#include using namespace std; #define rep(i,n) for(int i = 0;i<((int)(n));i++) #define reg(i,a,b) for(int i = ((int)(a));i<=((int)(b));i++) #define irep(i,n) for(int i = ((int)(n)-1);i>=0;i--) #define ireg(i,a,b) for(int i = ((int)(b));i>=((int)(a));i--) typedef long long ll; /* 根は1 直接求めるのは無理なので、期待値に変換する 数aが神童である確率は、上に来るd個がすべて自分より小さい場合 */ template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } ModInt(signed long long sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { signed a = x, b = MOD, u = 1, v = 0; while (b) { signed t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } if (u < 0) u += Mod; ModInt res; res.x = (unsigned)u; return res; } }; typedef ModInt<1000000007> mint; vector fact, factinv; void nCr_computeFactinv(int N) { N = min(N, mint::Mod - 1); fact.resize(N + 1); factinv.resize(N + 1); fact[0] = 1; reg(i, 1, N) fact[i] = fact[i - 1] * i; factinv[N] = fact[N].inverse(); for (int i = N; i >= 1; i --) factinv[i - 1] = factinv[i] * i; } mint nCr(int n, int r) { if (n >= mint::Mod) return nCr(n % mint::Mod, r % mint::Mod) * nCr(n / mint::Mod, r / mint::Mod); return r > n ? 0 : fact[n] * factinv[n - r] * factinv[r]; } mint nHr(int n, int r) { return r == 0 ? 1 : nCr(n + r - 1, r); } mint ans=0; ll n,d[200010]; vector v[200010]; void init(){ cin>>n; rep(i,n-1){ ll a,b; cin>>a>>b; v[a].push_back(b); v[b].push_back(a); } reg(i,1,n)d[i]=1e18; queue Q; Q.push(1); d[1]=1; while(!Q.empty()){ ll p = Q.front();Q.pop(); for(ll q:v[p]){ if(d[q]>d[p]+1){ d[q]=d[p]+1; Q.push(q); } } } nCr_computeFactinv(n); } int main(void){ init(); mint sum=0; reg(i,1,n){ mint dinv = 1; dinv/=d[i]; ans+=dinv; } ans*=fact[n]; cout<