#include #include using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct Edge { int to; mint cost; Edge(int _to, mint _cost) :to(_to), cost(_cost) {} }; struct Data { mint sump; mint sum; mint count; Data() :sump(0), sum(0), count(0) {} Data(mint _sump, mint _sum, mint _count) :sump(_sump), sum(_sum), count(_count) {} }; vectorg[200005]; vectordp(200005); vectordpR(200005); void dfs(int v, int p = -1) { Data val = { 0,0,0 }; for (auto e : g[v]) { if (p == e.to)continue; dfs(e.to, v); val.sump += dp[e.to].sump + dp[e.to].sum * e.cost * 2 + e.cost * e.cost * (dp[e.to].count + 1); val.sum += dp[e.to].sum + e.cost * (dp[e.to].count + 1); val.count += dp[e.to].count + 1; } dp[v] = val; } void dfsR(int v, int p = -1, mint cost = 0) { dpR[v] = dp[v]; if (-1 != p) { Data sub = dpR[p]; sub.sump -= dp[v].sump + dp[v].sum * cost * 2 + cost * cost * (dp[v].count + 1); sub.sum -= dp[v].sum + cost * (dp[v].count + 1); sub.count -= dp[v].count + 1; dpR[v].sump += sub.sump + sub.sum * cost * 2 + cost * cost * (sub.count + 1); dpR[v].sum += sub.sum + cost * (sub.count + 1); dpR[v].count += sub.count + 1; } for (auto e : g[v]) { if (p == e.to)continue; dfsR(e.to, v, e.cost); } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); 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 }); } dfs(0); //rep(i, n)cout << dp[i].sump.val() << " " << dp[i].sum.val() << " " << dp[i].count.val() << endl; dfsR(0); //rep(i, n)cout << dpR[i].sump.val() << " " << dpR[i].sum.val() << " " << dpR[i].count.val() << endl; mint ans = 0; rep(i, n)ans += dpR[i].sump; ans *= inv_mod(2, mod); cout << ans.val() << endl; return 0; }