import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum MO = 10L^^9 + 7; enum LIM = 3 * 10^^5; long[] inv, fac, invFac; void prepare() { inv = new long[LIM]; fac = new long[LIM]; invFac = new long[LIM]; inv[1] = 1; foreach (i; 2 .. LIM) { inv[i] = MO - ((MO / i) * inv[cast(size_t)(MO % i)]) % MO; } fac[0] = invFac[0] = 1; foreach (i; 1 .. LIM) { fac[i] = (fac[i - 1] * i) % MO; invFac[i] = (invFac[i - 1] * inv[i]) % MO; } } long binom(long n, long k) { if (0 <= k && k <= n) { assert(n < LIM); return fac[cast(size_t)(n)] * invFac[cast(size_t)(k)] % MO * invFac[cast(size_t)(n - k)] % MO; } else { return 0; } } int N; int[] A, B; int[][] G; int cntLeaf; void dfs(int u, int p) { bool isLeaf = true; foreach (v; G[u]) { if (v != p) { isLeaf = false; dfs(v, u); } } if (isLeaf) { ++cntLeaf; } } void main() { prepare(); debug { enum lim = 10; auto dp = new long[][][](lim, lim, lim); foreach (a; 1 .. lim) foreach (b; 1 .. lim) { dp[a][b][1] = 1; foreach (k; 2 .. lim) { foreach (aa; 1 .. a) foreach (bb; 1 .. b) { if (aa >= bb) { dp[a][b][k] += dp[aa][bb][k - 1]; } } } } foreach (n; 1 .. lim) { foreach (k; 1 .. lim) { write(" ", dp[n][n][k]); } writeln(); } } try { for (; ; ) { N = readInt(); A = new int[N - 1]; B = new int[N - 1]; foreach (i; 0 .. N - 1) { A[i] = readInt() - 1; B[i] = readInt() - 1; } G = new int[][N]; foreach (i; 0 .. N - 1) { G[A[i]] ~= B[i]; G[B[i]] ~= A[i]; } cntLeaf = 0; dfs(0, -1); long ans = 1; if (N > 1) { ans *= binom(N - 1 - 1, cntLeaf - 1); ans %= MO; ans *= binom(N - 1, cntLeaf - 1); ans %= MO; ans *= inv[cntLeaf]; ans %= MO; } writeln(ans); } } catch (EOFException e) { } }