#include using namespace std; using ll = long long; using VI = vector; using VL = vector; #define FOR(i,a,n) for(int (i)=(a);(i)<(n);++(i)) #define eFOR(i,a,n) for(int (i)=(a);(i)<=(n);++(i)) #define rFOR(i,a,n) for(int (i)=(n)-1;(i)>=(a);--(i)) #define erFOR(i,a,n) for(int (i)=(n);(i)>=(a);--(i)) #define SORT(i) sort((i).begin(),(i).end()) #define rSORT(i,a) sort((i).begin(),(i).end(),(a)) #define all(i) (i).begin(),(i).end() #define out(y,x) (y) < 0 || h <= (y) || (x) < 0 || w <= (x) #define line cout << "------------------------\n" #define ENDL(i,n) ((i) == (n) - 1 ? "\n" : " ") #define stop system("pause") constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; const long double pi = acos(-1); const long double eps = 1e-10; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; }return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; }return 0; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } template inline istream& operator>>(istream& input, vector& v) { for (auto& elemnt : v)input >> elemnt; return input; } int n; vector>> g; vector ever; VI cnt; int dfs1(int now) { ever[now] = true; for (auto i : g[now]) { int to = i.first; if (ever[to])continue; cnt[now] += dfs1(to); } return cnt[now]; } ll dfs2(int now) { ll ret = 0; ever[now] = true; for (auto i : g[now]) { int to; ll cost; tie(to, cost) = i; if (ever[to])continue; ret += cnt[to] * (n - (ll)cnt[to]) * 2 * cost; ret += dfs2(to); } return ret; } int main() { init(); cin >> n; g.resize(n); FOR(i, 0, n - 1) { int s, t, w; cin >> s >> t >> w; --s, --t; g[s].emplace_back(t, w); g[t].emplace_back(s, w); } ever.resize(n); cnt.resize(n, 1); dfs1(0); ever.clear(); ever.resize(n); cout << dfs2(0) << "\n"; }