#include #define rep(i,n) for(int i = 0; i < (n); ++i) #define rrep(i,n) for(int i = 1; i <= (n); ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) #define srep(i,s,t) for (int i = s; i < t; ++i) #define rng(a) a.begin(),a.end() using namespace std; typedef long long int ll; typedef pair P; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector

vp; #define dame { puts("-1"); return 0;} #define yn {puts("Yes");}else{puts("No");} #define MAX_N 200005 vector

G[MAX_N]; int par[MAX_N][2]; // 親、親と子の間のコスト int cnt[MAX_N]; vector

sum[MAX_N]; int main() { int n; cin >> n; rep(i,n-1){ int from, to, cost; cin >> from >> to >> cost; G[from].push_back(P(to,cost)); G[to].push_back(P(from, cost)); } // 根付き木に queue que; que.push(1); par[1][0] = 200004; par[1][1] = 1; while(que.size() > 0){ int x = que.front(); que.pop(); rep(i,G[x].size()){ if(par[G[x][i].first][0] == 0){ par[G[x][i].first][0] = x; que.push(G[x][i].first); par[G[x][i].first][1] = G[x][i].second; } } } srep(i,2,n+1)cnt[par[i][0]]++; // ボトムアップに計算 ll ans = 0; srep(i,1,n+1){ if(cnt[i] == 0){ que.push(i); } } while(que.size()>0){ int x = que.front(); que.pop(); if(x == 200004)break; if(cnt[x] != 0)continue; if(sum[x].size() == 0){ // 葉 sum[par[x][0]].push_back(P(par[x][1], 1)); }else{ // 計算 ll tmp = 0; ll count = 0; rep(i, sum[x].size()){ tmp += sum[x][i].first; count += sum[x][i].second; } count++; tmp += par[x][1] * count; sum[par[x][0]].push_back(P(tmp, count)); count; tmp = 0; rep(i, sum[x].size()){ tmp += sum[x][i].first * (count - sum[x][i].second); } ans += tmp; } cnt[par[x][0]]--; if(cnt[par[x][0]] == 0)que.push(par[x][0]); /* if(cnt[x] == 0){ cout << x << " : "; rep(i,sum[x].size())cout << '(' << sum[x][i].first << ',' << sum[x][i].second << ')'; cout << endl; } */ } ans *= 2; cout << ans << endl; return 0; }