#include <bits/stdc++.h>
//#include <atcoder/all>
using namespace std;
//using namespace atcoder;
//using mint = modint1000000007;
//const int mod = 1000000007;
//using mint = modint998244353;
//const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n-1); i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define endl "\n"
#define P pair<int,int>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
int popcount(long long n) {
	n = (n & 0x5555555555555555) + (n >> 1 & 0x5555555555555555);
	n = (n & 0x3333333333333333) + (n >> 2 & 0x3333333333333333);
	n = (n & 0x0f0f0f0f0f0f0f0f) + (n >> 4 & 0x0f0f0f0f0f0f0f0f);
	n = (n & 0x00ff00ff00ff00ff) + (n >> 8 & 0x00ff00ff00ff00ff);
	n = (n & 0x0000ffff0000ffff) + (n >> 16 & 0x0000ffff0000ffff);
	n = (n & 0x00000000ffffffff) + (n >> 32 & 0x00000000ffffffff);
	return n;
}
bool ispow2(int i) { return i && (i & -i) == i; }
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int n; cin >> n;
	vector<vector<int>> a(n, vector<int>(n));
	rep(i, n)rep(j, n)cin >> a[i][j];
	vector<vector<long long>> dp(1 << n, vector<long long>(n));
	rep(i, n)dp[1 << i][i] = 1;
	rep2(i, 1, 1 << n) {
		if (!ispow2(popcount(i)))continue;
		for (int j = (i - 1)&i; j > 0; j = (j - 1)&i) {
			int k = i - j;
			if (popcount(k) != popcount(j))continue;
			rep(l, n)rep(m, n) {
				int w = (a[l][m] ? l : m);
				dp[i][w] += dp[j][l] * dp[k][m];
			}
		}
	}
	rep(i, n)cout << dp[(1 << n) - 1][i] << endl;
	return 0;
}