This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
vector<int> cost, mic;int N;
struct node {
vector<long long> dp;
long long lock=-1,free = -1;
vector<node*> l;
int a;
};
// void dfs(node* n, node* p){
// for(node* c : n->l) if(c!=p) dfs(c,n);
// n->dp.resize(N+1);
// n->free = LONG_LONG_MAX;
// for(int k = n->a+1;k <= N;k++){
// n->dp[k] = cost[k];
// for(node* c : n->l){
// if(c==p) continue;
// if(!c->a){
// if(k == n->a+1) n->dp[k] += min(c->dp[k]-cost[k], c->free);
// else n->dp[k] += c->free;
// } else if(c->a == n->a+1){
// if(k>c->a) n->dp[k] += min(c->dp[k]-cost[k], c->free);
// else n->dp[k] += c->free;
// } else n->dp[k] += c->free;
// }
// n->free = min(n->free, n->dp[k]);
// }
// }
long long dfs(node* n, node* p, int l, int r){
if(l==r && n->lock != -1) return n->lock;
if(l==1&&r==N&&n->free != -1) return n->free;
long long ans = 0;
for(node* c : n->l) if(c!=p) {
if(!c->a){
if(r<n->a+1 || n->a+1 < l){
if(r==N) ans += mic[l]+dfs(c, n, 1, N);
else ans += cost[l]+dfs(c, n, 1,N);
} else {
if(l==r) ans += dfs(c, n, l,r);
else ans += min(dfs(c, n, n->a+1,n->a+1), mic[l]+dfs(c,n,1,N));
}
} else if(c->a == n->a+1){
if(r <= c->a) ans += cost[r]+dfs(c, n, 1, N);
else ans += dfs(c, n, max(l,c->a+1),r);
} else {
if(l==r) ans += cost[l]+dfs(c,n, 1, N);
else ans += mic[l]+dfs(c,n,1,N);
}
}
if(!ans) {
if(l==r) ans = cost[l];
else ans = mic[l];
}
if(l==r) n->lock=ans;
if(l==1&&r==N&&n->free!=-1) n->free=ans;
return ans;
}
void solve(){
int n;cin >> n;
N=n;
node g[n+1];
cost.resize(n+1);
mic.resize(n+1);
for(int i = 1;i <= n;i++) cin >> g[i].a;
for(int i = 1;i <= n;i++) cin >> cost[i];
for(int i = n;i >= 1;i--){
mic[i] = cost[i];
if(i < n) mic[i] = min(mic[i],mic[i+1]);
}
for(int i = 0;i < n-1;i++){
int u,v;cin >> u >> v;
g[u].l.push_back(&g[v]);
g[v].l.push_back(&g[u]);
}
cout << dfs(&g[1], NULL, 1, N) << '\n';
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
solve();
}
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