This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
* author: Araragi
*/
// 3
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define F first
#define S second
//using namespace __gnu_pbds;
//typedef tree <int, null_type, less_equal <int> , rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
ll cost[100001];
vector<ll> dsu;
ll ans;
inline ll get(ll x)
{
return (dsu[x] == x ? x : dsu[x] = get(dsu[x]));
}
inline bool unite(ll x, ll y)
{
ll xx = get(x);
ll yy = get(y);
if (xx != yy)
{
dsu[xx] = yy;
ans += cost[xx];
ans += cost[yy];
cost[yy] = max(cost[yy], cost[xx]);
return true;
}
return false;
}
bool cmp(pair<ll, ll> x, pair<ll, ll> y)
{
return max(cost[x.F], cost[x.S]) < max(cost[y.F], cost[y.S]);
}
int main()
{
//ifstream cin("vacation.in");
//ofstream cout("vacation.out");
ll n;
cin >> n;
for (ll i = 1; i <= n; i++)
cin >> cost[i];
dsu.resize(n + 1);
iota(dsu.begin(), dsu.end(), 0);
vector<pair<ll, ll> > edges;
for (ll i = 1; i < n; i++)
{
ll x, y;
cin >> x >> y;
edges.pb({x, y});
}
sort(edges.begin(), edges.end(), cmp);
for (auto edge : edges)
if (unite(edge.F, edge.S))
{
// without code, need void
}
cout << ans;
}
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