#include "bits/stdc++.h" using namespace std; #define int long long #define FOR(i, a, b) for(int i=(a);i<(b);i++) #define RFOR(i, a, b) for(int i=(b-1);i>=(a);i--) #define REP(i, n) for(int i=0; i<(n); i++) #define RREP(i, n) for(int i=(n-1); i>=0; i--) #define REP1(i, n) for(int i=1; i<=(n); i++) #define RREP1(i, n) for(int i=(n); i>=1; i--) #define ALL(a) (a).begin(),(a).end() #define UNIQUE_SORT(l) sort(ALL(l)); l.erase(unique(ALL(l)), l.end()); #define CONTAIN(a, b) find(ALL(a), (b)) != (a).end() #define out(...) printf(__VA_ARGS__) int dxy[] = {0, 1, 0, -1, 0}; void solve(); signed main() { #if DEBUG std::ifstream in("input.txt"); std::cin.rdbuf(in.rdbuf()); #endif cin.tie(0); ios::sync_with_stdio(false); solve(); return 0; } /*================================*/ #if DEBUG #define SIZE 100 #else #define SIZE 223450 #endif int N; struct Edge { int src, to, w; Edge(int u, int v, int w): src(u), to(v), w(w) {}; }; vector< vector > E(SIZE); vector F; int W[SIZE]; void add_edge(int u, int v, int w) { E[u].push_back(*new Edge(u,v,w)); E[v].push_back(*new Edge(v,u,w)); } int dfs(int parent=-1, int i=0, int weight=0, int depth=0) { int ret = 1; for (auto e : E[i]) { if (e.to == parent) continue; ret += dfs(i, e.to, weight + e.w, depth+1); } return W[i] = ret; } /**********************************************************/ void solve() { cin>>N; int u,v,w; REP(i,N-1) { cin>>u>>v>>w; u--, v--; add_edge(u, v, w); F.push_back(*new Edge(u,v,w)); } int total = dfs(); int ans = 0; for (auto e:F) { int size = min(W[e.src], W[e.to]); ans += (total-size)*size*e.w*2; } cout << ans << endl; }