#include <bits/stdc++.h>
using namespace std;

signed main() {
  ios::sync_with_stdio(false);

  vector<vector<int>> A(16, vector<int>(16));
  for (int i = 0; i < 16; ++i)
    for (int j = 0; j < 16; ++j)
      cin >> A[i][j];

  for (int i = 0; i < 16; ++i)
    for (int j = 0; j < i; ++j)
      A[i][j] = -A[j][i];

  vector<vector<int>> bin_set(1 << 16);
  for (int i = 0; i < 1 << 16; ++i)
    for (int j = 0; j < 16; ++j)
      if (i >> j & 1) 
        bin_set[i].push_back(j);

  vector<vector<int64_t>> dp(16, vector<int64_t>(1 << 16));
  for (int i = 0; i < 16; ++i) dp[i][1 << i] = 1;

  for (int s = 1; s < 1 << 16; ++s) {
    int bc_s = __builtin_popcount(s);
    if (bc_s < 2 || __builtin_popcount(bc_s) > 1) continue;
    for (int a = s; a; a = (a - 1) & s) {
      if (__builtin_popcount(a) * 2 != __builtin_popcount(s)) continue;
      int b = s ^ a;
      for (int i : bin_set[a])
        for (int j : bin_set[b])
          dp[A[i][j] > 0 ? i : j][s] += dp[i][a] * dp[j][b];
    }
  }

  vector<int64_t> ans(16);
  transform(dp.begin(), dp.end(), ans.begin(),
            [](const vector<int64_t> &v) { return v.back(); });
  copy(ans.begin(), ans.end(), ostream_iterator<int64_t>(cout, "\n"));

  return 0;
}