#pragma GCC optimize("Ofast") //#pragma GCC target ("sse4") #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; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #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=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acosl(-1.0); ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 17; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } using mP = pair; const int mn = 1 << 18; struct edge { int to; ll cost; }; using Data = array; vector G[mn]; vector ids[mn]; vector memo[mn]; vector costs[mn]; int root; Data merge(Data a, Data b) { Data res; // res[0] = a[0] + b[0]; res[1] = a[1] + b[1]; res[2] = a[2] + b[2]; // return res; } Data dfs(int id, int fr) { Data res; // //initialize res = {1, 0,0 }; // for (edge e : G[id]) { if (e.to == fr)continue; Data nex = dfs(e.to, id); // //update with edge nex[2]+= nex[0]*(modint)(e.cost*e.cost) + (modint)(2*e.cost)* nex[1]; nex[1] += (modint)e.cost * nex[0]; // res = merge(res, nex); ids[id].push_back(e.to); memo[id].push_back(nex); costs[id].push_back(e.cost); } // //update for return // return res; } modint ans = 0; void invdfs(int id, int fr, Data pre) { vector v; for (Data d : memo[id])v.push_back(d); if (fr >= 0)v.push_back(pre); int len = v.size(); // //calcurate id's ans Data ex = { 0,0,0 }; for (Data d : v)ex = merge(ex, d); ans += ex[2]; //cout << id << " " << ex[0]<<" "< le(len + 1); vector ri(len + 1); // Data init_c = { 0,0,0 }; // le[0] = init_c; rep(i, len) { le[i + 1] = merge(le[i], v[i]); } ri[len] = init_c; per(i, len) { ri[i] = merge(ri[i + 1], v[i]); } rep(i, ids[id].size()) { int to = ids[id][i]; Data d = merge(le[i], ri[i + 1]); // //update for return d[0] += 1; d[2] += (modint)(costs[id][i]*costs[id][i])*d[0]+(modint)(2*costs[id][i]) * d[1]; d[1] += (modint)costs[id][i]*d[0]; // invdfs(to, id, d); } } void yaru() { dfs(root, -1); invdfs(root, -1, { 0,0 }); } void solve() { int n; cin >> n; rep(i, n - 1) { int a, b, c; cin >> a >> b >> c; a--; b--; G[a].push_back({ b,c }); G[b].push_back({ a,c }); } yaru(); ans = ans / (modint)2; cout << ans << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(15); //init_f(); //init(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }