#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; /*-------------------------------------------------*/ using CostType = long long; struct Edge { int src, dst; CostType cost; Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {} inline bool operator<(const Edge &rhs) const { return cost != rhs.cost ? cost < rhs.cost : dst != rhs.dst ? dst < rhs.dst : src < rhs.src; } inline bool operator<=(const Edge &rhs) const { return cost <= rhs.cost; } inline bool operator>(const Edge &rhs) const { return cost != rhs.cost ? cost > rhs.cost : dst != rhs.dst ? dst > rhs.dst : src > rhs.src; } inline bool operator>=(const Edge &rhs) const { return cost >= rhs.cost; } }; int n; vector graph[200000]; long long ans = 0; int dfs(int par, int ver) { int res = 1; for (Edge e : graph[ver]) if (e.dst != par) { int child = dfs(ver, e.dst); res += child; ans += e.cost * child * (n - child); // cout << e.cost << ' ' << child << '\n'; } return res; } int main() { cin.tie(0); ios::sync_with_stdio(false); // freopen("input.txt", "r", stdin); cin >> n; REP(_, n - 1) { int u, v, w; cin >> u >> v >> w; --u; --v; graph[u].emplace_back(Edge(u, v, w)); graph[v].emplace_back(Edge(v, u, w)); } dfs(-1, 0); cout << ans * 2 << '\n'; return 0; }