#include using namespace std; using Int = long long; const char newl = '\n'; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a void drop(const T &x){cout< vector read(size_t n){ vector ts(n); for(size_t i=0;i>ts[i]; return ts; } template struct FixPoint : F{ 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)}; } //INSERT ABOVE HERE signed main(){ cin.tie(0); ios::sync_with_stdio(0); Int n; cin>>n; auto as=read(n); auto bs=read(n); vector> G(n); for(Int i=1;i>u>>v; u--;v--; G[u].emplace_back(v); G[v].emplace_back(u); } const Int INF = 1e18; vector dp0(n,-INF),dp1(n,-INF); MFP([&](auto dfs,Int v,Int p)->void{ dp0[v]=as[v]; Int sum=0; vector vs; for(Int u:G[v]){ if(u==p) continue; dfs(u,v); dp0[v]+=max(dp0[u],dp1[u]); sum+=dp0[u]; vs.emplace_back((dp1[u]+bs[u])-dp0[u]); } sort(vs.rbegin(),vs.rend()); chmax(dp1[v],sum); for(Int i=0;i<(Int)vs.size();i++){ sum+=vs[i]; chmax(dp1[v],sum+(i+1)*bs[v]); } })(0,-1); cout<