            k++;
         }
      }
   }

   public boolean isMagicSquare()
   {
      int x = sumRow(0);
      for(int i = 1; i < mat.length; i++)
      {
         if(sumRow(i)!=x)
            return false;
      }
      for(int i = 1; i < mat[0].length; i++)
      {
         if(sumCol(i)!=x)
            return false;
      }
      if(sumDownDiag()!=x)
         return false;
      if(sumUpDiag()!=x)
         return false;
      return true;
   }

   public int sumRow( int r )
   {
      int sum = 0;
      for( int v : mat[r] )
      {
         sum+= v;
      }
      return sum;
   }

   public int sumCol( int c )
   {
      int sum = 0;
      for( int i = 0; i < mat.length; i++ )
      {
         sum+= mat[i][c];
      }
      return sum;
   }

   public int sumDownDiag()
   {
      int sum = 0;
      for( int i = 0; i < mat.length; i++ )
      {
         sum+= mat[i][i];
      }
      return sum;
   }

   public int sumUpDiag()
   {
      int sum = 0;
      for( int i = 0; i < mat.length; i++ )
      {
         sum+= mat[mat.length-i-1][i];
      }
      return sum;
   }

   public String toString()
   {
      String output="";
      for( int[] row : mat )
      {
         for( int val : row)
         {
            output += val + " ";
         }
         output += "\n";
      }
      return output.trim();
   }

   public String magicOrNot()
   {
      if( isMagicSquare() )
         return "MAGIC SQUARE";
      else
         return "NOT A MAGIC SQUARE";
   }

   public static void main(String[] args){
      MagicSquare1 square = new MagicSquare1(3, new int[]{8, 1, 6, 3, 5, 7, 4, 9, 2});
      System.out.println( square + "\n" + square.magicOrNot() );

      square = new MagicSquare1(3, new int[]{6, 1, 8, 7, 5, 3, 2, 9, 4});
      System.out.println( square + "\n" + square.magicOrNot() );

      square = new MagicSquare1(3, new int[]{8, 3, 1, 3, 5, 7, 9, 4, 2});
      System.out.println( square + "\n" + square.magicOrNot() );

      square = new MagicSquare1(4, new int[]{7, 12, 1, 14, 2, 13, 8, 11, 16, 3, 10, 5, 9, 6, 15, 4});
      System.out.println( square + "\n" + square.magicOrNot() );

      square = new MagicSquare1(5, new int[]{17, 24, 1, 8, 15, 23, 5, 7, 14, 16, 4, 6, 13, 20, 22, 10, 12, 19, 21, 3, 11, 18, 25, 2, 9});
      System.out.println( square + "\n" + square.magicOrNot() );

      square = new MagicSquare1(5, new int[]{17, 24, 1, 8, 5, 23, 5, 7, 14, 6, 4, 6, 13, 20, 2, 10, 12, 19, 21, 3, 11, 18, 25, 2, 9});
      System.out.println( square + "\n" + square.magicOrNot() );
   }
}