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>
#include <ext/pb_ds/assoc_container.hpp>
#pragma GCC optimize("-Ofast")
//#pragma GCC optimize("trapv")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.2,popcnt,abm,mmx,avx2,tune=native")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-funroll-loops")
using namespace std;
using namespace __gnu_pbds;
#define vi vector<int>
#define vll vector<ll>
#define vii vector<pair<int, int>>
#define vvi vector<vi>
#define vvii vector<vii>
#define pii pair<int, int>
#define pll pair<ll, ll>
#define loop(_) for (int __ = 0; __ < (_); ++__)
#define forn(i, n) for (int i = 0; i < n; ++i)
#define pb push_back
#define f first
#define s second
#define sz(_) ((int)_.size())
#define all(_) _.begin(), _.end()
#define uni(_) unique(_)
#define lb lower_bound
#define ub upper_bound
#define si set<int>
#define ms multiset<int>
#define qi queue<int>
#define pq prioriry_queue<int>
#define mi map<int, int>
#define inc(i, l, r) for (int i = l; i <= r; i++)
#define dec(i, l, r) for (int i = l; i >= r; i--)
using lll = __int128;
using ll = long long;
using ld = long double;
const int N = 1e5 + 7;
const ll mod = 1e9 + 7;
const ll inf = 2e18;
auto ra = [] {char *p = new char ; delete p ; return ll(p) ; };
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count() * (ra() | 1));
typedef tree<pii, null_type, less<pii>, rb_tree_tag, tree_order_statistics_node_update> os;
int n;
struct dsu
{
int fat[N];
int mx[N];
dsu()
{
iota(fat, fat + N, 0);
}
int find(int x) { return fat[x] = (x == fat[x] ? x : find(fat[x])); }
void link(int u, int v)
{
u = find(u), v = find(v);
mx[v] = max(mx[v], mx[u]);
fat[u] = v;
}
bool same(int u, int v)
{
return find(u) == find(v);
}
} de;
priority_queue<pair<int, pii>, vector<pair<int, pii>>, greater<pair<int, pii>>> pr;
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
#ifndef ONLINE_JUDGE
#endif
cin >> n;
for (int i = 1; i <= n; ++i)
cin >> de.mx[i];
vii ed;
for (int i = 0; i < n - 1; ++i)
{
int u, v;
cin >> u >> v;
ed.pb({u, v});
pr.push({de.mx[u] + de.mx[v], {u, v}});
}
ll ans = 0;
while (sz(pr))
{
pair<int, pii> tp = pr.top();
pr.pop();
if (de.same(tp.s.f, tp.s.s))
{
continue;
}
if (de.mx[de.find(tp.s.f)] + de.mx[de.find(tp.s.s)] != tp.f)
{
pr.push({de.mx[de.find(tp.s.f)] + de.mx[de.find(tp.s.s)], tp.s});
continue;
}
ans += tp.f;
de.link(tp.s.f, tp.s.s);
}
cout << ans;
return 0;
}
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