/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
#define ff first
#define ss second
#define pii pair<int,int>
#define vi vector<int>
const int N = 1e6+100, M = 1e5+10, K = 52, MX = 30;
int n, k, leaf = 0, leaf_id[N], down[N];
ll num[N], dist[N];
vector<pair<int, ll>> g[N];
void pre(int v, int p){
leaf_id[v] = 0;
if(g[v].size()==1){
leaf_id[v] = ++leaf;
}
for(auto [u, w]: g[v]) if(u != p) pre(u, v);
}
void dfs(int v, int p){
down[v] = v;
dist[v] = 0;
for(auto [u, w]: g[v]){
if(u != p){
dfs(u, v);
if(dist[u] + w > dist[v]){
dist[v] = dist[u] + w;
down[v] = down[u];
}
}
}
// cerr << v << ' ' << down[v] << '\n';
for(auto [u, w]: g[v]){
if(u != p){
if(down[v] != down[u]){
num[leaf_id[down[u]]] = dist[u] + w;
}
}
}
}
void solve(){
cin >> n >> k;
if(n==1){
cout << 0;
return;
}
for(int i = 0; i < n-1; ++i){
int u, v, w; cin >> u >> v >> w;
g[u].pb({v, w});
g[v].pb({u, w});
}
pre(1, 1);
for(int i = 1; i <= n; ++i){
for(int j = 1; j <= leaf; ++j) num[j] = 0;
dfs(i, i);
ll sum = 0;
num[leaf_id[down[i]]] = dist[i];
sort(num+1, num+1+leaf, greater<ll>());
for(int j = 1; j <= min(leaf, k); ++j){
sum += num[j];
}
cout << sum << '\n';
}
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
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