#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; // const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } const int MAX_ROW = 10001; // to be set appropriately const int MAX_COL = 51; // to be set appropriately struct BitMatrix { int H, W; bitset< MAX_COL > val[MAX_ROW]; BitMatrix(int m = 1, int n = 1) : H(m), W(n) {} inline bitset< MAX_COL > &operator[](int i) { return val[i]; } }; int GaussJordan(BitMatrix &A, bool is_extended = false) { int rank = 0; for(int col = 0; col < A.W; ++col) { if(is_extended && col == A.W - 1) break; int pivot = -1; for(int row = rank; row < A.H; ++row) { if(A[row][col]) { pivot = row; break; } } if(pivot == -1) continue; swap(A[pivot], A[rank]); for(int row = 0; row < A.H; ++row) { if(row != rank && A[row][col]) A[row] ^= A[rank]; } ++rank; } return rank; } int linear_equation(BitMatrix A, vector< int > b, vector< int > &res) { int m = A.H, n = A.W; BitMatrix M(m, n + 1); for(int i = 0; i < m; ++i) { for(int j = 0; j < n; ++j) M[i][j] = A[i][j]; M[i][n] = b[i]; } int rank = GaussJordan(M, true); // check if it has no solution for(int row = rank; row < m; ++row) if(M[row][n]) return -1; // answer res.assign(n, 0); for(int i = 0; i < rank; ++i) res[i] = M[i][n]; return rank; } int main() { int N, M; cin >> N >> M; BitMatrix a(M, N); vector< int > b(M); for(int i = 0; i < M; i++) { int sz, y; cin >> sz; for(int j = 0; j < sz; j++) { int x; cin >> x; --x; a[i][x] = 1; } cin >> y; b[i] = y; } vector< int > ret(N); for(int i = 29; i >= 0; i--) { vector< int > c(M); for(int j = 0; j < M; j++) { c[j] = (b[j] >> i) & 1; } vector< int > res(N); if(linear_equation(a, c, res) == -1) { cout << -1 << "\n"; return 0; } for(int j = 0; j < N; j++) { ret[j] |= res[j] << i; } } for(int i = 0; i < N; i++) { cout << ret[i] << "\n"; } }