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;
const int N = 1e5 + 5;
struct dsu {
int lab[N];
int mx[N];
dsu() {
memset(lab, -1, sizeof(lab));
memset(mx, -1, sizeof(mx));
}
int find(int u) {
return lab[u] < 0 ? u : lab[u] = find(lab[u]);
}
bool merge(int u, int v) {
if ((u = find(u)) == (v = find(v))) {
return false;
}
if (lab[u] > lab[v]) {
swap(u, v);
}
lab[u] += lab[v];
lab[v] = u;
mx[u] = max(mx[u], mx[v]);
return true;
}
};
int n;
int t[N];
int ord[N];
bool on[N];
vector<int> g[N];
dsu d;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> t[i];
}
for (int i = 1; i <= n - 1; i++) {
int x, y;
cin >> x >> y;
g[x].emplace_back(y);
g[y].emplace_back(x);
}
iota(ord + 1, ord + n + 1, 1);
sort(ord + 1, ord + n + 1, [](int &u, int &v) -> bool {
return t[u] < t[v];
});
long long ans = 0;
for (int i = 1; i <= n; i++) {
d.mx[ord[i]] = t[ord[i]];
for (int j : g[ord[i]]) {
if (on[j]) {
ans += d.mx[d.find(j)];
ans += t[ord[i]];
d.merge(ord[i], j);
}
}
on[ord[i]] = true;
}
cout << ans << '\n';
return 0;
}
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