//#define _GLIBCXX_DEBUG #include using namespace std; #define endl '\n' #define lfs cout<= (ll)(n); i--) using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 1e18; using P = pair; template using PQ = priority_queue; template using QP = priority_queue,greater>; templatebool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} templatebool chmax(T1 &a,T2 b){if(avoid ans(bool x,T1 y,T2 z){if(x)cout<void debug(T &v,ll h,ll w,string sv=" "){for(ll i=0;ivoid debug(T &v,ll n,string sv=" "){if(n!=0)cout<vector>vec(ll x, ll y, T w){vector>v(x,vector(y,w));return v;} ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;} vectordx={1,-1,0,0,1,1,-1,-1};vectordy={0,0,1,-1,1,-1,1,-1}; templatevector make_v(size_t a,T b){return vector(a,b);} templateauto make_v(size_t a,Ts... ts){return vector(a,make_v(ts...));} templateostream &operator<<(ostream &os, const pair&p){return os << p.first << " " << p.second;} templateostream &operator<<(ostream &os, const vector &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;} templatevoid rearrange(vector&ord, vector&v){ auto tmp = v; for(int i=0;ivoid rearrange(vector&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template vector ascend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return v[i] vector descend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];}); return ord; } ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;} //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; templateT poll(queue &q){auto ret=q.front();q.pop();return ret;}; templateT poll(priority_queue &q){auto ret=q.top();q.pop();return ret;}; templateT poll(QP &q){auto ret=q.top();q.pop();return ret;}; templateT poll(stack &s){auto ret=s.top();s.pop();return ret;}; template< typename T = int > struct edge { int to; T cost; int id; edge() = default; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template using Graph = vector>>; template Graph readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph ret(n); for(int es = 0; es < m; es++){ int u,v,w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template Graph readParent(int n,int indexed=1,bool directed=true){ Graphret(n); for(int i=1;i>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } const ll MAX_W=52; struct BitMatrix { ll h,w; vector>A; BitMatrix() {}; BitMatrix(ll n, ll m) :h(n),w(m){ A.assign(h,bitset(0)); }; BitMatrix(vector>v):h(v.size()),w(v[0].size()){ A.assign(h,bitset(0)); for(ll i=0;i &operator[](ll k) { return A[k]; } inline bitset operator[](ll k) const{ return A[k]; } friend ostream &operator<<(ostream &os, BitMatrix &p) { ll n = p.height(), m = p.width(); for(ll i = 0; i < n; i++) { os << "["; for(ll j = 0; j < m; j++) { os << p[i][j] << (j + 1 == m ? "]\n" : ","); } } return (os); } BitMatrix &operator*=(const BitMatrix &B){ BitMatrix C(h,B.w); for(int i = 0; i < h; i++){ for(int j = 0; j < w; j++){ if(this->A[i][j])C[i] |= B[j]; } } A.swap(C.A); return (*this); } BitMatrix operator*(BitMatrix &B) const { return (BitMatrix(*this) *= B); } BitMatrix &operator^=(long long k) { BitMatrix B = BitMatrix::I(height()); while(k > 0) { if(k & 1) B *= *this; *this *= *this; k >>= 1LL; } A.swap(B.A); return (*this); } BitMatrix operator^(const long long k) const { return (BitMatrix(*this) ^= k); } }; ll sweep(BitMatrix &a, bool is_extended){ ll h = a.height(), w = a.width(); ll rank = 0; ll limit = w - is_extended; for(ll col=0;collinear_equation(BitMatrix a){ ll h=a.height(),w=a.width(); ll rank = sweep(a,true); vectorret; for(ll row=rank;row>kernel(BitMatrix a){ ll h=a.height(),w=a.width(); ll rank = sweep(a,true); vectorcols(w-1,0),piv; for(ll i=0;i>ret; for(ll i=0;iv(w-1); v[i]=true; for(ll j=0;j>n>>m; vectory(m); vector>b(m); rep(i,0,m){ ll a;cin>>a; while(a--){ ll bx;cin>>bx;bx--; b[i].PB(bx); } cin>>y[i]; } vectorret(n); rep(i,0,30){ BitMatrix mat(m,n+1); rep(j,0,m){ for(auto z:b[j])mat[j][z]=1; mat[j][n]=y[j]>>i&1; } auto tmp=linear_equation(mat); if(tmp.empty())judge=false; else rep(j,0,m)if(tmp[j])ret[j]^=1<