// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define vrep(v, i) for(int i = 0; i < (v).size(); i++) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second #define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n]; #define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m]; using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; typedef complex cd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template T power(T a, T n, T mod) { T res = 1; T tmp = n; T curr = a; while(tmp){ if(tmp % 2 == 1){ res = (T)((ll)res * curr % mod); } curr = (T)((ll)curr * curr % mod); tmp >>= 1; } return res; } struct Factorial{ int n; const int MOD = 1e9 + 7; vector fac; vector inv_; Factorial(int n): n(n){ fac.resize(n + 1); inv_.resize(n + 1); calc_factorial(); calc_inv(); } void calc_factorial(){ fac[0] = 1; for(int i = 1; i <= n; i++){ fac[i] = i * fac[i-1] % MOD; } } void calc_inv(){ inv_[n] = power(fac[n], MOD - 2, MOD); for(int i = n - 1; i >= 0; i--){ inv_[i] = (i + 1) * inv_[i+1] % MOD; } } long long& operator[](size_t i){ if(i < 0 || i > n){ cerr << "list index out of range" << endl; abort(); } return fac[i]; } long long inv(size_t i){ if(i < 0 || i > n){ cerr << "list index out of range" << endl; abort(); } return inv_[i]; } long long comb(int n, int k){ if(n < k)return 0; long long res = fac[n]; res = res * inv_[n-k] % MOD; res = res * inv_[k] % MOD; return res; } long long perm(int n, int k){ if(n < k)return 0; long long res = fac[n]; res = res * inv_[n-k] % MOD; return res; } long long h(int n, int k){ if(n == 0 && k == 0)return 1; return comb(n + k - 1, k); } }; vector edge[200001]; bool vis[200001]; int h[200001]; void dfs(int i){ vis[i] = true; for(auto e: edge[i]){ if(!vis[e]){ h[e] = h[i] + 1; dfs(e); } } } template T extgcd(T a, T b, T &x, T &y){ T d = a; if(b != 0){ d = extgcd(b, a % b, y, x); y -= (a / b) * x; }else{ x = 1, y = 0; } return d; } template T modinv(T a, T m){ long long x = 0, y = 0; extgcd(a, m, x, y); x %= m; if(x < 0)x += m; return x; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; rep(i, n - 1){ int u, v; cin >> u >> v, u--, v--; edge[u].pb(v); edge[v].pb(u); } dfs(0); Factorial fac(n); ll res = 0; rep(i, n){ ll tmp = modinv(h[i] + 1, mod); res = (res + tmp) % mod; } cout << res * fac.fac[n] % mod << endl; return 0; }