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#include <iostream>
#include <iomanip>
#include <cstdlib>
#include <math.h>
#include <algorithm>
#include <vector>
using namespace std;
void fillSquare(vector<vector<int> > &mat, int nrows, int col);
void printSquare(vector<vector<int> > &mat);
bool isMagic(vector<vector<int> > &mat, int n);
void fillSquare(vector<vector<int> > &mat, int nrows, int col)
{
cout<<"Enter Data in square"<<endl;
for(int i = 0; i < nrows; i++)
{
for(int j = 0; j < col; j++)
{
cout<<"Enter row ["<<i<<"]: ";
cin>>mat[i][j];
}
}
}
bool isMagic(vector<vector<int> > &mat,int n)
{
bool status = true;
int frwdDiagSum = 0;
int bkwrdDiagSum = 0;
int num, num2;
for (int i = 0; i < n; i++)
{
frwdDiagSum += mat[i][i];
bkwrdDiagSum += mat[i][n-1-i];
}
if (frwdDiagSum == bkwrdDiagSum)
{
num = frwdDiagSum;
}
else
status = false;
int rowTotal[4] = {0};
for (int r = 0; r < n; r++)
{
for (int c = 0; c < n; c++)
rowTotal[r] += mat[r][c];
}
int colTotal[4] = {0};
for (int c = 0; c < n; c++)
{
for (int r = 0; r < n; r++)
colTotal[c] += mat[r][c];
}
for (int i = 0; rowTotal[i] && colTotal[i]; ++i)
{
if (rowTotal[i] != colTotal[i])
{
status = false;
}
else if (rowTotal[i] == colTotal[i])
{
num2 = rowTotal[i];
}
}
if (num == num2)
{
status = true;
}
else
status = false;
return status;
}
void printSquare(vector<vector<int> > &mat)
{
for(int i = 0; i < mat.size(); i++)
{
for(int j = 0; j < mat[i].size(); j++)
{
cout << mat[i][j] << " ";
}
cout << endl;
}
}
int main()
{
int nrows, ncol;
bool magic;
cout << "Enter # of rows for the matrix: ";
cin >> nrows;
cout << endl;
cout << "Enter # of columns for the matrix: ";
cin >> ncol;
cout << endl;
vector<vector<int> > mat(nrows, vector<int>(ncol));
const int n = ncol;
fillSquare(mat, nrows, ncol);
printSquare(mat);
cout << "Sum of any row, any column or either diagonal: 15" << endl;
magic = isMagic(mat, n);
if (magic == true)
cout << endl << "Magic" << endl;
else
cout << endl << "Not magic" << endl;
return 0;
}
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