#include using namespace std; const long long INF = 1000000000000000; template struct dinic{ struct edge{ int to, rev; Cap cap; edge(int to, int rev, Cap cap): to(to), rev(rev), cap(cap){ } }; int N; vector> G; dinic(int N): N(N), G(N){ } void add_edge(int from, int to, Cap cap){ G[from].push_back(edge(to, G[to].size(), cap)); G[to].push_back(edge(from, G[from].size() - 1, 0)); } Cap dfs(vector &d, vector &iter, int v, int t, Cap f){ if (v == t){ return f; } while (iter[v] < G[v].size()){ int w = G[v][iter[v]].to; if (G[v][iter[v]].cap > 0 && d[v] < d[w]){ Cap f2 = dfs(d, iter, w, t, min(f, G[v][iter[v]].cap)); if (f2 > 0){ G[v][iter[v]].cap -= f2; G[w][G[v][iter[v]].rev].cap += f2; return f2; } } iter[v]++; } return 0; } Cap max_flow(int s, int t){ Cap flow = 0; while (true){ vector d(N, -1); d[s] = 0; queue Q; Q.push(s); while (!Q.empty()){ if (d[t] != -1){ break; } int v = Q.front(); Q.pop(); for (auto &e : G[v]){ int w = e.to; if (e.cap > 0 && d[w] == -1){ d[w] = d[v] + 1; Q.push(w); } } } if (d[t] == -1){ break; } vector iter(N, 0); while (true){ Cap f = dfs(d, iter, s, t, INF); if (f == 0){ break; } flow += f; } } return flow; } }; int main(){ int N, M, K, P; cin >> N >> M >> K >> P; long long sum = 0; dinic G(N + M + K + 2); for (int i = 0; i < N; i++){ int E; cin >> E; sum += E; G.add_edge(N + M + K, i, E); } for (int i = 0; i < M; i++){ int F; cin >> F; sum += F; G.add_edge(N + i, N + M + K + 1, F); } for (int i = 0; i < K; i++){ int V; cin >> V; G.add_edge(N + M + i, N + M + K + 1, V); } for (int i = 0; i < N; i++){ int L; cin >> L; for (int j = 0; j < L; j++){ int A; cin >> A; A--; G.add_edge(i, N + M + A, INF); } } for (int i = 0; i < P; i++){ int I, J; cin >> I >> J; I--; J--; G.add_edge(I, N + J, INF); G.add_edge(N + J, I, INF); } long long F = G.max_flow(N + M + K, N + M + K + 1); long long C = sum - F; vector used(N + M + K + 2, false); used[N + M + K] = true; queue Q; Q.push(N + M + K); while (!Q.empty()){ int v = Q.front(); Q.pop(); for (auto e : G.G[v]){ if (e.cap > 0 && !used[e.to]){ used[e.to] = true; Q.push(e.to); } } } assert(!used[N + M + K + 1]); vector ans; for (int i = N + M; i < N + M + K; i++){ if (used[i]){ ans.push_back(i); } } for (int i = N; i < N + M; i++){ if (!used[i]){ ans.push_back(i); } } for (int i = 0; i < N; i++){ if (used[i]){ ans.push_back(i); } } int T = ans.size(); cout << C << endl; cout << T << endl; for (int i = 0; i < T; i++){ if (ans[i] < N){ cout << "Goal " << ans[i] + 1 << endl; } else if (ans[i] < N + M){ cout << "Action " << ans[i] - N + 1 << endl; } else { cout << "Preparation " << ans[i] - N - M + 1 << endl; } } }