#include using namespace std; #define REP(i,n) for(int i=0; i<(int)(n); i++) const long long MOD = 1e9 + 7; int n; vector edges[200000]; int depth[200000+1]; long long f[200000+1]; long long g[200000+1]; long long modpow(long long x, long long p, long long mod) { long long ret = 1; while (p) { if (p & 1) ret = ret * x % mod; x = x * x % mod; p >>= 1; } return ret; } long long comb(int n, int k) { return f[n] * g[n-k] % MOD * g[k] % MOD; } void dfs(int v, int par = -1, int d = 1) { ++depth[d]; for (int w: edges[v]) { if (w != par) dfs(w, v, d+1); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); f[0] = g[0] = 1; for (int i = 1; i <= 200000; i++) { f[i] = i * f[i-1] % MOD; g[i] = modpow(f[i], MOD-2, MOD); } cin >> n; REP (i, n-1) { int u, v; cin >> u >> v; --u, --v; edges[u].push_back(v); edges[v].push_back(u); } dfs(0); long long ret = 0; for (int d = 1; d <= n; d++) { long long tmp = depth[d] * comb(n, d) % MOD * f[d-1] % MOD * f[n-d] % MOD; ret = (ret + tmp) % MOD; } cout << ret << endl; return 0; }