#include <bits/stdc++.h>
using namespace std;
const int N = 2000;
vector<pair<int,int>> adj[N];
long long dp[N][N];
void dfs(int u, int p = -1) {
for (auto [v, w] : adj[u]) if (v != p) {
dfs(v, u);
}
for (auto [v, w] : adj[u]) if (v != p) {
dp[0][u] += w + dp[0][v];
}
for (int k = 1; k < N; k++) {
vector<long long> difs;
for (auto [v, w] : adj[u]) if (v != p) {
dp[k][u] += w + dp[k][v];
difs.emplace_back(dp[k-1][v] - (w + dp[k][v]));
}
ranges::sort(difs);
for (int i = 0; i < k && i < difs.size(); i++) {
dp[k][u] = min(dp[k][u], dp[k][u] + difs[i]);
}
}
// for (int k = 0; k < 1; k++)
// cout << u << " " << k << " " << dp[k][u] << "\n";
}
vector<long long> minimum_closure_costs(int n, vector<int> u, vector<int> v, vector<int> w) {
for (int i = 0; i < n-1; i++) {
adj[u[i]].emplace_back(v[i], w[i]);
adj[v[i]].emplace_back(u[i], w[i]);
}
dfs(0);
vector<long long> ans(n);
for (int i = 0; i < n; i++)
ans[i] = dp[i][0];
return ans;
}
