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 X first
#define Y second
#define sz(a) (int)a.size()
#define ll long long
#define ld long double
const int N = 3e5 + 100;
int dsu[N];
int val[N];
int rang[N];
vector <pair <int, int> > vec[N];
int pred(int a)
{
if(a == dsu[a]) return a;
return dsu[a] = pred(dsu[a]);
}
void unite(int a, int b)
{
a = pred(a);
b = pred(b);
if(rang[b] < rang[a])
{
swap(a, b);
}
dsu[b] = a;
rang[a] += rang[b];
val[a] = max(val[a], val[b]);
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin >> n;
vector <pair <int, int> > a(n);
for(int i = 0; i < n; i++)
{
cin >> a[i].X;
val[i] = a[i].X;
a[i].Y = i;
dsu[i] = i;
rang[i] = 1;
}
sort(a.begin(), a.end());
vector <vector <int> > g(n);
for(int i = 0; i < n - 1; i++)
{
int a, b;
cin >> a>> b;
a--;
b--;
vec[a].push_back({a, b});
vec[b].push_back({b, a});
g[a].push_back(b);
g[b].push_back(a);
}
ll s = 0;
for(int i = 0; i < n; i++)
{
int minto = -1;
int v = a[i].Y;
for(int j = 0; j < sz(g[v]); j++)
{
if(pred(g[v][j]) != pred(v))
{
if(minto == -1 || val[pred(g[v][j])] < val[pred(minto)])
{
minto = g[v][j];
}
}
}
if(minto != -1)
{
s += val[pred(v)] + val[pred(minto)];
unite(minto, v);
}
}
cout << s;
return 0;
}
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