/*
 * To input a 3 X 3 matrix and check if it is a magic square
 * @author-Karan Narain(karan@iitk.ac.in)
 *
*/

#include <stdio.h>
int main()
{
	int A[3][3],i,j,rowsum[3],colsum[3],diagsum[2],flag=0;
	//Flag is used to check if input is in the range 1 to 9
	printf("Enter the elements of the 3 x 3 matrix(in the range 1 to 9)\n");
	for(i=0;i<3;i++)
	{
	  for(j=0;j<3;j++)
	  {
	    scanf("%d",&A[i][j]);
	    if((A[i][j]<1)|| (A[i][j]>9))
	    flag=1;
	  }
	}
	if(flag==1)
	{
	  printf("\nThe input elements should be in the range 1 to 9.\n");
	  return 0;
	}
	//Initialize the sum arrays
	diagsum[0]=0;
	diagsum[1]=0;
	printf("The matrix you entered is \n");
	for(i=0;i<3;i++)
	{
	  for(j=0;j<3;j++)
	  {
	    printf("%d     ",A[i][j]);
	  }
	  printf("\n");
	  rowsum[i]=0;
	  colsum[i]=0;
	}
	//The sums are calculated in separate loops for the sake of clarity
	//Calculate rowsums
	for(i=0;i<3;i++)
	{
	  for(j=0;j<3;j++)
	  {
	  	rowsum[i]=rowsum[i]+A[i][j];
	  }
	  printf("\nThe sum of row %d is %d",i+1,rowsum[i]);
	}
	//Calculate colsums
	for(j=0;j<3;j++)
	{
	  for(i=0;i<3;i++)
	  {
	  	colsum[j]=colsum[j]+A[i][j];
	  }
	  printf("\nThe sum of column %d is %d",j+1,colsum[i]);
	}

	//Calculate diagonal sums
	for(i=0;i<3;i++)
	{
	  for(j=0;j<3;j++)
	  {
	  	if(i==j)
		diagsum[0]=diagsum[0]+A[i][j];
		if((i+j)==2)
		diagsum[1]=diagsum[1]+A[i][j];
	  }
	}
        printf("\nThe sum of main diagonal is %d",diagsum[0]);
	printf("\nThe sum of cross-diagonal is %d\n",diagsum[1]);
	printf("For a magic square of dimension 3,the sum should be 15\n");
	//Check for equality of the sums
	for(i=0;i<2;i++)
	{
		for(j=0;j<2;j++)
		{
			if((rowsum[i]==rowsum[i+1]) && (rowsum[i]==colsum[i]) && (colsum[i]==colsum[i+1]))
			continue;
			else
			{
				printf("The given matrix is not a magic square\n");
				return 0;
			}
		}
	}
	//Check with the diagonal sums as well
	if((rowsum[0]==diagsum[0]) && (diagsum[0]==diagsum[1]))
	printf("The given matrix is a magic square\n");
	return 0;
}