#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; const int INF = 0x3f3f3f3f; const ll LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; int main() { int n; cin >> n; vector a(n), b(n); REP(i, n) cin >> a[i]; REP(i, n) cin >> b[i]; vector> graph(n); REP(_, n - 1) { int u, v; cin >> u >> v; --u; --v; graph[u].emplace_back(v); graph[v].emplace_back(u); } function(int, int)> dfs = [&](int par, int ver) { // ox, oo, x ll r = a[ver], sum = 0; vector diff; for (int e : graph[ver]) { if (e == par) continue; auto [pe, qe, re] = dfs(ver, e); r += max(pe, re); sum += re; diff.emplace_back(qe - re); } sort(ALL(diff), greater()); ll p = sum, q = b[ver] + sum; REP(i, diff.size()) { sum += diff[i]; chmax(p, 1LL * b[ver] * (i + 1) + sum); chmax(q, 1LL * b[ver] * (i + 2) + sum); } return make_tuple(p, q, r); }; auto [p, q, r] = dfs(-1, 0); cout << max(p, r) << '\n'; return 0; }