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: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
#define int i64
#define ONLINE_JUDGE
void solve(int n) {
vector <int> vec(n +1);
for(int i = 1; i <= n; i++)
cin >> vec[i];
set <int> adj[n +1];
for(int i = 1; i <= n -1; i++) {
int u, v;
cin >> u >> v;
adj[u].emplace(v);
adj[v].emplace(u);
}
function <int(int, int)> dfsMax = [&](int node, int par) -> int {
int ind = node;
for(const int &child : adj[node]) {
if(child != par) {
int g = dfsMax(child, node);
//cerr << child << " " << node << " :: " << g << "\n";
if(vec[g] >= vec[ind]) {
ind = g;
}
}
}
return ind;
};
int res = 0;
function <void(int)> dfsAns = [&](int node) -> void {
//cerr << "# " << node << "\n";
int cev = 0;
vector <int> vvec;
for(const int &child : adj[node]) {
cev += vec[node];
int g = dfsMax(child, node);
cerr << child << " " << node << " :: " << g << "\n";
cev += vec[g];
adj[child].erase(node);
vvec.emplace_back(child);
}
adj[node].clear();
for(int &i : vvec) {
dfsAns(dfsMax(i, node));
}
//cerr << node << " " << cev << "\n";
res += cev;
};
dfsAns(dfsMax(1, 0));
cout << res;
return;
}
void solve2(int n) {
vector <int> vec(n +5, 0);
for(int i = 1; i <= n; i++)
cin >> vec[i];
set <int> adj[n +1];
for(int i = 1; i <= n -1; i++) {
int u, v;
cin >> u >> v;
adj[u].emplace(v);
adj[v].emplace(u);
}
auto f = [&](int a, int b) -> int {
if(vec[a] <= vec[b]) {
return (1 <= b && b <= n) ? b : a;
}
return a;
};
vector <int> ST((n + 10) * 4);
function <int(int, int, int)> build = [&](int node, int l, int r) -> int {
if(l == r) {
return ST[node] = r;
}
int mid = (l + r) / 2;
return ST[node] = f(build(node * 2, l, mid), build(node * 2 +1, mid +1, r));
};
build(1, 1, n + 5);
function <int(int, int, int, int, int)> get = [&](int node, int l, int r, int ql, int qr) -> int {
if(r < ql || qr < l) {
return 0;
} else if(ql <= l && r <= qr) {
return ST[node];
}
int mid = (l + r) / 2;
return f(get(node * 2, l, mid, ql, qr), get(node * 2 +1, mid +1, r, ql, qr));
};
int ans = 0;
function <void(int, int)> dfs = [&](int l, int r) -> void {
//cerr << l << " " << r << "\n";
if(r <= l) {
return;
}
int g = get(1, 1, n + 5, l, r);
//cerr << l << " " << r << " " << g << "\n";
int cev = 0;
cev += vec[get(1, 1, n + 5, l, g -1)];
cev += vec[get(1, 1, n + 5, g +1, r)];
cev += vec[g] * ((g != r) + (g != l));
ans += cev;
//cerr << l << " " << r << " :: " << cev << "\n";
dfs(l, g -1);
dfs(g +1, r);
};
dfs(1, n);
cout << ans;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int t = 1; //cin >> t;
for(int i = 1; i <= t; i++) {
int n;
cin >> n;
if(n <= 1000)
solve(n);
else
solve2(n);
}
return 0;
}
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