#include <bits/stdc++.h>

using namespace std;

#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl

typedef long long ll;
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = 1e18;
const ll MOD = 1000000007;
//const ll MOD = 998244353;
const double pi = 3.14159265358979323846;
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;
int dx[4] = { 1,0, -1,0 }, dy[4] = { 0,1,0,-1 };
int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
//#define mp make_pair

void print_bit(int mask) {
  int i = 1 << 15;
  while (i > 0) {
    cout << (bool)(mask & i);
    i >>= 1;
  }
  cout << endl;
}

int main() {
  int n = 16;
  vector<set<int> > win(n);
  rep (i, n) {
    rep (j, n) {
      int temp;
      cin >> temp;
      if (temp == 1) {
        win[i].insert(j);
      }
      if (temp == -1) {
        win[j].insert(i);
      }
    }
  }

  set<int> two;
  int temp = 1;
  while (temp <= 16) {
    two.insert(temp);
    temp *= 2;
  }
  bitset<1 << 16> is2;
  vi stand(1 << 16);
  rep (i, 1 << 16) {
    int cnt = 0;
    int mask = 1 << 16;
    while (mask > 0) {
      if (i & mask) {
        cnt++;
    
  }
      mask >>= 1;
    }
    is2[i] = two.count(cnt);
    stand[i] = cnt;
  }
  vl power(20);
  power[0] = 1;
  rep (i, 19) {
    power[i + 1] = power[i] * 2;
  }
  int m = 1 << n;
  vl dp(m);
  dp[m - 1] = 1;
  rrep (i, m) {
    //print_bit(i);
    if (dp[i] == 0) continue;
    for (int j = i; j > 0; j = (j - 1)&i) {
      if (j == i) {
        continue;
      }
      if (!is2[j] || stand[i] != stand[j] * 2) continue;
      //print_bit(j);
      vi w, l;
      for (int k = 0; k < n; k++) {
        int mask = 1 << k;
        if ((i & mask) && (j & mask)) {
          w.push_back(k);
        }
        else if ((i & mask) && !(j & mask)) {
          l.push_back(k);
        }
      }
      //assert(w.size() == l.size());
      do {
        bool flag = true;
        rep (k, w.size()) {
          if (!win[w[k]].count(l[k])) {
            flag = false;
            break;
          }
        }
        if (flag) {
          dp[j] += dp[i] * power[w.size()];
        }
      } while (next_permutation(all(l)));
    }
  }
  rep (i, n) {
    cout << dp[1 << i] << endl;
  }
}