#include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; const ll MOD = 1000000007; class ModInt{ public: ll v; ModInt(ll _v = 0){ if(_v >= MOD) _v %= MOD; v = _v; } ModInt operator+(ll n){ return ModInt((v+n)%MOD); } ModInt operator-(ll n){ return ModInt((v-n+MOD)%MOD); } ModInt operator*(ll n){ if(n >= MOD) n %= MOD; return ModInt((v*n)%MOD); } ModInt operator/(ll n){ return ModInt((ModInt(n).inv()*v).v%MOD); } void operator+=(ll n){ v = (v+n)%MOD; } void operator-=(ll n){ v = (v-n+MOD)%MOD; } void operator*=(ll n){ v = (v*n)%MOD; } ModInt operator+(ModInt n){ return ModInt((v+n.v)%MOD); } ModInt operator-(ModInt n){ return ModInt((v-n.v+MOD)%MOD); } ModInt operator*(ModInt n){ return ModInt((v*n.v)%MOD); } ModInt operator/(ModInt n){ return ModInt((n.inv()*v).v%MOD); } void operator+=(ModInt n){ v = (v+n.v)%MOD; } void operator-=(ModInt n){ v = (v-n.v+MOD)%MOD; } void operator*=(ModInt n){ v = (v*n.v)%MOD; } void operator=(ModInt n){ v = n.v; } void operator=(ll n){ v = n; } ModInt inv(){ if(v == 1) return ModInt(1); else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD); } }; ostream& operator<<(ostream& os, const ModInt& m){ os << m.v; return os; } istream & operator >> (istream &in, ModInt &m){ in >> m.v; return in; } ModInt dp_sum[200000]; ModInt dp_square[200000]; ModInt cnt_ch[200000]; struct edge{ int to; ModInt cost; }; int n; vector G[200000]; ModInt ans; bool used[200000]; void dfs(int v){ used[v] = true; vector visited; for(auto e : G[v]){ if(!used[e.to]){ visited.push_back(e); dfs(e.to); cnt_ch[v] += cnt_ch[e.to]; dp_square[v] += dp_square[e.to]+dp_sum[e.to]*e.cost*2+e.cost*e.cost*cnt_ch[e.to]; dp_sum[v] += dp_sum[e.to]+e.cost*cnt_ch[e.to]; } } for(edge e : visited){ ModInt x = dp_square[e.to]+dp_sum[e.to]*e.cost*2+e.cost*e.cost*cnt_ch[e.to]; ans += x*(cnt_ch[v]-cnt_ch[e.to]); x = dp_sum[e.to]+e.cost*cnt_ch[e.to]; ans += x*(dp_sum[v]-x); } ans += dp_square[v]; cnt_ch[v]+=1; // cout << v << ' ' << dp_sum[v] << ' ' << dp_square[v] << ' ' << ans << ' ' << cnt_ch[v] << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; cin >> n; for(int i = 0; i < n-1; i++){ int u, v; ModInt w; cin >> u >> v >> w; u--; v--; G[u].push_back((edge){v, w}); G[v].push_back((edge){u, w}); } dfs(0); cout << ans << endl; }