#include using namespace std; //* #include using namespace atcoder; using mint = modint998244353; //using mint = modint1000000007; //*/ using ll = long long; using ld = long double; using pll = pair; using tlll = tuple; constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll safemod(ll A, ll M) {return (A % M + M) % M;} ll divfloor(ll A, ll B) {if (B < 0) {return divfloor(-A, -B);} return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) {return divceil(-A, -B);} return divfloor(A + B - 1, B);} ll mypowl(ll A, ll B) {ll res = 1; for (int i = 0; i < B; i++) {res *= A;} return res;} template void unique(vector &V) {V.erase(unique(V.begin(), V.end()), V.end());} template void sortunique(vector &V) {sort(V.begin(), V.end()); V.erase(unique(V.begin(), V.end()), V.end());} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) template void printvec(const vector &V) {int _n = V.size(); for (int i = 0; i < _n; i++) cout << V[i] << (i == _n - 1 ? "" : " ");cout << '\n';} template void printvect(const vector &V) {for (auto v : V) cout << v << '\n';} template void printvec2(const vector> &V) {for (auto &v : V) printvec(v);} ll N; vector> S; ll winner(vector &A) { if (A.size() == 1) return A.front(); vector B; for (ll i = 0; i < A.size(); i += 2) { if (S.at(A.at(i)).at(A.at(i + 1))) B.push_back(A.at(i)); else B.push_back(A.at(i + 1)); } return winner(B); } map, vector> mp; vector solve(vector &A) { ll K = A.size(); if (K == 1) { vector res(N, 0); res.at(A.front()) = 1; return res; } if (mp.find(A) != mp.end()) return mp[A]; vector P(K, 1); for (ll i = 0; i < K / 2; i++) { P.at(i) = 0; } vector res(N, 0); do { vector B, C; for (ll i = 0; i < K; i++) { if (P.at(i) == 0) B.push_back(A.at(i)); else C.push_back(A.at(i)); } vector ans1 = solve(B), ans2 = solve(C); for (ll i = 0; i < N; i++) { for (ll j = 0; j < N; j++) { ll tmp = ans1.at(i) * ans2.at(j); if (S.at(i).at(j)) res.at(i) += tmp; else res.at(j) += tmp; } } } while (next_permutation(P.begin(), P.end())); /* printvec(A); printvec(res); //*/ mp[A] = res; return res; } int main() { cin >> N; S.resize(N); for (ll i = 0; i < N; i++) { S.at(i).resize(N); for (ll j = 0; j < N; j++) { cin >> S.at(i).at(j); } } vector A(N); for (ll i = 0; i < N; i++) { A.at(i) = i; } vector ans = solve(A); printvect(ans); return 0; if (N <= 8) { vector ans(N, 0); vector P(N); for (ll i = 0; i < N; i++) { P.at(i) = i; } do { ll w = winner(P); ans.at(w)++; } while (next_permutation(P.begin(), P.end())); printvect(ans); } else if (N == 16) { vector P(N, 1); for (ll i = 0; i < N / 2; i++) { P.at(i) = 0; } do { vector A, B; for (ll i = 0; i < N; i++) { if (P.at(i) == 0) A.push_back(i); else B.push_back(i); } } while (next_permutation(P.begin(), P.end())); } }