#include #include #define llint long long #define mod 1000000007 using namespace std; llint n; vector G[200005]; llint cnt[200005]; const int FACT_MAX = 200005; llint fact[FACT_MAX], fact_inv[FACT_MAX]; llint modpow(llint a, llint n) { if(n == 0) return 1; if(n % 2){ return ((a%mod) * (modpow(a, n-1)%mod)) % mod; } else{ return modpow((a*a)%mod, n/2) % mod; } } void make_fact() { llint val = 1; fact[0] = 1; for(int i = 1; i < FACT_MAX; i++){ val *= i; val %= mod; fact[i] = val; } fact_inv[FACT_MAX-1] = modpow(fact[FACT_MAX-1], mod-2); for(int i = FACT_MAX-2; i >= 0; i--){ fact_inv[i] = fact_inv[i+1] * (i+1) % mod; } } llint comb(llint n, llint k) { llint ret = 1; ret *= fact[n]; ret *= fact_inv[k], ret %= mod; ret *= fact_inv[n-k], ret %= mod; return ret; } void dfs(int v, int p, int d) { cnt[d]++; for(int i = 0; i < G[v].size(); i++){ if(G[v][i] == p) continue; dfs(G[v][i], v, d+1); } } int main(void) { cin >> n; int u, v; for(int i = 1; i < n; i++){ cin >> u >> v; G[u].push_back(v); G[v].push_back(u); } make_fact(); dfs(1, -1, 0); llint ans = 0; for(int i = 0; i <= n; i++){ ans += fact[n] * modpow(i+1, mod-2) % mod * cnt[i] % mod; ans %= mod; } cout << ans << endl; return 0; }