#include <bits/stdc++.h>   inline int read() {     register int x = 0;     register char f = 1, ch = getchar();     for (; !isdigit(ch); ch = getchar())       if (ch ==  - ) f = !f;     for (; isdigit(ch); ch = getchar()) x = (x << 1) + (x << 3) + (ch ^  0 );     return f ? x : -x;   }   int n, d[250005], X, vis[250005];   long long sum;   std ::vector<std ::pair<int, int> > E[250005];   std ::pair<int, int> D[250005];   void addedge(int u, int v, int w) {     E[u].push_back(std ::make_pair(v, w)), ++d[u];   }   bool cmp(std ::pair<int, int> x, std ::pair<int, int> y) {     return d[x.first] > d[y.first];   }   struct Normal_Heap {     std ::vector<long long> a;     void push(long long x) {       a.push_back(x), std ::push_heap(a.begin(), a.end());     }     long long top() { return a[0]; }     void pop() { std ::pop_heap(a.begin(), a.end()), a.pop_back(); }     long long popn() {       long long x;       return std ::pop_heap(a.begin(), a.end()), x = a[a.size() - 1],                                                  a.pop_back(), x;     }     int size() { return a.size(); }   };   struct Erase_Heap {     Normal_Heap a, b;     int sz;     long long sum;     void push(long long x) { a.push(x), ++sz, sum += x; }     void erase(long long x) { b.push(x), --sz, sum -= x; }     void pre() {       while (a.size() && b.size() && a.top() == b.top()) a.pop(), b.pop();     }     long long top() { return pre(), a.top(); }     void pop() { pre(), --sz, sum -= a.top(), a.pop(); }     int size() { return sz; }   } H[250005];   void die(int u) {     for (auto to : E[u]) {       register int v = to.first, w = to.second;       if (d[v] <= X) break;       H[v].push(w);     }   }   long long dp[250005][2];   std ::vector<long long> tmp, del;   void dfs(int u, int fa = 0) {     vis[u] = X;     int num = d[u] - X;     long long res = 0;     for (; H[u].size() > num; H[u].pop())       ;     for (auto to : E[u]) {       register int v = to.first, w = to.second;       if (v == fa) continue;       if (d[v] <= X) break;       dfs(v, u);     }     tmp.clear(), del.clear();     for (auto to : E[u]) {       register int v = to.first, w = to.second;       if (v == fa) continue;       if (d[v] <= X) break;       long long x = dp[v][1] + w - dp[v][0];       if (x <= 0) {         --num, res += dp[v][1] + w;         continue;       }       res += dp[v][0], H[u].push(x), del.push_back(x);     }     for (; H[u].size() && H[u].size() > num; H[u].pop())       tmp.push_back(H[u].top());     dp[u][0] = res + H[u].sum;     for (; H[u].size() && H[u].size() > num - 1; H[u].pop())       tmp.push_back(H[u].top());     dp[u][1] = res + H[u].sum;     for (auto i : tmp) H[u].push(i);     for (auto i : del) H[u].erase(i);   }   int main() {     n = read();     for (register int i = 1, u, v, w; i < n; ++i)       u = read(), v = read(), w = read(), addedge(u, v, w), addedge(v, u, w),       sum += w;     printf( %lld , sum);     for (register int i = 1; i <= n; ++i)       D[i] = std ::make_pair(d[i], i), std ::sort(E[i].begin(), E[i].end(), cmp);     std ::sort(D + 1, D + 1 + n);     register int i = 1;     for (X = 1; X < n; ++X) {       while (i <= n && D[i].first == X) die(D[i].second), ++i;       long long ans = 0;       for (register int j = i; j <= n; ++j) {         register int v = D[j].second;         if (vis[v] == X) continue;         dfs(v), ans += dp[v][0];       }       printf(  %lld , ans);     }     putchar(  n );   }