#include using lint=long long; using real=long double; lint mod=1'000'000'007; lint inverse(lint x){ lint ans=1; for(lint p=mod-2;p;p>>=1){ if(p&1)ans=ans*x%mod; x=x*x%mod; } return ans; } struct mint{lint value;}; int main(){ std::cin.tie(nullptr);std::ios_base::sync_with_stdio(false); std::cout.setf(std::ios_base::fixed);std::cout.precision(15); lint n;std::cin>>n; std::vector>g(n); for(lint i=0;i>u>>v;u--,v--; g.at(u).push_back(v); g.at(v).push_back(u); } std::vectordepth(n,-1); std::vectorque={0}; depth.at(0)=0; for(lint i=0;i<(lint)que.size();i++){ lint x=que.at(i); for(lint y:g.at(x)){ if(depth.at(y)!=-1)continue; depth.at(y)=depth.at(x)+1; que.push_back(y); } } lint ans=std::accumulate(depth.begin(),depth.end(),0ll, [](lint acc,lint x){return acc+inverse(x+1);})%mod; if(ans<0)ans+=mod; for(lint i=1;i<=n;i++)ans=ans*i%mod; std::cout<