#include #define ll long long #define INF 1000000005 #define MOD 1000000007 #define EPS 1e-10 #define rep(i,n) for(int i=0;i<(int)(n);++i) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i) #define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i) #define each(a,b) for(auto& (a): (b)) #define all(v) (v).begin(),(v).end() #define len(v) (int)(v).size() #define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end()) #define cmx(x,y) x=max(x,y) #define cmn(x,y) x=min(x,y) #define fi first #define se second #define pb push_back #define show(x) cout<<#x<<" = "<<(x)<auto&operator<<(ostream&o,pairp){return o<<"{"<auto&operator<<(ostream&o,sets){for(auto&e:s)o< auto&operator<<(ostream&o,priority_queueq){while(!q.empty())o<auto&operator<<(ostream&o,mapm){for(auto&e:m)o<auto&operator<<(ostream&o,vectorv){for(auto&e:v)o<void ashow(T t,A...a){cout< P; typedef pair pll; typedef vector vi; typedef vector vl; typedef vector vvi; typedef vector vvl; typedef vector

vp; typedef vector vd; typedef vector vs; const int MAX_N = 200005; int inv[MAX_N],fac[MAX_N],finv[MAX_N]; void make() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for(int i=2;i G[MAX_N]; int d[MAX_N]; void dfs(int u, int p, int depth) { d[depth]++; each(v, G[u]){ if(v != p){ dfs(v, u, depth+1); } } } int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; rep(i,n-1){ int u,v; cin >> u >> v; G[u-1].pb(v-1), G[v-1].pb(u-1); } make(); dfs(0, -1, 1); int ans = 0; srep(i,1,n+1){ ans = add(ans, mul(mul(fac[n-i], fac[i-1]), mul(d[i], comb(n, i)))); } cout << ans << "\n"; return 0; }