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;
#define fi first
#define se second
#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define clz __builtin_clzll
#define ctz __builtin_ctzll
#define popcount __builtin_popcount
#define lg(x) (63 - clz(x))
template <class X, class Y>
inline bool maximize(X &x, Y y) {
if (x < y) return x = y, true;
return false;
}
template <class X, class Y>
inline bool minimize(X &x, Y y) {
if (x > y) return x = y, true;
return false;
}
template <class X>
inline void compress(vector<X> &a) {
sort(all(a)); a.resize(unique(all(a)) - a.begin());
}
const ll oo = (ll) 1e17;
const int inf = (int) 1e9, mod = (int) 1e9 + 7;
const int mxn = (int) 1e5 + 5, mxm = (int) 11;
int n;
int t[mxn];
vector<int> node;
ll ans;
bool ok[mxn];
vector<int> g[mxn];
class Dsu {
int n;
vector<int> par, sz;
vector<int> max_cc;
// set<pair<int, int>> s;
public:
Dsu(int n) : n(n) {
par.resize(n+1);
sz.resize(n+1, 1);
max_cc.resize(n+1);
for (int i = 1; i <= n; ++i) {
par[i] = i;
max_cc[i] = t[i];
}
}
int find_set(int u) {
return (u == par[u] ? u : par[u] = find_set(par[u]));
}
bool union_set(int u, int v) {
u = find_set(u);
v = find_set(v);
if (u == v) return false;
if (sz[u] < sz[v]) swap(u, v);
par[v] = u; sz[u] += sz[v];
maximize(max_cc[u], max_cc[v]);
return true;
}
int get_max(int u) { return max_cc[find_set(u)]; }
};
ll dnc(int p, Dsu &dsu) {
if (p == sz(node)) return 0;
ll res = dnc(p+1, dsu);
for (int v : g[node[p]]) if (ok[v]) {
res += t[node[p]] + dsu.get_max(v);
dsu.union_set(node[p], v);
}
ok[node[p]] = true;
return res;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1; i <= n; ++i) {
cin >> t[i];
}
for (int i = 1; i < n; ++i) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
node.resize(n);
iota(all(node), 1);
sort(all(node), [&](int &u, int &v) {
return t[u] > t[v];
});
Dsu dsu(n);
cout << dnc(0, dsu);
return 0;
}
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