#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2,popcnt")
using ll = long long;
#define int long long
#define forn(i,n) for(int i=0; i<(n); ++i)
#define pb push_back
#define pi pair<int,int>
#define f first
#define s second
#define vii(a,n) vector<int> a(n); forn(i,n) cin>>a[i];
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int inf = INT_MAX;
const int mod = 998244353;
int n=1e5,k;
vector<vector<pi>> adj(n);
vector<vector<ll>> ans(n);
vector<int> mx(n,-1);
vector<int> d(n,0);
vector<int> paiuans(n,0);
void dfspaiu(int u, int p) {
for(auto&e:adj[u]) {
int v=e.f,w=e.s;
if (v==p) continue;
dfspaiu(v,u);
d[u]=max(d[u],d[v]+w);
}
}
void paia(int u, int p, int out) {
vector<int> pref(1,0);
paiuans[u]=max(d[u],out);
for(auto&e:adj[u]) {
int v=e.f,w=e.s;
if (v==p) {pref.pb(pref.back()); continue;}
pref.pb(max(pref.back(),d[v]+w));
}
int suf=0;
int sz=adj[u].size();
for(int i=sz-1; i>=0; --i) {
auto e=adj[u][i];
int v=e.f,w=e.s;
if (v==p) continue;
//cout<<v<<' '<<w<<" "<<pref[i]<<' '<<suf<<'\n';
paia(v,u,max({pref[i],suf,out})+w);
suf=max(suf,d[v]+w);
}
}
void paiu() {
dfspaiu(0,-1);
paia(0,-1,0);
forn(i,n) cout<<paiuans[i]<<'\n';
exit(0);
}
void dfs(int u,int p) {
int m=-1;
for(auto&e:adj[u]) {
int v=e.f,w=e.s;
if (v==p) continue;
dfs(v,u);
if (ans[u].size()<ans[v].size()) swap(ans[u],ans[v]);
if (mx[v]+w>m) {
if (m!=-1) ans[u].pb(m);
m=mx[v]+w;
} else {
ans[u].pb(mx[v]+w);
}
for(auto&x:ans[v]) ans[u].pb(x);
}
mx[u]=max(m,0ll);
}
void solve() {
cin>>n>>k;
forn(i,n-1) {
int u,v,w; cin>>u>>v>>w; --u, --v;
adj[u].pb({v,w});
adj[v].pb({u,w});
}
if (k==1) paiu();
forn(u,n) {
forn(i,n) ans[i].clear();
mx.assign(n,-1);
dfs(u,-1);
ll answer=mx[u];
sort(rall(ans[u]));
forn(i,min(k-1,(int)ans[u].size())) {
answer+=ans[u][i];
}
cout<<answer<<'\n';
}
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t=1;
//cin>>t;
while (t--) solve();
return 0;
}
