#include "bits/stdc++.h"
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2")
#define fast ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0)
#define endl '\n'
#define int long long
#define f first
#define mp make_pair
#define s second
using namespace std;
//figure out n^2 with bottom up dp
const int N = 1e5 + 5;
int n, k;
vector <pair<int,int> > g[N];
int dp[N], leaf[N], ans[N];
bitset<100001> seen;
multiset <int> top, back;
int top_sum = 0;
void shift(){
while(top.size() < k && back.size()){
int ed = *back.rbegin();
back.erase(back.find(ed));
top_sum += ed;
top.insert(ed);
}
while(back.size()){
int ed = *back.rbegin(), st = *top.begin();
if(ed <= st) break;
back.erase(back.find(ed));
top.erase(top.find(st));
top_sum += ed - st;
back.insert(st);
top.insert(ed);
}
}
void ins(int x){
back.insert(x);
shift();
}
void del(int x){
if(back.find(x) != back.end()){
back.erase(back.find(x));
}
else{
top_sum -= x;
top.erase(top.find(x));
}
shift();
}
void dfs(int node, int par){
if(g[node].size() == 1 && par != -1){
leaf[node] = node;
dp[node] = 0;
seen[node] = true;
return;
}
pair<int,int> mx = mp(-1, -1);
for(pair<int,int> i : g[node]){
if(i.f == par) continue;
dfs(i.f, node);
dp[leaf[i.f]] += i.s;
mx = max(mx, mp(dp[leaf[i.f]], leaf[i.f]));
}
dp[mx.s] = mx.f;
leaf[node] = mx.s;
}
void get_ans(int node, int par){
ans[node] = top_sum;
int bot = leaf[node];
for(pair<int,int> i : g[node]){
if(i.f == par) continue;
if(leaf[i.f] == bot){//currently on the max chain
pair<int,int> nx = mp(-1, -1);
for(pair<int,int> j : g[node]){
if(leaf[j.f] == leaf[i.f]) continue;
// cout << j.f << ": " << leaf[j.f] << ' ' << dp[leaf[j.f]] << endl;
nx = max(nx, mp(dp[leaf[j.f]], leaf[j.f]));
}
// cout << node << ": " << leaf[node] << ": " << nx.f << " " << nx.s << endl;
// continue;
del(dp[bot]);
del(dp[nx.s]);
// if(dp[bot] == dp[nx.s] && dp[bot] == 26){
// cout << "OVER HERE" << endl;
// }
dp[bot] -= i.s;
dp[nx.s] += i.s;
leaf[node] = nx.s;
if(dp[nx.s] > dp[bot]){
// leaf[node] = nx.s;
leaf[i.f] = nx.s;
}
// if(i.s == 7){
// cout << bot << ": " << dp[bot] << " " << dp[nx.s] << ' ' << i.f << " " << leaf[i.f] << endl;
// }
ins(dp[bot]);
ins(dp[nx.s]);
get_ans(i.f, node);
del(dp[bot]);
del(dp[nx.s]);
dp[bot] += i.s;
dp[nx.s] -= i.s;
leaf[node] = leaf[i.f] = bot;
ins(dp[bot]);
ins(dp[nx.s]);
}
else{//not on the max chain --> "train" as they say in 602 idfk
del(dp[bot]);
del(dp[leaf[i.f]]);
dp[bot] += i.s;
dp[leaf[i.f]] -= i.s;
ins(dp[bot]);
ins(dp[leaf[i.f]]);
int keep = leaf[i.f];
if(dp[bot] > dp[leaf[i.f]]) leaf[i.f] = bot;
get_ans(i.f, node);
del(dp[bot]);
del(dp[keep]);
dp[bot] -= i.s;
dp[keep] += i.s;
leaf[i.f] = keep;
ins(dp[bot]);
ins(dp[leaf[i.f]]);
}
}
}
signed main()
{
fast;
cin >> n >> k;
for(int i = 1; i < n; i++){
int a, b, x; cin >> a >> b >> x;
g[a].push_back(mp(b, x));
g[b].push_back(mp(a, x));
}
dfs(1, -1);
for(int i = 1; i <= n; i++){
if(leaf[i]) ins(dp[i]);
}
get_ans(1, -1);
for(int i = 1; i <= n; i++) cout << ans[i] << endl;
}
