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;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 100005
int numNode;
int label[MAX];
struct Edge{
int u, v, w;
Edge(){}
Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){}
int other(int x){
return (x ^ u ^ v);
}
bool operator < (const Edge &o) const{
return w < o.w;
}
} edge[MAX];
struct DSU{
vector<int> pa, sz, value;
int sum = 0;
int n;
DSU(int _n = 0){
this -> n = _n;
pa.resize(n + 5);
iota(pa.begin(), pa.end(), 0);
sz.resize(n + 5, 1);
value.resize(n + 5);
}
int find(int u){return u == pa[u] ? u : pa[u] = find(pa[u]);}
bool joint(int u, int v){
u = find(u), v = find(v);
if(u == v) return false;
if(sz[u] < sz[v]) swap(u, v);
sz[u] += sz[v];
sum += value[u] + value[v];
maximize(value[u], value[v]);
pa[v] = u;
return true;
}
int answer(void){
return sum;
}
};
void process(void){
cin >> numNode;
DSU dsu(numNode);
for (int i = 1; i <= numNode; ++i){
cin >> label[i];
dsu.value[i] = label[i];
}
for (int i = 1; i < numNode; ++i){
cin >> edge[i].u >> edge[i].v;
edge[i].w = max(label[edge[i].u], label[edge[i].v]);
}
sort(edge + 1, edge + numNode);
for (int i = 1; i < numNode; ++i){
dsu.joint(edge[i].u, edge[i].v);
}
cout << dsu.answer();
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
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