#include <iostream>
#include <fstream>
#include <iomanip>
#include <climits>
#include <limits>
#include <algorithm>
#include <array>
#include <vector>
#include <deque>
#include <queue>
#include <list>
#include <stack>
#include <string>
#include <functional>
#include <numeric>
#include <map>
#include <set>
#include <cstdlib>
#include <bitset>
#include <unordered_map>
#include <random>
#include <cmath>
#include <complex>
// #include "utiltime.hpp"

using namespace std;

typedef long long int ll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef pair<int, int> P;
typedef pair<ll, ll> Pll;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef complex<double> cdouble;

const int INFL = (int)1e9;
const ll INFLL = (ll)1e18;
const double INFD = numeric_limits<double>::infinity();
const double PI = 3.14159265358979323846;
#define Loop(i, n) for(int i = 0; i < (int)n; i++)
#define Loopll(i, n) for(ll i = 0; i < (ll)n; i++)
#define Loop1(i, n) for(int i = 1; i <= (int)n; i++)
#define Loopll1(i, n) for(ll i = 1; i <= (ll)n; i++)
#define Loopr(i, n) for(int i = (int)n - 1; i >= 0; i--)
#define Looprll(i, n) for(ll i = (ll)n - 1; i >= 0; i--)
#define Loopr1(i, n) for(int i = (int)n; i >= 1; i--)
#define Looprll1(i, n) for(ll i = (ll)n; i >= 1; i--)
#define Loopdiag(i, j, h, w, sum) for(int i = ((sum) >= h ? h - 1 : (sum)), j = (sum) - i; i >= 0 && j < w; i--, j++)
#define Loopdiagr(i, j, h, w, sum) for(int j = ((sum) >= w ? w - 1 : (sum)), i = (sum) - j; j >= 0 && i < h; j--, i++)
#define Loopdiagsym(i, j, h, w, gap) for (int i = ((gap) >= 0 ? (gap) : 0), j = i - (gap); i < (h) && j < (w); i++, j++)
#define Loopdiagsymr(i, j, h, w, gap) for (int i = ((gap) > (h) - (w) - 1 ? (h) - 1 : (w) - 1 + (gap)), j = i - (gap); i >= 0 && j >= 0; i--, j--)
#define Loopitr(itr, container) for(auto itr = container.begin(); itr != container.end(); itr++)
#define printv(vector) Loop(extra_i, vector.size()) { cout << vector[extra_i] << " "; } cout << endl;
#define printmx(matrix) Loop(extra_i, matrix.size()) { Loop(extra_j, matrix[extra_i].size()) { cout << matrix[extra_i][extra_j] << " "; } cout << endl; }
#define quickio() ios::sync_with_stdio(false); cin.tie(0);
#define readfile(filename) ifstream in(filename); cin.rdbuf(in.rdbuf());
#define bitmanip(m,val) static_cast<bitset<(int)m>>(val)
bool nearlyeq(double x, double y) { return abs(x - y) < 1e-9; }
bool inrange(int x, int t) { return x >= 0 && x < t; }
ll rndf(double x) { return (ll)(x + (x >= 0 ? 0.5 : -0.5)); }
ll floorsqrt(double x) { ll m = (ll)sqrt(x); return m + (m * m <= (ll)(x) ? 0 : -1); }
ll ceilsqrt(double x) { ll m = (ll)sqrt(x); return m + ((ll)x <= m * m ? 0 : 1); }
ll rnddiv(ll a, ll b) { return (a / b + (a % b * 2 >= b ? 1 : 0)); }
ll ceildiv(ll a, ll b) { return (a / b + (a % b == 0 ? 0 : 1)); }
ll gcd(ll m, ll n) { if (n == 0) return m; else return gcd(n, m % n); }

/*******************************************************/


// bitmask DP

vi decode(int x) {
	vi ret;
	int p = 0;
	while (x > 0) {
		if (x & 1) ret.push_back(p);
		x >>= 1;
		p += 1;
	}
	return ret;
}

int encode(vi a) {
	int ret = 0;
	Loop(i, a.size()) {
		ret += (1 << a[i]);
	}
	return ret;
}

template<typename val_t>
class Partial_Combination {
private:
	int n;
	vector<vector<val_t>> result;
	vvi combs; // iCj
	void core_func(const vector<val_t> &a, int n, int r, int start) {
		if (r == 0) return;
		Loop(i, combs[n - 1][r - 1]) {
			result[start + i].push_back(a[Partial_Combination::n - n]);
		}
		if (n > 1) {
			core_func(a, n - 1, r - 1, start);
			core_func(a, n - 1, r, start + combs[n - 1][r - 1]);
		}
	}
	void make_combs(int n) {
		combs = vvi(n + 1, vi(n + 1));
		Loop(i, n + 1) {
			combs[i][0] = 1;
			Loop1(j, i) {
				combs[i][j] = combs[i - 1][j - 1] + combs[i - 1][j];
			}
		}
	}
public:
	vector<vector<val_t>> get_partial_combination(const vector<val_t> &a, int r) {
		n = int(a.size());
		if (n < r) return {};
		make_combs(n);
		result = vector<vector<val_t>>(combs[n][r]);
		core_func(a, n, r, 0);
		return result;
	}
};

vvll dp;
vvi table;
Partial_Combination<int> pc;

ll solve(int xi, int xj) {
	if (dp[xi][xj] >= 0) return dp[xi][xj];
	else {
		dp[xi][xj] = 0;
		int code = xi ^ (1 << xj);
		vi st = decode(code);
		vvi comb_list = pc.get_partial_combination(st, (st.size() + 1) / 2);
		Loop(i, comb_list.size()) {
			int b_side = encode(comb_list[i]);
			int a_side = xi - b_side;
			Loop(j, comb_list[i].size()) {
				if (table[xj][comb_list[i][j]] == 1) {
					dp[xi][xj] += solve(a_side, xj) * solve(b_side, comb_list[i][j]) * 2;
				}
			}
		}
		return dp[xi][xj];
	}
}


int main() {
	int n = 16;
	table = vvi(n, vi(n));
	Loop(i, n) {
		Loop(j, n) {
			cin >> table[i][j];
		}
	}
	Loop(i, n) {
		Loop(j, i) {
			table[i][j] = -table[j][i];
		}
	}
	int m = 1 << 16;
	dp = vvll(m, vll(n, -1));
	Loop(i, n) {
		dp[encode({ i })][i] = 1;
	}
	vi a(n); Loop(i, n) a[i] = i;
	Loop(i, n) {
		cout << solve((1 << 16) - 1, i) << '\n';
	}
}