#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 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]; } } vector idx(n); iota(idx.begin(), idx.end(), 0); int p = 1; rep(i, 0, n / 2) { p *= 2; } vector ans(n, 0); vector lst; vector used(n, false); auto dfs = [&](auto &f) -> void { if (2 * lst.size() >= n) { vector win = lst; while (win.size() > 1) { vector nxt; for (int i = 0; i < win.size(); i += 2) { int i1 = win[i], i2 = win[i + 1]; nxt.push_back(s[i1][i2] ? i1 : i2); } win = move(nxt); } ans[win.front()] += p; return; } rep(i, 0, n) { if (used[i]) continue; used[i] = true; rep(j, i + 1, n) { if (used[j]) continue; used[j] = true; lst.push_back(s[i][j] ? i : j); f(f); lst.pop_back(); used[j] = false; } used[i] = false; } }; dfs(dfs); rep(i, 0, n) { print(ans[i]); } return 0; }