#include #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)}; } template< typename flow_t > struct Dinic { const flow_t INF; struct edge { int to; flow_t cap; int rev; bool isrev; }; vector< vector< edge > > graph; vector< int > min_cost, iter; Dinic(int V) : INF(numeric_limits< flow_t >::max()), graph(V) {} void add_edge(int from, int to, flow_t cap) { graph[from].emplace_back((edge) {to, cap, (int) graph[to].size(), false}); graph[to].emplace_back((edge) {from, 0, (int) graph[from].size() - 1, true}); } bool bfs(int s, int t) { min_cost.assign(graph.size(), -1); queue< int > que; min_cost[s] = 0; que.push(s); while(!que.empty() && min_cost[t] == -1) { int p = que.front(); que.pop(); for(auto &e: graph[p]) { if(e.cap > 0 && min_cost[e.to] == -1) { min_cost[e.to] = min_cost[p] + 1; que.push(e.to); } } } return min_cost[t] != -1; } flow_t dfs(int idx, const int t, flow_t flow) { if(idx == t) return flow; for(int &i = iter[idx]; i < graph[idx].size(); i++) { edge &e = graph[idx][i]; if(e.cap > 0 && min_cost[idx] < min_cost[e.to]) { flow_t d = dfs(e.to, t, min(flow, e.cap)); if(d > 0) { e.cap -= d; graph[e.to][e.rev].cap += d; return d; } } } return 0; } flow_t max_flow(int s, int t) { flow_t flow = 0; while(bfs(s, t)) { iter.assign(graph.size(), 0); flow_t f = 0; while((f = dfs(s, t, INF)) > 0) flow += f; } return flow; } void output() { for(int i = 0; i < graph.size(); i++) { for(auto &e: graph[i]) { if(e.isrev) continue; auto &rev_e = graph[e.to][e.rev]; cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << e.cap + rev_e.cap << ")" << endl; } } } }; int main() { int N, M, K, P; cin >> N >> M >> K >> P; vector< int > E(N), F(M), V(K); cin >> E >> F >> V; Dinic< int64 > flow(N + M + K + 2); int S = N + M + K; int T = S + 1; int64 ret = 0; for(int i = 0; i < N; i++) { int L; cin >> L; vector< int > A(L); cin >> A; flow.add_edge(i, T, E[i]); ret += E[i]; for(auto &p: A) { --p; flow.add_edge(N + M + p, i, flow.INF); } } for(int i = 0; i < K; i++) { flow.add_edge(S, N + M + i, V[i]); } for(int i = 0; i < M; i++) { ret += F[i]; flow.add_edge(S, N + i, F[i]); } for(int i = 0; i < P; i++) { int x, y; cin >> x >> y; --x, --y; flow.add_edge(N + y, x, flow.INF); } cout << ret - flow.max_flow(S, T) << "\n"; queue< int > que; que.emplace(S); vector< int > used(N + M + K + 2); used[S] = 1; while(!que.empty()) { auto p = que.front(); que.pop(); for(auto &e: flow.graph[p]) { if(e.cap > 0 and not used[e.to]) { used[e.to] = 1; que.emplace(e.to); } } } vector< pair< string, int > > ans; for(int i = 0; i < K; i++) { if(!used[N + M + i]) { ans.emplace_back("Preparation", i + 1); } } for(int i = 0; i < N; i++) { if(!used[i]) { ans.emplace_back("Goal", i + 1); } } for(int i = 0; i < M; i++) { if(used[i + N]) { ans.emplace_back("Action", i + 1); } } cout << ans.size() << "\n"; for(auto &p: ans) cout << p << "\n"; }