#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;}
