#include #include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; // NOLINT using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } struct Inf { template constexpr operator T() { return numeric_limits::max() / 2; } }; // clang-format on int popcount(ll bits) { bits = (bits & 0x5555555555555555LL) + (bits >> 1 & 0x5555555555555555LL); bits = (bits & 0x3333333333333333LL) + (bits >> 2 & 0x3333333333333333LL); bits = (bits & 0x0f0f0f0f0f0f0f0fLL) + (bits >> 4 & 0x0f0f0f0f0f0f0f0fLL); bits = (bits & 0x00ff00ff00ff00ffLL) + (bits >> 8 & 0x00ff00ff00ff00ffLL); bits = (bits & 0x0000ffff0000ffffLL) + (bits >> 16 & 0x0000ffff0000ffffLL); return (bits & 0x00000000ffffffffLL) + (bits >> 32 & 0x00000000ffffffffLL); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin, n; auto s = make_v(n, n, 0); rep(i, 0, n) { rep(j, 0, n) { cin, s[i][j]; } } const int bits = 1 << n; auto dp = make_v(bits, n, 0LL); rep(i, 0, n) { dp[1 << i][i] = 1; } int count = 0; rep(bit, 0, bits) { int z = popcount(bit); if (z == 1 || z & (z - 1)) continue; for (int bit_a = bit; bit_a; bit_a = (bit_a - 1) & bit) { count++; int y = popcount(bit_a); if (2 * y != z) continue; int bit_b = bit ^ bit_a; rep(i, 0, n) { rep(j, i + 1, n) { if (i == j) continue; int w = s[i][j] ? i : j; dp[bit][w] += dp[bit_a][i] * dp[bit_b][j] * 2; } } } } rep(i, 0, n) { print(dp[bits - 1][i]); } dump(count); return 0; }