#include #define rep(i, n) for(int(i) = 0; (i) < (n); (i)++) #define FOR(i, m, n) for(int(i) = (m); (i) < (n); (i)++) #define ALL(v) (v).begin(), (v).end() #define LLA(v) (v).rbegin(), (v).rend() #define SZ(v) (v).size() #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define DOUBLE(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define STRING(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ read(name) using namespace std; using ll = long long; using pii = pair; using pll = pair; using Graph = vector>; template struct edge { int to; T cost; edge(int t, T c) : to(t), cost(c) {} }; template using WGraph = vector>>; const int INF = 1 << 30; const ll LINF = 1LL << 60; const int MOD = 1e9 + 7; template inline vector make_vec(size_t a, T val) { return vector(a, val); } template inline auto make_vec(size_t a, Ts... ts) { return vector(a, make_vec(ts...)); } void read() {} template inline void read(T &a) { cin >> a; } template inline void read(pair &p) { read(p.first), read(p.second); } template inline void read(vector &v) { for(auto &a : v) read(a); } template inline void read(Head &head, Tail &...tail) { read(head), read(tail...); } template inline void chmax(T &a, T b) { (a < b ? a = b : a); } template inline void chmin(T &a, T b) { (a > b ? a = b : a); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); INT(n); WGraph g(n); vector> edges; rep(i, n - 1) { INT(u, v, w); u--, v--; g[u].emplace_back(v, w); g[v].emplace_back(u, w); } vector sz(n); vector order(n); int ord = 0; auto dfs = [&](auto &&dfs, int v, int p) -> int { if(sz[v] != 0) return sz[v]; int ret = 1; order[v] = ord++; for(auto c : g[v]) { if(c.to == p) continue; ret += dfs(dfs, c.to, v); } return sz[v] = ret; }; dfs(dfs, 0, -1); ll res = 0; for(int i = 0; i < n; i++) { for(auto e : g[i]) { int v = i, c = e.to; if(order[v] > order[c]) swap(v, c); res += e.cost * sz[c] * (n - sz[c]); } } cout << res << endl; }