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>
#define fi first
#define se second
using namespace std;
const int N=1e5;
int tab[N+10];
vector<pair<int,int>> e[N+10];
bool vis[N+10];
priority_queue<pair<int,int>> pq;
vector<pair<int,int>> ord;
int fau[N+10];
int f(int x)
{
return (fau[x]==x ? x:fau[x]=f(fau[x]));
}
void u(int x,int y)
{
x=f(x);
y=f(y);
if(tab[x]>tab[y])
fau[y]=x;
else
fau[x]=y;
return;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n;
cin>>n;
for(int i=1;i<=n;i++)
{
cin>>tab[i];
pq.push({tab[i],i});
fau[i]=i;
}
for(int i=1;i<n;i++)
{
int a,b;
cin>>a>>b;
e[a].emplace_back(b,i);
e[b].emplace_back(a,i);
}
long long ans=0;
while(!pq.empty())
{
int x=pq.top().se;
pq.pop();
for(auto [v,id]:e[x])
{
if(vis[id])
continue;
vis[id]=true;
ord.emplace_back(x,v);
}
}
reverse(ord.begin(),ord.end());
for(auto [a,b]:ord)
{
ans+=tab[f(a)]+tab[f(b)];
u(a,b);
}
cout<<ans<<"\n";
return 0;
}
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