#include #include using ull = unsigned long long; constexpr ull M = 1000000007; int main() { std::size_t N; std::cin >> N; std::vector L(N + 1, 1), R(N + 1, 1); for (std::size_t i = 1; i <= N; i++) { L[i] = L[i - 1] * (ull)(i == 1 ? 1 : i - 1) % M; } for (std::size_t i = N; i >= 1; i--) { R[i - 1] = R[i] * (ull)(i) % M; } std::vector> g(N); for (std::size_t i = 0; i < N - 1; i++) { std::size_t u, v; std::cin >> u >> v, u--, v--; g[u].push_back(v), g[v].push_back(u); } std::vector dnum(N + 1, 0); auto dfs = [&](auto&& self, const std::size_t s, const std::size_t p, const std::size_t d) -> void { dnum[d]++; for (const std::size_t to : g[s]) { if (to == p) { continue; } self(self, to, s, d + 1); } }; dfs(dfs, 0, N, 1); ull ans = 0; for (std::size_t d = 1; d <= N; d++) { (ans += (ull)dnum[d] * (L[d] * R[d] % M) % M) %= M; } std::cout << ans << std::endl; return 0; }