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>
#define int long long
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
#define file ""
#define mp make_pair
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define bit(x) (1LL << (x))
#define getbit(x, i) (((x) >> (i)) & 1)
#define popcount __builtin_popcountll
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) {
return l + rd() % (r - l + 1);
}
const int N = 5e3 + 5;
const int mod = (int)1e9 + 7; // 998244353;
const int lg = 25; // lg + 1
const int oo = 1e9;
const long long ooo = 1e18;
template<class X, class Y> bool mini(X &a, Y b) {
return a > b ? (a = b, true) : false;
}
template<class X, class Y> bool maxi(X &a, Y b) {
return a < b ? (a = b, true) : false;
}
void add(int &a, int b) {
a += b;
if (a >= mod) a -= mod;
if (a < 0) a += mod;
}
int n;
vector<int> adj[N];
int a[N];
int fk[N];
int f[N][N];
int ans[N];
void dfs(int u, int p) {
for (int i = a[u] + 1; i <= n; ++i) f[u][i] = fk[i];
for (int v : adj[u]) if (v != p) {
dfs(v, u);
// for (int k = a[u] + 1; k <= n; ++k) {
// if (a[v] == (a[u] + 1) % k) f[u][k] += min(ans[v], f[v][k] - fk[k]);
// else f[u][k] += ans[v];
// }
for (int k = a[u] + 1; k <= n; ++k) {
if (k <= a[v]) f[u][k] += ans[v];
else if (a[v] == 0 && a[u] + 1 == k) f[u][k] += min(ans[v], f[v][k] - fk[k]);
else if (a[v] > 0 && a[u] + 1 == a[v]) f[u][k] += min(ans[v], f[v][k] - fk[k]);
else f[u][k] += ans[v];
}
}
ans[u] = *min_element(f[u] + a[u] + 1, f[u] + n + 1);
}
void process() {
cin >> n;
for (int i = 1; i <= n; ++i) cin >> a[i];
for (int i = 1; i <= n; ++i) cin >> fk[i];
for (int i = 1; i < n; ++i) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs(1, 0);
cout << ans[1];
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#else
// freopen(file".inp", "r", stdin);
// freopen(file".out", "w", stdout);
#endif
int tc = 1;
// cin >> tc;
while (tc--) {
process();
}
return 0;
}
/*
*/
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