#include struct Node { int depth{-1}; std::list edge; bool visited{}; }; constexpr long long mod{1'000'000'007}; constexpr long long max{1000'000}; std::vector graph; long long fac[max + 1], finv[max + 1], inv[max + 1]; void dfs(int, int); // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i <= max; i++){ fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod%i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main() { COMinit(); int N; scanf("%d", &N); graph.resize(N); for (int i{}; i < N - 1; i++) { int u, v; scanf("%d%d", &u, &v); u--; v--; graph[u].edge.push_back(v); graph[v].edge.push_back(u); } dfs(0, 0); long long ans{}; for (auto& e: graph) ans = (ans + COM(N, e.depth + 1) * fac[e.depth] % mod * fac[N - e.depth - 1] % mod) % mod; printf("%lld\n", ans); return 0; } void dfs(int index, int depth) { if (graph[index].depth >= 0) return; graph[index].depth = depth; for (auto& e: graph[index].edge) dfs(e, depth + 1); return; }