#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include 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; } const long long INF = 1LL << 60; const long long MOD = 1000000007LL; const long long MAX = 500000LL; using namespace std; typedef unsigned long long ull; typedef long long ll; ll N; vector>> g1; vector g2; vector d; ll dfs(ll x, ll pre, ll cur) { ll res = 0; d[x] = cur; for (pair xx : g1[x]) { if (xx.first == pre) continue; res += dfs(xx.first, x, cur + 1) + 1; } return g2[x] = res; } int main() { cin >> N; g1.resize(N); g2 = vector(N, 0); d.resize(N); vector> vt(N - 1); for (ll i = 0; i < N - 1; i++) { ll u, v, w; cin >> u >> v >> w; u--; v--; vt[i] = make_tuple(u, v, w); g1[u].push_back(make_pair(v, w)); g1[v].push_back(make_pair(u, w)); } dfs(0, -1, 0); ll res = 0; for (ll i = 0; i < N - 1; i++) { ll u, v, w; tie(u, v, w) = vt[i]; if (d[u] > d[v]) { swap(u, v); } ll l = N - g2[v] - 1; ll r = g2[v] + 1; res += w * l * r * 2; } cout << res << endl; return 0; }