#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = (ll)1000000007 * 1000000007; typedef pair P; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=sta;i--) #define rep1(i,n) for(int i=1;i<=n;i++) #define per1(i,n) for(int i=n;i>=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef long double ld; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair LP; int dx[4]={1,-1,0,0}; int dy[4]={0,0,1,-1}; templatebool chmax(T &a, const T &b) {if(abool chmin(T &a, const T &b) {if(b struct ModInt { long long x; static constexpr int MOD = mod; ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} explicit operator int() const {return x;} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } ModInt operator%(const ModInt &p) const { return ModInt(0); } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const{ int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } ModInt power(long long n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } ModInt power(const ModInt p) const{ return ((ModInt)x).power(p.x); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { long long x; is >> x; a = ModInt(x); return (is); } }; using modint = ModInt; struct edge{ int to;modint l; edge(){} edge(int to,modint l):to(to),l(l){} }; int n; vector G[200010]; modint Z[200010],Z_sum[200010],Z_all=0;int sub[200010]; modint ans=0; void dfs1(int s,int par,modint l){ sub[s]=1; for(edge e:G[s]){ if(e.to==par) continue; dfs1(e.to,s,e.l); sub[s]+=sub[e.to]; Z_sum[s]+=Z_sum[e.to]+Z[e.to]; } Z[s]=l*sub[s]; } void dfs2(int s,int par,modint l,modint Z_par){ for(edge e:G[s]){ if(e.to==par) continue; dfs2(e.to,s,e.l,Z_par+l*(n-sub[s])+Z_sum[s]-Z_sum[e.to]-Z[e.to]); } if(par!=-1){ ans+=l*l*sub[s]*(n-sub[s]); ans+=l*Z_sum[s]*(n-sub[s]); ans+=l*Z_par*sub[s]; } //cout << s << " " << l << " " << Z_par << " " << Z_sum[s] << " " << ans << endl; } void solve(){ cin >> n; rep(i,n-1){ int a,b;modint l;cin >> a >> b >> l;a--;b--; G[a].push_back({b,l}); G[b].push_back({a,l}); } dfs1(0,-1,0); // rep(i,n){ // cout << i << " " << sub[i] << " " << Z[i] << " " << Z_sum[i] << endl; // } dfs2(0,-1,0,0); cout << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(50); solve(); }