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;
typedef long long ll;
typedef pair<int, int> pii;
const int MAX = 2e6 + 15;
const int INF = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
#define pb push_back
#define sz(x) (int) x.size()
#define fr first
#define sc second
#define mp make_pair
#define all(x) x.begin(), x.end()
#define dbg(x) cerr << #x << ": " << "[ " << x << " ]\n"
ll n, t[MAX], pai[MAX], mark[MAX], mx[MAX], sze[MAX], ans;
vector<ll> adj[MAX];
ll find(ll u){
if(pai[u] == u) return u;
return pai[u] = find(pai[u]);
}
ll join(ll u, ll v){
u = find(u), v = find(v);
if(u == v) return 0;
if(sze[v] > sze[u]) swap(u, v);
ll cut = mx[u] + mx[v];
pai[v] = u, sze[u] += sze[v], mx[u] = max(mx[u], mx[v]);
return cut;
}
ll getMax(ll u){
return mx[find(u)];
}
bool cmp(ll u, ll v){
return t[u] > t[v];
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for(int i = 1; i <= n; i++)
cin >> t[i];
for(int i = 1; i < n; i++){
ll u, v; cin >> u >> v;
adj[u].pb(v); adj[v].pb(u);
}
for(int i = 1; i <= n; i++)
pai[i] = i, mx[i] = t[i], sze[i] = 1;
vector<ll> order(n);
iota(all(order), 1);
sort(all(order), cmp);
vector<pii> edges;
for(auto u : order){
for(auto v : adj[u]){
if(mark[v]) continue;
edges.pb({u, v});
}
mark[u] = true;
}
reverse(all(edges));
for(auto e : edges)
ans += join(e.fr, e.sc);
cout << ans << '\n';
return 0;
}
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