#include "bits/stdc++.h" using namespace std; //--------------------------------------------------------------------// #define Rep(b, e, i) for(int i = b; i <= e; i++) #define rep(n, i) Rep(0, n-1, i) const int MOD = 1e9 + 7; const int MAX = 200020; typedef long long ll; //階乗とその逆元 ll fac[MAX+1],facInv[MAX+1]; ll power(ll e, ll x){ //e^x % MOD if (x == 0) return 1LL; if (x % 2 != 0) return ((power(e, x-1) * e) % MOD); ll temp = power(e, x / 2); return (temp * temp) % MOD; } ll nck(ll n, ll k) { if (!(n >= k && k >= 0)) return 0; ll temp = (fac[n] * facInv[n - k]) % MOD; return ((temp * facInv[k]) % MOD); } void fact(void){ //階乗とその逆元 fac[0] = facInv[0] = 1; //0! = 1 //(x!)^(-1) ≡ (x!)^(p-2) (mod p) Rep(1, MAX, i) { fac[i] = (fac[i - 1] * i) % MOD; } facInv[MAX] = power(fac[MAX], MOD-2); Rep(1, MAX-1, i) facInv[MAX-i] = (facInv[MAX-i+1] * (MAX-i+1)) % MOD; } //--------------------------------------------------------------------// void solve(void) { int n; cin >> n; vector g[n]; for (int i = 0; i < n-1; i++) { int u, v; cin >> u >> v; u--, v--; g[u].push_back(v); g[v].push_back(u); } queue q; q.push(0); vector dis(n); dis[0] = 1; while (!q.empty()) { int v = q.front(); q.pop(); for (int nv : g[v]) { if (dis[nv]) { continue; } dis[nv] = dis[v] + 1; q.push(nv); } } fact(); map cnt; for (int d : dis) { cnt[d]++; } int ans = 0; for (auto p : cnt) { int d = p.first; int c = p.second; ans += (((((1L * nck(n, d) * fac[d - 1]) % MOD) * fac[n-d]) % MOD) * c) % MOD; ans %= MOD; } cout << ans << endl; } int main() { solve(); //cout << "yui(*-v・)yui" << endl; return 0; }