#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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