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 PB push_back
#define ST first
#define ND second
//#pragma GCC optimize ("O3")
//#pragma GCC target("tune=native")
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
using namespace std;
using ll = long long;
using pi = pair<int, int>;
using vi = vector<int>;
const int nax = 100 * 1000 + 10;
int n;
vector<pi>G[nax];
bool matched[nax];
int ans;
void dfs(int x, int p) {
matched[x] = false;
for(auto [nbh, w] : G[x]) if(nbh != p) {
dfs(nbh, x);
if(!matched[x] && !matched[nbh]) {
matched[x] = true;
ans++;
}
}
}
vector<ll> minimum_closure_costs(int N, vi U, vi V, vi W) {
n = N;
ll sum = 0;
for(int i = 0; i < n - 1; ++i) {
G[U[i]].emplace_back(V[i], W[i]);
G[V[i]].emplace_back(U[i], W[i]);
sum += W[i];
}
dfs(0, -1);
vector<ll>res(n);
for(int i = 0; i < n; ++i) {
res[i] = max(0LL, sum - ans*i);
}
return res;
}
//int main() {
//ios_base::sync_with_stdio(0);
//cin.tie(0);
//cin >> n;
//vi u(n-1), v(n-1), w(n-1);
//for(int i = 0; i < n-1; ++i) cin >> u[i] >> v[i] >> w[i];
//auto vec = minimum_closure_costs(n, u, v, w);
//for(auto x : vec) cout << x << " ";
//}
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