#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template void take(vector& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif using EdgeCost = ll; struct E { int fr, to, eid; EdgeCost cost; E(int fr_, int to_, int eid_, EdgeCost cost_) : fr(fr_), to(to_), eid(eid_), cost(cost_) {} friend ostream &operator<<(ostream &os, const E &e) { os << "(" << e.fr << " -> " << e.to << ")"; return os; } }; using V = vector; struct G { int n, e_count; vector adj; vector rev; G(int n_) : n(n_), e_count(0), adj(n), rev(n) {} void add_directed_edge(int fr, int to, EdgeCost cost = (EdgeCost)1) { int eid = e_count; adj[fr].push_back(E(fr, to, eid, cost)); rev[to].push_back(E(fr, to, eid, cost)); e_count++; } void add_undirected_edge(int fr, int to, EdgeCost cost = (EdgeCost)1) { int eid = e_count; adj[fr].push_back(E(fr, to, eid, cost)); rev[to].push_back(E(fr, to, eid, cost)); adj[to].push_back(E(to, fr, eid, cost)); rev[fr].push_back(E(to, fr, eid, cost)); e_count++; } }; namespace solver { template struct In2 { T1 a; T2 b; friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; } }; template struct In3 { T1 a; T2 b; T3 c; friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; } }; int n; vector as, bs; vector> vt; void read() { cin >> n; take(as, n); take(bs, n); take(vt, n - 1); } G g(0); ll dp[100010][2]; void dfs(ll x, ll par) { for (int i : range(2)) { for (auto e : g.adj[x]) if (e.to != par) dfs(e.to, x); ll score = 0; if (i == 0) score += as[x - 1]; for (auto e : g.adj[x]) if (e.to != par) { ll best = -1LL << 60; for (int j : range(2)) { ll gain = dp[e.to][j]; if (i && j) gain += bs[x - 1] + bs[e.to - 1]; best = max(best, gain); } score += best; } dp[x][i] = score; } } using RetType = ll; RetType run() { g = G(n + 1); for (auto p : vt) g.add_undirected_edge(p.a, p.b); dfs(1, -1); return max(dp[1][0], dp[1][1]); } } // namespace template void run(F f) { if constexpr (std::is_same_v) f(); else cout << f() << endl; } int main(int argc, char** argv) { cerr << fixed << setprecision(12); cout << fixed << setprecision(12); int testcase = 1; if (argc > 1) testcase = atoi(argv[1]); while (testcase--) { solver::read(); } run(solver::run); }