#include <cstdlib>  
#include <cctype>  
#include <cstring>  
#include <cstdio>  
#include <cmath>  
#include <algorithm>  
#include <vector>  
#include <string>  
#include <iostream>  
#include <sstream>  
#include <map>  
#include <set>  
#include <queue>  
#include <stack>  
#include <fstream>  
#include <numeric>  
#include <iomanip>  
#include <bitset>  
#include <list>  
#include <stdexcept>  
#include <functional>  
#include <utility>  
#include <ctime>
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
#define MAX(a,b) ((a) > (b) ? (a) : (b))
#define MIN(a,b) ((a) < (b) ? (a) : (b))
#define MEM(a,b) memset((a),(b),sizeof(a))
const LL INF = 1000000007;
const int N = 1e3+10;
const double eps = 1e-12;
int a[N][N];
int main()
{
    int n;
    while (scanf("%d", &n) != EOF)
    {
        if (n == 0) break;
        int flag = 1;
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < n; j++)
            {
                scanf("%d", &a[i][j]);
            }
        }
        for (int i = 0; i < n; i++)
        {
            for (int j = i + 1; j < n; j++)
            {
                if (a[i][i] + a[j][j] != a[i][j] + a[j][i])
                {
                    flag = 0;
                    break;
                }
            }
            if (flag == 0) break;
        }
        if (flag) puts("homogeneous");
        else puts("not homogeneous");
    }
    return 0;
}