#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define rep(i, n) for(int(i) = 0; (i) < (n); (i)++) #define FOR(i, m, n) for(int(i) = (m); (i) < (n); (i)++) #define All(v) (v).begin(), (v).end() #define pb push_back #define MP(a, b) make_pair((a), (b)) using ll = long long; using pii = pair; using pll = pair; const int INF = 1 << 30; const ll LINF = 1LL << 60; const int MOD = 1e9 + 7; using Tree = vector>; ll dfs(int v, int p, int d, const Tree &G, vector &childs, vector &depth) { ll num = 1; depth[v] = d; if(G[v].size() == 0) { return childs[v] = 1; } for(auto nv : G[v]) { if(nv == p) continue; num += dfs(nv, v, d + 1, G, childs, depth); } return childs[v] = num; } template class ModInt { using u64 = uint_fast64_t; public: u64 val; ModInt(const u64 x = 0) : val(x % MOD) {} constexpr u64 &value() { return val; } constexpr ModInt operator-() { return val ? MOD - val : 0; } constexpr ModInt operator+(const ModInt &rhs) const { return ModInt(*this) += rhs; } constexpr ModInt operator-(const ModInt &rhs) const { return ModInt(*this) -= rhs; } constexpr ModInt operator*(const ModInt &rhs) const { return ModInt(*this) *= rhs; } constexpr ModInt operator/(const ModInt &rhs) const { return ModInt(*this) /= rhs; } constexpr ModInt &operator+=(const ModInt &rhs) { val += rhs.val; if(val >= MOD) { val -= MOD; } return *this; } constexpr ModInt &operator-=(const ModInt &rhs) { if(val < rhs.val) { val += MOD; } val -= rhs.val; return *this; } constexpr ModInt &operator*=(const ModInt &rhs) { val = val * rhs.val % MOD; return *this; } constexpr ModInt &operator/=(const ModInt &rhs) { *this *= rhs.inv(); return *this; } constexpr bool operator==(const ModInt &rhs) { return this->a == rhs.a; } constexpr bool operator!=(const ModInt &rhs) { return this->a != rhs.a; } friend constexpr ostream &operator<<(ostream &os, const ModInt &x) { return os << x.val; } friend constexpr istream &operator>>(istream &is, ModInt &x) { return is >> x.val; } constexpr ModInt inv() const { return ModInt(*this).pow(MOD - 2); } constexpr ModInt pow(ll e) const { u64 x = 1, p = val; while(e > 0) { if(e % 2 == 0) { p = (p * p) % MOD; e /= 2; } else { x = (x * p) % MOD; e--; } } return ModInt(x); } }; int main() { int N; cin >> N; vector edges(N - 1); Tree G(N); vector is_root(N, true); rep(i, N - 1) { int a, b; cin >> a >> b; a--, b--; edges[i] = MP(a, b); G[a].pb(b); is_root[b] = false; } int root = 0; rep(i, N) { if(is_root[i]) { root = i; break; } } vector childs(N), depth(N); dfs(root, -1, 1, G, childs, depth); using mint = ModInt; mint res = 0; rep(i, N - 1) { ll m = childs[edges[i].second]; res += mint(m * (depth[edges[i].first])); } cout << res << endl; return 0; }