#include <string>
#include <iostream>
#include <queue>
#include <math.h>
#include <stack>
#include <map>
#include <algorithm>
#include <set>
#include <tuple>
#include <stack>
#include <vector>
#include <sstream>
#include <deque>
#include <string>
#include <cstring>
#include <cmath>
#include <numeric>
using namespace std;
typedef long long ll;
const int maxn = 1e5 + 5;
int ch[maxn], son[maxn], ch2[maxn], son2[maxn], n, k;
multiset<int> s1, s2;
int sum = 0;
void rem(int v) {
if (v == 0) return;
auto it = s1.find(v);
if (it != s1.end()) {
sum -= v;
s1.erase(it);
} else {
s2.erase(s2.find(v));
return;
}
if (s1.size() < k && !s2.empty()) {
int maxv = *s2.rbegin();
s2.erase(s2.find(maxv));
s1.insert(maxv);
sum += maxv;
}
}
void add(int v) {
if (v == 0) return;
s1.insert(v);
sum += v;
if (s1.size() > k) {
int minv = *s1.begin();
sum -= minv;
s1.erase(s1.find(minv));
s2.insert(minv);
}
}
vector<pair<int, int> > G[maxn];
int ans[maxn];
void dfs1(int u, int p) {
for (int i = 0; i < G[u].size(); i++) {
int v = G[u][i].first;
int w = G[u][i].second;
if (v == p) continue;
dfs1(v, u);
if (ch[v] + w > ch[u]) {
ch[u] = ch[v] + w;
son[u] = v;
}
}
for (int i = 0; i < G[u].size(); i++) {
int v = G[u][i].first;
int w = G[u][i].second;
if (v == p || v == son[u]) continue;
if (ch[v] + w > ch2[u]) {
ch2[u] = ch[v] + w;
son2[u] = v;
}
add(ch[v] + w);
}
}
void dfs2(int u, int p, int pw) {
ans[u] = sum;
for (int i = 0; i < G[u].size(); i++) {
int v = G[u][i].first;
int w = G[u][i].second;
if (v == p) continue;
rem(ch[v] + w);
add(ch[v]);
int mx;
if (v == son[u]) {
mx = max(pw, ch2[u]) + w;
} else {
mx = max(pw, ch[u]) + w;
}
rem(mx - w);
add(mx);
dfs2(v, u, mx);
rem(mx);
add(mx - w);
rem(ch[v]);
add(ch[v] + w);
}
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
for (int i = 1; i < n; i++) {
int x, y, c;
cin >> x >> y >> c;
G[y].push_back({x, c});
G[x].push_back({y, c});
}
dfs1(1, 0);
add(ch[1]);
dfs2(1, 0, 0);
for (int i = 1; i <= n; i++) {
cout << ans[i] << '\n';
}
return 0;
}
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