#include <bits/stdc++.h>

using namespace std;

using int64 = long long;

int S[16][16];
int pop[1 << 16];
int64 dp[1 << 16][16];

int64 rec(int win, int bit) {
  if(~dp[bit][win]) return dp[bit][win];
  int64 ret = 0, dep = pop[bit] >> 1;
  if(dep == 0) return 1;
  for(int i = bit; i > 0; i = (i - 1) & bit) {
    int other = i ^bit;
    if((i >> win) & 1) {
      if(pop[i] == dep && pop[other] == dep) {
        for(int j = 0; j < 16; j++) {
          if((other >> j) & 1) {
            if(S[win][j] == 1) {
              ret += rec(win, i) * rec(j, other) * 2;
            }
          }
        }
      }
    }
  }
  return dp[bit][win] = ret;
}

int main() {
  for(int i = 0; i < 16; i++) {
    for(int j = 0; j < 16; j++) {
      cin >> S[i][j];
    }
  }
  for(int i = 0; i < 16; i++) {
    for(int j = 0; j < 16; j++) {
      if(S[i][j] == 0) {
        S[i][j] = -S[j][i];
      }
    }
  }
  for(int i = 0; i < 1 << 16; i++) {
    pop[i] = __builtin_popcount(i);
  }
  memset(dp, -1, sizeof(dp));
  for(int i = 0; i < 16; i++) {
    cout << rec(i, (1 << 16) - 1) << endl;
  }
}