Tuesday, 5 September 2017

C-Program to Check Whether Given Matrix is Magic Square or Not



#include<stdio.h>
#include<stdlib.h>

int main()
{
 int i,j,rows,col,diagonal_1=0,diagonal_2=0,m,n,k=0,sum_rows=0,sum_col=0,flag=0;
 printf("Enter number of rows\n");
 scanf("%d",&rows);
 col=rows;
 int a[rows][col];
 if(rows%2!=0)
 {
  m=0;
  n=rows-1;
   //Taking input for Magic Square
 printf("Enter Magic Square Numbers Horizontally\n");
 //If 8 1 6
 //   3 5 7
 //   4 9 2
 //Then Enter from 8 to 6 and then 3 to 7 and then 4 to 9
  for(i=0;i<rows;i++)
  {
  for(j=0;j<col;j++)
  {
   scanf("%d",&a[i][j]);
  }
  }
  printf("The given Matrix is\n");
  for(i=0;i<rows;i++)
  {
  for(j=0;j<col;j++)
  {
   printf("%d\t",a[i][j]);
  }
  printf("\n");
  }

  //Finding Sum for 2 Diagonals
  for(i=0;i<rows;i++)
  {
   diagonal_1+=a[i][i];
   diagonal_2+=a[m][n];
   m++;
   n--;
  }
  printf("Sum of diagonal 1 is %d\n",diagonal_1);
  printf("Sum of diagonal 2 is %d\n",diagonal_2);
  if(diagonal_2==diagonal_1)
  {
            flag=1;
  }
  else
  {
            flag=0;
            printf("Diagonals Sum are not Equal so Not A MagicSquare\n");
            exit(0);
  }

  //Finding Sum of Rows
   for(i=0;i<rows;i++)
  {
   sum_rows=0;
 
   for(j=0;j<col;j++)
   {
    sum_rows+=a[i][j];  
   }
   printf("Sum of %d Row is %d\n",k,sum_rows);
      k++;
      if(diagonal_1==sum_rows)
      {
            flag=1;
      }
      else
      {
            flag=0;
            printf("Sum of Rows and Diagonals are not Equal,so Not A MagicSquare\n");
            exit(0);
      }
  }
 
  //Finding sum of Columns
  k=0;
   for(i=0;i<col;i++)
   {
     sum_col=0;
    for(j=0;j<rows;j++)
    {
     sum_col+=a[j][i];
     }
       printf("Sum of %d Column is %d\n",k,sum_col);
       k++;
       if(diagonal_1==sum_col)
      {
            flag=1;
      }
      else
      {
            flag=0;
            printf("Even Though Diagonals and Rows Sum are Equal but Sum of Columns are not Equal,so Not A MagicSquare\n");
        exit(0);
      }
   } 
   if(flag==1)
   printf("Given Matrix is Magic Square\n");
}
 else
 {
  printf("Not Possible as rows has to be Odd\n");
 }
 return(0);
}

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