#include #include #include using namespace std; template class y_combinator { F f; public: y_combinator(F&& f) : f(std::forward(f)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; using ll = long long; using ld = long double; template > using prique = std::priority_queue, U>; template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T a, T b) { return floor(a + b - 1, b); } template bool chmin(T& x, const T& y) { return (x > y ? x = y, true : false); } template bool chmax(T& x, const T& y) { return (x < y ? x = y, true : false); } #define overload4(a, b, c, d, e, ...) e #define rep1(a) for (long long _i = 0; _i < (a); _i++) #define rep2(i, a) for (long long i = 0; i < (a); i++) #define rep3(i, a, b) for (long long i = (a); i < (b); i++) #define rep4(i, a, b, c) for (long long i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i, a, b, c) for (long long i = (a); i > (b); i += (c)) #define all(x) std::begin(x), std::end(x) #define rall(x) std::rbegin(x), std::rend(x) #define pb push_back void run_case() { int N; cin >> N; vector A(N), B(N), C(N); ll sum = 0; rep(i, N) cin >> A[i], sum += A[i]; rep(i, N) cin >> B[i]; atcoder::scc_graph G(N); atcoder::dsu uf(N); rep(i, N) { cin >> C[i], C[i]--; G.add_edge(C[i], i); uf.merge(C[i], i); } const auto scc = G.scc(); auto check = [&](ll K) -> bool { rep(i, N) { if(!(B[i] <= sum/K)) return false; } vector R(N); auto U = A; for(auto gs: scc) { for(int v: gs) { if(B[v] <= U[v] / K) { ll r = U[v] - B[v] * K; R[uf.leader(v)] += r; U[v] -= r; } else { ll need = B[v] * K - U[v]; ll t = min(R[uf.leader(v)], need); U[v] += t; R[uf.leader(v)] -= t; } } for(int v: gs) { if(B[v] <= U[v] / K) { ll r = max(0LL,U[v] - B[v] * K); R[uf.leader(v)] += r; U[v] -= r; } else { ll need = B[v] * K - U[v]; ll t = min(R[uf.leader(v)], need); U[v] += t; R[uf.leader(v)] -= t; } if(U[v] != B[v] * K) { return false; } } } return true; }; ll ok = 0, ng = 1e15; while(ng - ok > 1) { ll mi = (ok + ng) / 2; (check(mi) ? ok : ng) = mi; } cout << ok << endl; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); std::fixed(std::cout).precision(16); int T = 1; //cin >> T; while(T--) run_case(); return 0; }