#include #include using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct Dinic{ private: int V; vector level, iter; void bfs(int s, int t){ fill(level.begin(), level.end(), -1); level[s] = 0; queue q; q.push(s); while(!(q.empty())){ int f = q.front(); q.pop(); for(auto &e : G[f]){ if(e.cap > 0 && level[e.to] < 0){ level[e.to] = level[f] + 1; if(e.to == t) return; q.push(e.to); } } } } T dfs(int v, int t, T f){ if(v == t){ return f; } for(int &i = iter[v]; i < (int) G[v].size(); i++){ edge &e = G[v][i]; if(e.cap > 0 && level[v] < level[e.to]){ T d = dfs(e.to, t, min(f, e.cap)); if(d > 0){ e.cap -= d; e.flow += d; G[e.to][e.rev].cap += d; G[e.to][e.rev].flow -= d; return d; } } } return 0; } public: struct edge{ int to, rev; T cap, flow = 0; }; vector> G; Dinic(const int n) : V(n), level(n), iter(n), G(n){} void add_edge(int from, int to, T cap){ G[from].push_back({to, (int) G[to].size(), cap}); G[to].push_back({from, (int) G[from].size() - 1, (T) 0}); } T flow(int s, int t){ T flow = 0; while(true){ bfs(s, t); if(level[t] < 0) return flow; fill(iter.begin(), iter.end(), 0); T f; while((f = dfs(s, t, numeric_limits::max())) > 0){ flow += f; } } } }; ll n, m; vll a, b; vll k; vector c; void input(){ in(n, m); vin(a, n); vin(b, m); k.resize(m); c.resize(m); rep(i, m){ in(k[i]); c[i].resize(k[i]); rep(j, k[i]){ in(c[i][j]); } } } void solve(){ Dinic G(n + m + 2); ll s = n + m; ll t = s + 1; rep(i, n) G.add_edge(s, i, a[i]); rep(i, m) G.add_edge(n + i, t, b[i]); vector bonus(n); rep(i, m){ rep(j, k[i]){ c[i][j]--; bonus[c[i][j]].push_back(i); } } rep(i, n){ for(auto x : bonus[i]){ G.add_edge(i, n + x, INF); } } out(sum(b) - G.flow(s, t)); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }