이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#define in(x) freopen(x, "r", stdin)
#define out(x) freopen(x, "w", stdout)
//#include <time.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
#define F first
#define S second
#define pb push_back
//#define M ll(1e9 + 7)
#define M ll(998244353)
#define sz(x) (int)x.size()
#define re return
#define oo ll(1e18)
#define el '\n'
#define pii pair <int, int>
#define all(x) (x).begin(), (x).end()
#define arr_all(x, n) (x + 1), (x + 1 + n)
#define vi vector<int>
#define eps (ld)1e-9
using namespace std;
typedef long long ll;
//using namespace __gnu_pbds;
//typedef tree <ll, null_type, less_equal <ll> , rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef double ld;
typedef unsigned long long ull;
typedef short int si;
const int N = 1e5 + 500;
int pr[N], mx[N], siz[N];
int n, cost[N], num[N];
vector <int> g[N];
ll ans;
bool mk[N];
int f(int x) {return (x == pr[x] ? x : pr[x] = f(pr[x]));}
void link(int x, int y) {
x = f(x);
y = f(y);
if (siz[x] > siz[y]) {
swap(x, y);
}
mx[y] = max(mx[x], mx[y]);
pr[x] = y;
siz[y] += siz[x];
}
bool cmp(int _i, int _j) {return (cost[_i] > cost[_j]);}
int main()
{
// mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());;
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// in("toys.in");
// out("toys.out");
// in("input.txt");
// out("output.txt");
// cerr.precision(9); cerr << fixed;
// clock_t tStart = clock();
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> cost[i];
num[i] = i;
}
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
g[u].pb(v);
g[v].pb(u);
}
sort(arr_all(num, n), cmp);
vector <pii> vc;
for (int i = 1; i <= n; i++) {
int v = num[i];
for (auto u : g[v]) {
if (mk[u])
continue;
vc.pb({u, v});
}
mk[v] = 1;
}
reverse(all(vc));
for (int i = 1; i <= n; i++) {
pr[i] = i;
siz[i] = 1;
mx[i] = cost[i];
}
for (auto pi : vc) {
int v = pi.F;
int u = pi.S;
if (f(v) == f(u)) {
continue;
}
if (cost[v] < cost[u]) {
swap(u, v);
}
ans += cost[v];
ans += mx[f(u)];
link(v, u);
}
cout << ans;
}
/*
7
4 6 7 2 3 1 5
*/
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