#include #include #include #include #define REP(i, n) for (int i = 0; i < (n); i++) using namespace std; const int MOD = 1e9 + 7; struct mint { int n; mint(int n_ = 0) : n(n_) {} }; mint operator+(mint a, mint b) { a.n += b.n; if (a.n >= MOD) a.n -= MOD; return a; } mint operator-(mint a, mint b) { a.n -= b.n; if (a.n < 0) a.n += MOD; return a; } mint operator*(mint a, mint b) { return (long long)a.n * b.n % MOD; } mint &operator+=(mint &a, mint b) { return a = a + b; } mint &operator-=(mint &a, mint b) { return a = a - b; } mint &operator*=(mint &a, mint b) { return a = a * b; } mint F[200001] = {1, 1}; mint R[200001] = {1, 1}; mint I[200001] = {0, 1}; mint C(int n, int r) { if (n < 0 || r < 0 || n < r) return 0; return F[n] * R[n - r] * R[r]; } void init() { for (int i = 2; i <= 200000; i++) { I[i] = I[MOD % i] * (MOD - MOD / i); F[i] = F[i - 1] * i; R[i] = R[i - 1] * I[i]; } } int N; vector G[200000]; mint ans; void dfs(int u, int p, int d) { ans += F[N] * I[d + 1]; for (int v : G[u]) if (v != p) { dfs(v, u, d + 1); } } int main() { init(); cin >> N; REP(i, N-1) { int u, v; cin >> u >> v; u--; v--; G[u].push_back(v); G[v].push_back(u); } dfs(0, -1, 0); cout << ans.n << '\n'; }