#include using namespace std; #define int long long #define ii pair #define app push_back #define all(a) a.begin(), a.end() #define bp __builtin_popcountll #define ll long long #define mp make_pair #define x first #define y second #define Time (double)clock()/CLOCKS_PER_SEC #define debug(x) std::cout << #x << ": " << x << '\n'; #define FOR(i, n) for (int i = 0; i < n; ++i) #define pb push_back #define trav(a, x) for (auto& a : x) using vi = vector; template std::ostream& operator <<(std::ostream& output, const pair & data) { output << "(" << data.x << "," << data.y << ")"; return output; } template std::ostream& operator <<(std::ostream& output, const std::vector& data) { for (const T& x : data) output << x << " "; return output; } //ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up //ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down #define tcT template using V = vector; tcT> void re(V& x) { trav(a, x) cin >> a; } tcT> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } // set a = min(a,b) tcT> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } //need define int long long namespace Stuff { const int MOD = 1e9+7; int mod(int n) { n %= MOD; if (n < 0) return n + MOD; else return n; } int fp(int a, int p) { int ans = 1, c = a; for (int i = 0; (1ll << i) <= p; ++i) { if ((p >> i) & 1) ans = mod(ans * c); c = mod(c * c); } return ans; } int dv(int a, int b) { return mod(a * fp(b, MOD - 2)); } }; struct M { ll x; M (int x_) { x = Stuff::mod(x_); } M () { x = 0; } M operator + (M y) { int ans = x + y.x; if (ans >= Stuff::MOD) ans -= Stuff::MOD; return M(ans); } M operator - (M y) { int ans = x - y.x; if (ans < 0) ans += Stuff::MOD; return M(ans); } M operator * (M y) { return M(x * y.x % Stuff::MOD); } M operator / (M y) { return M(x * Stuff::fp(y.x, Stuff::MOD - 2) % Stuff::MOD); } M operator + (int y) { return (*this) + M(y); } M operator - (int y) { return (*this) - M(y); } M operator * (int y) { return (*this) * M(y); } M operator / (int y) { return (*this) / M(y); } M operator ^ (int p) { return M(Stuff::fp(x, p)); } void operator += (M y) { *this = *this + y; } void operator -= (M y) { *this = *this - y; } void operator *= (M y) { *this = *this * y; } void operator /= (M y) { *this = *this / y; } void operator += (int y) { *this = *this + y; } void operator -= (int y) { *this = *this - y; } void operator *= (int y) { *this = *this * y; } void operator /= (int y) { *this = *this / y; } void operator ^= (int p) { *this = *this ^ p; } bool operator == (M y) { return x == y.x; } }; std::ostream& operator << (std::ostream& o, const M& a) { cout << a.x; return o; } const int N = 2e5+7; int n; V g[N]; M sub[N], sum[N], cnt[N]; void dfs1(int u, int p) { cnt[u] = 1; trav (e, g[u]) { int v = e.x, c = e.y; M w = c; if (v != p) { dfs1(v, u); cnt[u] += cnt[v]; sum[u] += sum[v]; sum[u] += w * cnt[v]; sub[u] += sub[v]; sub[u] += w * 2 * sum[v]; sub[u] += w * w * cnt[v]; } } } M ans = 0; M dist[N]; M res[N]; void dfs2(int u, int p) { //debug(u); //debug(res[u]); ans += res[u]; trav (e, g[u]) { int v = e.x, c = e.y; M w = c; if (v != p) { M down = sum[v] + w * cnt[v]; M up = dist[u] - down; res[v] = res[u] + (w^2) * n + (w * 2) * (up - down); dist[v] = dist[u] - cnt[v] * w + (M(n) - cnt[v]) * w; dfs2(v, u); } } } signed main() { #ifdef HOME freopen("input.txt", "r", stdin); #else #define endl '\n' ios_base::sync_with_stdio(0); cin.tie(0); #endif cin >> n; FOR (i, n - 1) { int u,v,w; cin >> u >> v >> w; g[u].app(mp(v, w)); g[v].app(mp(u, w)); } dfs1(1, 1); res[1] = sub[1]; dist[1] = sum[1]; dfs2(1, 1); cout << ans/2 << endl; }