// #define DEBUGGING #include using namespace std; #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = vector; template using VV = V>; using ll = int64_t; using ull = uint64_t; using PLL = pair; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(30); } } init_io; } #ifdef DEBUGGING // #include "../debug/debug.cpp" #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { #define rec make_v(init, tail...) return V(s, rec); #undef rec } VV edges(2e5 + 10); ll N, ans; ll dfs(ll cur, ll pre = -1) { ll ret = 1; for(auto &&edge : edges[cur]) { ll nxt, cost; tie(nxt, cost) = edge; if(nxt == pre) continue; ll res = dfs(nxt, cur); ans += 2 * res * (N - res) * cost; ret += res; } return ret; } int main() { cin >> N; for(ll i = 1; i < N; i++) { ll x, y, w; cin >> x >> y >> w; x--; y--; edges[x].emplace_back(y, w); edges[y].emplace_back(x, w); } dfs(0); cout << ans << endl; return 0; }