#define MOD_TYPE 2 #include using namespace std; #include // #include // #include // #include using namespace atcoder; #if 0 #include #include using Int = boost::multiprecision::cpp_int; using lld = boost::multiprecision::cpp_dec_float_100; #endif #if 0 #include #include #include #include using namespace __gnu_pbds; using namespace __gnu_cxx; template using extset = tree, rb_tree_tag, tree_order_statistics_node_update>; #endif #if 1 #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif #pragma region Macros using ll = long long int; using ld = long double; using pii = pair; using pll = pair; using pld = pair; template using smaller_queue = priority_queue, greater>; #if MOD_TYPE == 1 constexpr ll MOD = ll(1e9 + 7); #else #if MOD_TYPE == 2 constexpr ll MOD = 998244353; #else constexpr ll MOD = 1000003; #endif #endif using mint = static_modint; constexpr int INF = (int)1e9 + 10; constexpr ll LINF = (ll)4e18; const double PI = acos(-1.0); constexpr ld EPS = 1e-10; constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0}; constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0}; #define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i) #define rep(i, n) REP(i, 0, n) #define REPI(i, m, n) for (int i = m; i < (int)(n); ++i) #define repi(i, n) REPI(i, 0, n) #define RREP(i, m, n) for (ll i = n - 1; i >= m; i--) #define rrep(i, n) RREP(i, 0, n) #define YES(n) cout << ((n) ? "YES" : "NO") << "\n" #define Yes(n) cout << ((n) ? "Yes" : "No") << "\n" #define all(v) v.begin(), v.end() #define NP(v) next_permutation(all(v)) #define dbg(x) cerr << #x << ":" << x << "\n"; #define UNIQUE(v) v.erase(unique(all(v)), v.end()) struct io_init { io_init() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << setprecision(20) << setiosflags(ios::fixed); }; } io_init; template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } inline ll floor(ll a, ll b) { if (b < 0) a *= -1, b *= -1; if (a >= 0) return a / b; return -((-a + b - 1) / b); } inline ll ceil(ll a, ll b) { return floor(a + b - 1, b); } template inline void Fill(A (&array)[N], const T &val) { fill((T *)array, (T *)(array + N), val); } template vector compress(vector &v) { vector val = v; sort(all(val)), val.erase(unique(all(val)), val.end()); for (auto &&vi : v) vi = lower_bound(all(val), vi) - val.begin(); return val; } template constexpr istream &operator>>(istream &is, pair &p) noexcept { is >> p.first >> p.second; return is; } template constexpr ostream &operator<<(ostream &os, pair p) noexcept { os << p.first << " " << p.second; return os; } ostream &operator<<(ostream &os, mint m) { os << m.val(); return os; } ostream &operator<<(ostream &os, modint m) { os << m.val(); return os; } template constexpr istream &operator>>(istream &is, vector &v) noexcept { for (int i = 0; i < v.size(); i++) is >> v[i]; return is; } template constexpr ostream &operator<<(ostream &os, vector &v) noexcept { for (int i = 0; i < v.size(); i++) os << v[i] << (i + 1 == v.size() ? "" : " "); return os; } template constexpr void operator--(vector &v, int) noexcept { for (int i = 0; i < v.size(); i++) v[i]--; } random_device seed_gen; mt19937_64 engine(seed_gen()); inline ll randInt(ll l, ll r) { return engine() % (r - l + 1) + l; } struct BiCoef { vector fact_, inv_, finv_; BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; inv_[i] = -inv_[MOD % i] * (MOD / i); finv_[i] = finv_[i - 1] * inv_[i]; } } mint C(ll n, ll k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; } mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); } mint Ch1(ll n, ll k) const noexcept { if (n < 0 || k < 0) return 0; mint res = 0; for (int i = 0; i < n; i++) res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1); return res; } mint fact(ll n) const noexcept { if (n < 0) return 0; return fact_[n]; } mint inv(ll n) const noexcept { if (n < 0) return 0; return inv_[n]; } mint finv(ll n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; BiCoef bc(500010); #pragma endregion // ------------------------------- int n; vector a, b; vector c; vector par; vector> ch; vector roots; void precalc() { // ループを一つに圧縮する // 葉から順に削る vector> G(n); vector rev(n); vector d(n); rep(i, n) { G[c[i]].push_back(i); rev[i] = c[i]; d[c[i]]++; } queue que; rep(i, n) { if (G[i].empty()) que.push(i); } vector used(n); while (not que.empty()) { int v = que.front(); que.pop(); used[v] = 1; d[rev[v]]--; if (d[rev[v]] == 0) { que.push(rev[v]); } } vector root_num(n, -1); rep(si, n) { if (used[si]) continue; int v = si; // si にマージ while (not used[v]) { used[v] = 1; root_num[v] = si; v = rev[v]; } } par.assign(n, -1); ch.resize(n); rep(i, n) { for (auto t : G[i]) { int from = (root_num[i] == -1 ? i : root_num[i]); int to = (root_num[t] == -1 ? t : root_num[t]); if (from == to) continue; ch[from].push_back(to); par[to] = from; } if (root_num[i] != -1 and root_num[i] != i) { a[root_num[i]] += a[i]; b[root_num[i]] += b[i]; a[i] = 0; b[i] = 0; } } rep(i, n) { if (root_num[i] == i) roots.push_back(i); } } __int128 dp(int v, __int128 x) { __int128 require = 0; for (auto c : ch[v]) { require += dp(c, x); } require += x * b[v] - a[v]; chmax(require, __int128(0)); return require; } bool f(ll x) { for (auto r : roots) { if (dp(r, x) != 0) return false; } return true; } void solve() { cin >> n; a.resize(n); b.resize(n); c.resize(n); cin >> a >> b >> c; c--; precalc(); auto binary_search = [&]() { ll lo = -1, hi = 1e15; while (hi - lo > 1) { ll mi = (lo + hi) / 2; if (f(mi)) lo = mi; else hi = mi; } return lo; }; cout << binary_search() << "\n"; } int main() { solve(); }