using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray(); static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray(); public static void Main() { Solve(); } static void Solve() { var n = NN; var map = NMap(n - 1); var tree = new List[n]; for (var i = 0; i < n; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0]].Add(edge[1]); tree[edge[1]].Add(edge[0]); } var dep = new int[n]; dep[0] = 1; var q = new Queue(); q.Enqueue(0); while (q.Count > 0) { var cur = q.Dequeue(); foreach (var next in tree[cur]) { if (dep[next] > 0) continue; dep[next] = dep[cur] + 1; q.Enqueue(next); } } var count = new int[n + 1]; foreach (var d in dep) ++count[d]; var mod = 1_000_000_007; var ncr = new NCR(n, mod); var ans = 0L; for (var i = 1; i <= n; ++i) { ans = (ans + count[i] * ncr.Fact(n) % mod * ncr.Exp(i, mod - 2) % mod) % mod; } WriteLine(ans); } class NCR { int[] facts; int[] revFacts; int mod; public NCR(int n, int mod) { facts = new int[n + 1]; revFacts = new int[n + 1]; this.mod = mod; facts[0] = 1; var tmp = 1L; for (var i = 1; i <= n; ++i) { tmp = tmp * i % mod; facts[i] = (int)tmp; } tmp = Exp(facts[n], mod - 2); revFacts[n] = (int)tmp; for (var i = n; i > 1; --i) { tmp = tmp * i % mod; revFacts[i - 1] = (int)tmp; } revFacts[0] = 1; } public long Exp(long n, long k) { n = n % mod; if (k == 0) return 1; if (k == 1) return n; var half = Exp(n, k / 2); var result = half * half % mod; return ((k % 2) == 0) ? result : (result * n % mod); } public long Calc(int n, int r) { return (long)facts[n] * revFacts[r] % mod * revFacts[n - r] % mod; } /// nが大きくrが小さい場合の計算 public long Calc2(int n, int r) { var tmp = 1L; for (var i = 0; i < r; ++i) { tmp = tmp * (n - i) % mod; } return tmp * revFacts[r] % mod; } public long NPR(int n, int r) { return (long)facts[n] * revFacts[n - r] % mod; } public long Fact(int n) { return facts[n]; } public long RevFact(int n) { return revFacts[n]; } public long Inverse(int n) { return (long)revFacts[n] * facts[n - 1] % mod; } } }