#pragma GCC optimize ("Ofast") #include using namespace std; void *wmem; template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16]={0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } inline void rd(int &x){ int k, m=0; x=0; for(;;){ k = getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void wt_L(char a){ putchar_unlocked(a); } inline void wt_L(long long x){ char f[20]; int m=0, s=0; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ putchar_unlocked('-'); } while(s--){ putchar_unlocked(f[s]+'0'); } } struct graph{ int N, **edge, *es; void setEdge(int N__, int M, int A[], int B[], void **mem = &wmem){ int i; N = N__; walloc1d(&es, N, mem); walloc1d(&edge, N, mem); for(i=0;i<(N);i++){ es[i] = 0; } for(i=0;i<(M);i++){ es[A[i]]++; es[B[i]]++; } for(i=0;i<(N);i++){ walloc1d(&edge[i], es[i], mem); } for(i=0;i<(N);i++){ es[i] = 0; } for(i=0;i<(M);i++){ edge[A[i]][es[A[i]]++] = B[i]; edge[B[i]][es[B[i]]++] = A[i]; } } } ; template struct wgraph{ T **cost; graph g; int N, **edge, *es; void setEdge(int N__, int M, int A[], int B[], T C[], void **mem = &wmem){ int i; N = N__; walloc1d(&es, N, mem); for(i=0;i<(N);i++){ es[i] = 0; } for(i=0;i<(M);i++){ es[A[i]]++; es[B[i]]++; } walloc1d(&edge, N, mem); for(i=0;i<(N);i++){ walloc1d(&edge[i], es[i], mem); } walloc1d(&cost, N, mem); for(i=0;i<(N);i++){ walloc1d(&cost[i], es[i], mem); } for(i=0;i<(N);i++){ es[i] = 0; } for(i=0;i<(M);i++){ edge[A[i]][es[A[i]]] = B[i]; edge[B[i]][es[B[i]]] = A[i]; cost[A[i]][es[A[i]]++] = C[i]; cost[B[i]][es[B[i]]++] = C[i]; } g.N = N; g.es = es; g.edge = edge; } } ; char memarr[96000000]; int N; int A[200000]; int B[200000]; int C[200000]; wgraph g; int cnt[200000]; long long res; int dfs(int n, int b){ int i, k, r=1, tmp; for(i=0;i<(g.es[n]);i++){ k = g.edge[n][i]; if(k==b){ continue; } r += (tmp = dfs(k, n)); res += (long long)2 * tmp * (N-tmp) * g.cost[n][i]; } return r; } int main(){ wmem = memarr; rd(N); { int Lj4PdHRW; for(Lj4PdHRW=0;Lj4PdHRW<(N-1);Lj4PdHRW++){ rd(A[Lj4PdHRW]);A[Lj4PdHRW] += (-1); rd(B[Lj4PdHRW]);B[Lj4PdHRW] += (-1); rd(C[Lj4PdHRW]); } } g.setEdge(N,N-1,A,B,C); dfs(0, -1); wt_L(res); wt_L('\n'); return 0; } // cLay varsion 20190830-1 // --- original code --- // int N, A[2d5], B[2d5], C[2d5]; // wgraph g; // // int cnt[2d5]; // ll res; // // int dfs(int n, int b){ // int i, k; // int r = 1, tmp; // // rep(i,g.es[n]){ // k = g.edge[n][i]; // if(k==b) continue; // r += (tmp = dfs(k, n)); // res += (ll)2 * tmp * (N-tmp) * g.cost[n][i]; // } // // return r; // } // // { // rd(N,(A--,B--,C)(N-1)); // g.setEdge(N,N-1,A,B,C); // dfs(0, -1); // wt(res); // }