#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include // cout, endl, cin #include // string, to_string, stoi #include // vector #include // min, max, swap, sort, reverse, lower_bound, upper_bound #include // pair, make_pair #include // tuple, make_tuple #include // int64_t, int*_t #include // printf #include // map #include // queue, priority_queue #include // set #include // stack #include // deque #include // unordered_map #include // unordered_set #include // bitset #include // isupper, islower, isdigit, toupper, tolower #include #include #include using namespace std; using namespace atcoder; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++) typedef long long ll; typedef unsigned long long ull; const ll inf=1e18; using graph = vector > ; using P= pair; using vi=vector; using vvi=vector; using vll=vector; using vvll=vector; using vp=vector

; using vpp=vector; using vd=vector; using vvd =vector; //string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; //string S="abcdefghijklmnopqrstuvwxyz"; //g++ main.cpp -std=c++17 -I . //cout < bool chmin(T& a, T b) { if (a > b) { a = b; return true; } else return false; } template bool chmax(T& a, T b) { if (a < b) { a = b; return true; } else return false; } // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division ll mod =1e9+7; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, const mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { //assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } mint p(int n, int k) { return fact[n]*ifact[n-k]; } } c(5000000); using vm=vector ; using vvm=vector ; ll sqrt_(ll x) { ll l = 0, r = ll(3e9)+1; while (l+1=0 && y>=0 && x struct Matrix { int h, w; vector > d; Matrix() {} Matrix(int h, int w, T val=0): h(h), w(w), d(h, vector(w,val)) {} Matrix& unit() { //assert(h == w); rep(i,h) d[i][i] = 1; return *this; } const vector& operator[](int i) const { return d[i];} vector& operator[](int i) { return d[i];} Matrix operator*(const Matrix& a) const { //assert(w == a.h); Matrix r(h, a.w); rep(i,h)rep(k,w)rep(j,a.w) { r[i][j] += d[i][k]*a[k][j]; } return r; } Matrix pow(ll t) const { // assert(h == w); if (!t) return Matrix(h,h).unit(); if (t == 1) return *this; Matrix r = pow(t>>1); r = r*r; if (t&1) r = r*(*this); return r; } }; using ve=vector; using vve=vector; vve g; vm dp; mint ans=0,ans2=0,ans3=0; vm kodomo; int n; // x*x int dfs(int v,int p=-1){ int tot=1; mint tot2=0; for(auto u:g[v]){ if(u.to==p)continue; int num=dfs(u.to,v); dp[u.to]+=u.cost*num; mint now=u.cost;now*=u.cost;now*=num;now*=(n-num); ans+=now; dp[v]+=dp[u.to]; ans2+=tot2*dp[u.to]; tot2+=dp[u.to]; tot+=num; } kodomo[v]=tot; return tot; } mint now=0; void dfs2(int v,int p=-1){ for(auto u:g[v]){ if(u.to==p)continue; ans3+=now*kodomo[u.to]*u.cost; now+=u.cost*(n-kodomo[u.to].x); dfs2(u.to,v); now-=u.cost*(n-kodomo[u.to].x); } } void solve(){ cin >> n; g.resize(n); dp.resize(n); kodomo.resize(n); rep(i,n-1){ int u,v,w; cin >> u >> v >> w; u--;v--; g[u].push_back(edge(v,w)); g[v].push_back(edge(u,w)); } dfs(0); dfs2(0); ans+=ans2*2;ans+=ans3*2; cout << ans << endl; } //g++ main.cpp -std=c++17 -I . int main(){cin.tie(0);ios::sync_with_stdio(false); solve(); }