#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;
void add(int val) {
if (val == 0) return;
s1.insert(val);
sum += val;
if (s1.size() > k) {
int minv = (*s1.begin());
sum -= minv;
s1.erase(s1.find(minv));
s2.insert(minv);
}
}
void rem(int val) {
if (val == 0) return;
if (s1.find(val) != s1.end()) {
sum -= val;
s1.erase(s1.find(val));
} else {
s2.erase(s2.find(val));
return;
}
if (s1.size() < k && s2.size() > 0) {
int maxv = (*s2.rbegin());
s2.erase(s2.find(maxv));
s1.insert(maxv);
sum += maxv;
}
}
vector<pair<int, int>> G[maxn];
int ans[maxn];
void dfs1(int node, int par) {
for (auto& nxt : G[node]) {
int neigh = nxt.first, w = nxt.second;
if (neigh == par) continue;
dfs1(neigh, node);
if (ch[neigh] + w > ch[node]) {
son[node] = neigh;
ch[node] = ch[neigh] + w;
}
}
for (auto& nxt : G[node]) {
int neigh = nxt.first, w = nxt.second;
if (neigh == par || neigh == son[node]) continue;
if (ch[neigh] + w > ch2[node]) {
son2[node] = neigh;
ch2[node] = ch[neigh] + w;
}
add(ch[neigh] + w);
}
}
void dfs2(int node, int par, int parwe) {
ans[node] = sum;
for (auto& nxt : G[node]) {
int neigh = nxt.first, w = nxt.second;
if (neigh == par) continue;
rem(ch[neigh] + w);
add(ch[neigh]);
int maxWeight;
if (neigh == son[node]) {
maxWeight = max(parwe, ch2[node]) + w;
} else {
maxWeight = max(parwe, ch[node]) + w;
}
rem(maxWeight - w);
add(maxWeight);
dfs2(neigh, node, maxWeight);
rem(maxWeight);
add(maxWeight - w);
rem(ch[neigh]);
add(ch[neigh] + w);
}
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
for (int i = 1; i < n; i++) {
int u, v, w;
cin >> u >> v >> w;
G[u].push_back(make_pair(v, w));
G[v].push_back(make_pair(u, w));
}
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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