#include #include using namespace std; using int64 = long long; constexpr int mod = 998244353; constexpr int64 infll = (1LL << 62) - 1; constexpr 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 ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { for (int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template istream &operator>>(istream &is, vector &v) { for (T &in : v) is >> in; return is; } template inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template typename enable_if::value == 0>::type fill_v(T &t, const V &v) { t = v; } template typename enable_if::value != 0>::type fill_v(T &t, const V &v) { for (auto &e : t) fill_v(e, v); } template struct FixPoint : F { explicit FixPoint(F &&f) : F(forward(f)) {} template decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward(args)...); } }; template inline decltype(auto) MFP(F &&f) { return FixPoint{forward(f)}; } int main() { int N; cin >> N; vector< int > A(N), B(N), C(N); cin >> A >> B >> C; for(auto& c : C) --c; int64 ok = 0, ng = infll; atcoder::dsu uf(N); vector< int > deg(N); for(int i = 0; i < N; i++) { deg[C[i]]++; uf.merge(i, C[i]); } queue< int > que; for(int i = 0; i < N; i++) { if(deg[i] == 0) { que.emplace(i); } } vector< vector< int > > g(N); while(not que.empty()) { auto i = que.front(); que.pop(); --deg[C[i]]; g[C[i]].emplace_back(i); if(deg[C[i]] == 0) { que.emplace(C[i]); } } vector< vector< int > > group(N); vector< int64 > need(N), sum(N); for(int i = 0; i < N; i++) { if(deg[i] > 0) { int now = i; do { deg[now] = 0; group[uf.leader(i)].emplace_back(now); sum[uf.leader(i)] += A[now]; need[uf.leader(i)] += B[now]; } while (now != i); } } auto check = [&](int64 x) { for(int i = 0; i < N; i++) { if(group[i].empty()) { continue; } if((__int128_t)need[i] * x > infll) { return false; } __int128_t rest = sum[i] - need[i] * x; if(rest < 0) { return false; } for(auto& p : group[i]) { bool f = true; auto dfs = MFP([&](auto dfs, int idx) -> pair< int64, int64 > { int64 need = 0; if(p != idx) { need -= A[idx]; need += (__int128_t) B[idx] * x; if(need > infll) { f = false; return {0, 0}; } } int64 tap = 0; for(auto& to : g[idx]) { auto res = dfs(to); need += res.first; chmax(tap, res.second); } chmax(tap, need); return {need, tap}; }); rest -= dfs(p).second; if(rest < 0 or not f) { return false; } } } return true; }; while(ng - ok > 1) { auto mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } cout << ok << endl; }