#include //#include 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 template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template 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; } int a[16][16]; vector>v(17); map>mp; vector dp(int bit) { if (mp.count(bit))return mp[bit]; vectorret(16); int pc = popcount(bit); rep(i, v[pc / 2].size()) { int j = v[pc / 2][i]; int k = bit ^ j; if (j != (j & bit))continue; auto x = dp(j); auto y = dp(k); rep(j, 16)rep(k, 16) { if (1 == a[j][k])ret[j] += x[j] * y[k]; else ret[k] += x[j] * y[k]; } } return mp[bit] = ret; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); rep(i, 16)rep(j, 16) cin >> a[i][j]; rep(i, 16)rep2(j, i + 1, 16) a[j][i] -= a[i][j]; rep(i, 17) { vectorvec(16); rep(j, i)vec[j] = 1; sort(all(vec)); do { int bit = 0; rep(j, 16) { bit *= 2; bit += vec[j]; } v[i].push_back(bit); } while (next_permutation(vec.begin(), vec.end())); } rep(i, 16)rep2(j, i + 1, 16) { vectorvec(16); if (1 == a[i][j])vec[i] = 2; else vec[j] = 2; mp[(1 << i) + (1 << j)] = vec; } auto get = dp((1 << 16) - 1); rep(i, 16) { cout << get[i] << endl; } return 0; }