#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using Int = long long; template ostream &operator<<(ostream &os, const pair &a) { return os << "(" << a.first << ", " << a.second << ")"; }; template ostream &operator<<(ostream &os, const vector &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; } template void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; } template bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; } template bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; } #define COLOR(s) ("\x1b[" s "m") struct Functional { int n; vector par; int cyclesLen; vector> cycles; // cycle id or -1 vector on; // tree vector> graph; // root vector rs; Functional() {} Functional(const vector &par_) : par(par_) { n = par.size(); cycles.clear(); vector vis(n, -1); for (int s = 0; s < n; ++s) { int u = s; for (; !~vis[u]; u = par[u]) { vis[u] = s; } if (vis[u] == s) { vector cycle; for (int v = u; ; ) { cycle.push_back(v); if ((v = par[v]) == u) break; } cycles.push_back(cycle); } } cyclesLen = cycles.size(); on.assign(n, -1); for (int k = 0; k < cyclesLen; ++k) { for (const int u : cycles[k]) { on[u] = k; } } graph.assign(n, {}); for (int u = 0; u < n; ++u) if (!~on[u]) { graph[par[u]].push_back(u); } rs.assign(n, -1); for (int u = 0; u < n; ++u) if (~on[u]) { dfs(u, u); } } void dfs(int u, int r) { rs[u] = r; for (const int v : graph[u]) { dfs(v, r); } } }; int N; vector A, B; vector C; Functional F; Int dfs(int u, Int want) { Int have = A[u]; Int need = B[u] * want; for (const int v : F.graph[u]) { need += dfs(v, want); } return max(need - have, 0LL); } bool check(Int want) { for (int k = 0; k < F.cyclesLen; ++k) { Int have = 0, need = 0; for (const int u : F.cycles[k]) { have += A[u]; need += B[u] * want; for (const int v : F.graph[u]) { need += dfs(v, want); } } if (have < need) { return false; } } return true; } int main() { for (; ~scanf("%d", &N); ) { A.resize(N); for (int u = 0; u < N; ++u) scanf("%lld", &A[u]); B.resize(N); for (int u = 0; u < N; ++u) scanf("%lld", &B[u]); C.resize(N); for (int u = 0; u < N; ++u) { scanf("%d", &C[u]); --C[u]; } F = Functional(C); Int sumA = 0, sumB = 0; for (int u = 0; u < N; ++u) sumA += A[u]; for (int u = 0; u < N; ++u) sumB += B[u]; Int lo = 0, hi = sumA / sumB + 1; for (; lo + 1 < hi; ) { const Int mid = (lo + hi) / 2; (check(mid) ? lo : hi) = mid; } printf("%lld\n", lo); } return 0; }