#include #include #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 vector vi; typedef pair pii; #define MP make_pair #define PB push_back #define inf 1000000007 #define rep(i,n) for(int i = 0; i < (int)(n); ++i) #define all(x) (x).begin(),(x).end() template void Fill(A (&array)[N], const T &val){ std::fill( (T*)array, (T*)(array+N), val ); } template inline bool chmax(T &a, T b){ if(a inline bool chmin(T &a, T b){ if(a>b){ a = b; return true; } return false; } template class ModInt { private: unsigned int v; static unsigned int norm(const unsigned int& x){ return x < mod ? x : x - mod; } static ModInt make(const unsigned int& x){ ModInt m; return m.v = x, m; } static ModInt inv(const ModInt& x){ return make(inverse(x.v, mod)); } static unsigned int inverse(int a, int m){ int u[] = {a, 1, 0}, v[] = {m, 0, 1}, t; while(*v){ t = *u / *v; swap(u[0] -= t * v[0], v[0]), swap(u[1] -= t * v[1], v[1]), swap(u[2] -= t * v[2], v[2]); } return (u[1] % m + m) % m; } public: ModInt() : v{0}{} ModInt(const long long val) : v{norm(val % mod + mod)} {} ModInt(const ModInt& n) : v{n()} {} explicit operator bool() const noexcept { return v != 0; } bool operator!() const noexcept { return !static_cast(*this); } ModInt& operator=(const ModInt& n){ return v = n(), (*this); } ModInt& operator=(const long long val){ return v = norm(val % mod + mod), (*this); } ModInt operator+() const { return *this; } ModInt operator-() const { return v == 0 ? make(0) : make(mod - v); } ModInt operator+(const ModInt& val) const { return make(norm(v + val())); } ModInt operator-(const ModInt& val) const { return make(norm(v + mod - val())); } ModInt operator*(const ModInt& val) const { return make((long long)v * val() % mod); } ModInt operator/(const ModInt& val) const { return *this * inv(val); } ModInt& operator+=(const ModInt& val){ return *this = *this + val; } ModInt& operator-=(const ModInt& val){ return *this = *this - val; } ModInt& operator*=(const ModInt& val){ return *this = *this * val; } ModInt& operator/=(const ModInt& val){ return *this = *this / val; } ModInt operator+(const long long val) const { return ModInt{v + val}; } ModInt operator-(const long long val) const { return ModInt{v - val}; } ModInt operator*(const long long val) const { return ModInt{(long long)v * (val % mod)}; } ModInt operator/(const long long val) const { return ModInt{(long long)v * inv(val)}; } ModInt& operator+=(const long long val){ return *this = *this + val; } ModInt& operator-=(const long long val){ return *this = *this - val; } ModInt& operator*=(const long long val){ return *this = *this * val; } ModInt& operator/=(const long long val){ return *this = *this / val; } bool operator==(const ModInt& val) const { return v == val.v; } bool operator!=(const ModInt& val) const { return !(*this == val); } bool operator==(const long long val) const { return v == norm(val % mod + mod); } bool operator!=(const long long val) const { return !(*this == val); } unsigned int operator()() const { return v; } friend ModInt operator+(const long long val, const ModInt& n) { return n + val; } friend ModInt operator-(const long long val, const ModInt& n) { return ModInt{val - n()}; } friend ModInt operator*(const long long val, const ModInt& n) { return n * val; } friend ModInt operator/(const long long val, const ModInt& n) { return ModInt{val} / n; } friend bool operator==(const long long val, const ModInt& n) { return n == val; } friend bool operator!=(const long long val, const ModInt& n) { return !(val == n); } friend istream& operator>>(istream& is, ModInt& n){ unsigned int v; return is >> v, n = v, is; } friend ostream& operator<<(ostream& os, const ModInt& n){ return (os << n()); } friend ModInt mod_pow(ModInt x, long long n){ ModInt ans = 1; while(n){ if(n & 1) ans *= x; x *= x, n >>= 1; } return ans; } }; #define MOD 1000000007 using mod = ModInt; #define MAX_N 200000 mod inv[MAX_N],fac[MAX_N],finv[MAX_N]; void make() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for(int i=2;i > > g; vector d2,d,cnt,res; void dfs(int id,int pre){ for(auto x:g[id]){ if(x.first!=pre){ dfs(x.first,id); } } for(auto x:g[id]){ if(x.first==pre)continue; mod P = x.second; int nxt = x.first; res[id] += d[id] * (d[nxt]+P*cnt[nxt]) * 2; res[id] += d2[id]*cnt[nxt] + cnt[id]*d2[nxt]; d2[id] += P*2*d[nxt]; d2[id] += cnt[nxt]*P*P; d2[id] += d2[nxt]; d[id] += d[nxt] + cnt[nxt]*P; cnt[id] += cnt[nxt]; } res[id] += d2[id]; cnt[id]+=1; } int main(){ int n; cin >> n; g.resize(n); d.resize(n); d2.resize(n); cnt.resize(n); res.resize(n); rep(i,n-1){ int a,b,c; cin >> a >> b >> c; a--;b--; g[a].push_back(MP(b,c)); g[b].push_back(MP(a,c)); } dfs(0,-1); mod ans = 0; rep(i,n){ ans += res[i]; // cerr << i << ": " << d[i] << " " << d2[i] << " " << cnt[i] << " " << res[i] << endl; } cout << ans << endl; return 0; }