#include #define rep(i, a, n) for(int i = a; i < n; i++) #define int long long using namespace std; typedef pair P; const int mod = 1000000007; const int INF = 1e18; struct Combination { vector fact, rfact; Combination(int sz) : fact(sz + 1), rfact(sz + 1) { fact[0] = 1; for(int i = 1; i < fact.size(); i++){ fact[i] = fact[i - 1] * i % mod; } rfact[sz] = inv(fact[sz]); for(int i = sz - 1; i >= 0; i--){ rfact[i] = rfact[i + 1] * (i + 1) % mod; } } int64_t inv(int x) const { return pow(x, mod - 2); } int64_t pow(int64_t x, int64_t n) const { int64_t ret = 1; while(n > 0){ if(n & 1) (ret *= x) %= mod; (x *= x) %= mod; n >>= 1; } return (ret); } int64_t P(int n, int r) const { if(r < 0 || n < r) return (0); return (fact[n] * rfact[n - r] % mod); } int64_t C(int p, int q) const { if(q < 0 || p < q) return (0); return (fact[p] * rfact[q] % mod * rfact[p - q] % mod); } int64_t H(int n, int r) const { if(n < 0 || r < 0) return (0); return (r == 0 ? 1 : C(n + r - 1, r)); } }; vector G[200010]; int d[200010]; void dfs(int u, int p){ for(auto v : G[u]){ if(v == p) continue; d[v] = d[u] + 1; dfs(v, u); } } signed main(){ cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; rep(i, 0, n - 1){ int u, v; cin >> u >> v; u--; v--; G[u].push_back(v); G[v].push_back(u); } d[0] = 0; dfs(0, -1); int ans = 0; Combination uku(n); for(int i = 0; i < n; i++){ int tmp = uku.fact[n] * uku.inv(d[i] + 1) % mod; // cout << i << ' ' << tmp << endl; (ans += tmp) %= mod; } cout << ans << endl; }