/** author: shobonvip created: 2024.12.11 04:17:32 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } //defmodfact const int COMinitMAX = 998244; mint fact[COMinitMAX+1], factinv[COMinitMAX+1]; void modfact(){ fact[0] = 1; for (int i=1; i<=COMinitMAX; i++){ fact[i] = fact[i-1] * i; } factinv[COMinitMAX] = fact[COMinitMAX].inv(); for (int i=COMinitMAX-1; i>=0; i--){ factinv[i] = factinv[i+1] * (i+1); } } mint cmb(int a, int b){ if (a> n; vector ikeru(n, vector(0)); rep(i,0,n-1) { int u, v; cin >> u >> v; u--; v--; ikeru[u].push_back(v); ikeru[v].push_back(u); } vector dp(n); auto dfs = [&](auto self, int i, int p) -> void { int cnt = 0; mint tar = 1; for (int j: ikeru[i]) { if (j == p) continue; self(self, j, i); cnt += 1; tar *= dp[j]; } if (i == 0) { tar *= fact[cnt]; }else{ tar *= (cnt + 1) * fact[cnt]; } dp[i] = tar; }; dfs(dfs, 0, -1); mint ans = dp[0] * factinv[n-1]; cout << ans.val() << '\n'; }