#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i, n) for (int i = 0; i < (int)(n); ++i) //#define cerr if(false) cerr #ifdef DEBUG #define show(...) cerr << #__VA_ARGS__ << " = ", debug(__VA_ARGS__); #else #define show(...) 42 #endif using namespace std; using ll = long long; using pii = pair; template ostream &operator<<(ostream &os, pair a) { os << '(' << a.first << ',' << a.second << ')'; return os; } template ostream &operator<<(ostream &os, vector v) { for (auto x : v) os << x << ' '; return os; } void debug() { cerr << '\n'; } template void debug(H a, T... b) { cerr << a; if (sizeof...(b)) cerr << ", "; debug(b...); } vectorg[200005]; int dist[200005]; void dfs(int s){ for(auto x: g[s]){ if(dist[x] == -1){ dist[x] = dist[s] + 1; dfs(x); } } } ll mod=1000000007; const int NUM_=400001; ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1]; ll combi(ll N_, ll C_) { if (fact[0]==0) { inv[1]=fact[0]=factr[0]=1; for (int i=2;i<=NUM_;++i) inv[i] = inv[mod % i] * (mod - mod / i) % mod; for (int i=1;i<=NUM_;++i) fact[i]=fact[i-1]*i%mod, factr[i]=factr[i-1]*inv[i]%mod; } if(C_<0 || C_>N_) return 0; return factr[C_]*fact[N_]%mod*factr[N_-C_]%mod; } int main(){ cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; combi(1,1); memset(dist,-1,sizeof(dist)); for(int i = 0; i < n - 1; i++){ int a,b; cin >>a >> b; a--,b--; g[a].push_back(b); g[b].push_back(a); } dist[0] = 0; dfs(0); ll ans = 0; for(int i = 0; i < n; i++){ int t = dist[i]; show(i,t); ans += fact[n] * factr[t + 1] % mod * fact[t] % mod; ans %= mod; show(ans); } cout << ans << endl; }