#include using namespace std; typedef long long ll; #define P pair #define FOR(I,A,B) for(ll I = ll(A); I < ll(B); ++I) #define FORR(I,A,B) for(ll I = ll((B)-1); I >= ll(A); --I) #define TO(x,t,f) ((x)?(t):(f)) #define SORT(x) (sort(x.begin(),x.end())) // 0 2 2 3 4 5 8 9 #define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin()) //xi>=v x is sorted #define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin()) //xi>v x is sorted #define NUM(x,v) (POSU(x,v)-POSL(x,v)) //x is sorted #define REV(x) (reverse(x.begin(),x.end())) //reverse ll gcd(ll a,ll b){if(a%b==0)return b;return gcd(b,a%b);} ll lcm(ll a,ll b){ll c=gcd(a,b);return ((a/c)*(b/c)*c);} #define NEXTP(x) next_permutation(x.begin(),x.end()) const ll INF=ll(1e18)+ll(7); const ll MOD=1000000007LL; #define out(a) cout< tree[200003]; ll ans = 0; ll N; ll root = 1; ll pa[200009]={}; ll numch[200009]={}; bool did[200009]; vector U,V,W; void dfs(int i = 1){ did[i] = true; for(auto ch:tree[i]){ if(did[ch])continue; pa[ch] = i; dfs(ch); } } int main(){ cin >> N; FOR(i,0,N-1){ ll u,v,w; cin >> u >> v >> w; tree[u].push_back(v); tree[v].push_back(u); U.push_back(u); V.push_back(v); W.push_back(w); } dfs(); FOR(i,1,N+1) did[i] = false; vector dodo; queue q; q.push(1); did[1] = true; while(q.size()){ ll ind = q.front(); q.pop(); dodo.push_back(ind); for(auto nex:tree[ind]){ if(not did[nex]){ did[nex] = true; q.push(nex); } } } reverse(dodo.begin(), dodo.end()); //cout << dodo.size() << endl; ll cnt[N+1] = {}; FOR(i,0,N+1)cnt[i]=1; for(auto x:dodo){ cnt[pa[x]]+=cnt[x]; } FOR(i,0,N-1){ ll chai; if(pa[U[i]]==V[i]){ chai = U[i]; }else{ chai = V[i]; } ans += W[i] * cnt[chai] * (N-cnt[chai]); } cout << ans*2 << endl; }