#include #include using namespace std; namespace my{ using ml=atcoder::modint998244353; auto&operator>>(istream&i,ml&x){int t;i>>t;x=t;return i;} auto&operator<<(ostream&o,const ml&x){return o<<(int)x.val();} #define eb emplace_back #define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__) #define VV(n,...) vec__VA_ARGS__;setsize({n},__VA_ARGS__);vin(__VA_ARGS__) #define FO(n) for(ll ij=n;ij-->0;) #define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);isync_with_stdio(0);cout<r{0,0,1};ll I=0;((r[I++]=a),...);if(!s&&I==1)swap(r[0],r[1]);r[0]-=s;return r;} constexpr char newline=10; constexpr char space=32; auto&rev(auto&a){ranges::reverse(a);return a;} auto pop_front(auto&a){assert(a.size());auto r=*a.begin();a.pop_front();return r;} templatestruct deque:std::deque{ deque(const initializer_list&a={}){fe(a,e)this->eb(e);} deque(const vector&a){fe(a,e)this->eb(e);} friend ostream&operator<<(ostream&o,const deque&q){fe(q,e)o<concept vectorial=is_base_of_v,V>; templatestruct vec_attr{using core_type=T;static constexpr int d=0;}; templatestruct vec_attr{using core_type=typename vec_attr::core_type;static constexpr int d=vec_attr::d+1;}; templateusing core_t=vec_attr::core_type; templateistream&operator>>(istream&i,vector&v){fe(v,e)i>>e;return i;} templateostream&operator<<(ostream&o,const vector&v){fe(v,e)o<?newline:space);return o;} templatestruct vec:vector{ using vector::vector; vec(const vector&v){vector::operator=(v);} vec&operator^=(const vec&u){this->insert(this->end(),u.begin(),u.end());return*this;} vec operator^(const vec&u)const{return vec{*this}^=u;} vec&operator+=(const vec&u){vec&v=*this;fo(i,v.size())v[i]+=u[i];return v;} vec&operator-=(const vec&u){vec&v=*this;fo(i,v.size())v[i]-=u[i];return v;} vec operator+(const vec&u)const{return vec{*this}+=u;} vec operator-(const vec&u)const{return vec{*this}-=u;} vec&operator++(){fe(*this,e)++e;return*this;} vec&operator--(){fe(*this,e)--e;return*this;} vec operator-()const{vec v=*this;fe(v,e)e=-e;return v;} void pop_front(){this->erase(this->begin());} }; templateauto make_vec(const ll(&s)[n],T x={}){if constexpr(n==i+1)return vec(s[i],x);else{auto X=make_vec(s,x);return vec(s[i],X);}} templatevoid setsize(const ll(&l)[n],A&...a){((a=make_vec(l,core_t())),...);} void lin(auto&...a){(cin>>...>>a);} void vin(auto&...a){fo(i,(a.size()&...))(cin>>...>>a[i]);} templatevoid pp(const auto&...a){ll n=sizeof...(a);((cout<0,c)),...);cout<struct edge{ ll from,to; WT wt; ll id; edge()=default; edge(ll from,ll to,WT wt=1,ll id=-1):from(from),to(to),wt(wt),id(id){} auto operator<=>(const edge&e)const{return wt<=>e.wt;} friend ostream&operator<<(ostream&o,const edge&e){return o<<"(to "<struct graph{ vec>>edges; graph()=default; graph(ll n):edges(n){} decltype(auto)operator[](ll i){return edges[i];} decltype(auto)operator[](ll i)const{return edges[i];} ll size()const{return edges.size();} friend ostream&operator<<(ostream&o,const graph&g){ fo(u,g.size()){ o<<"from "<void add_edge(ll a,A&&...b){edges[a].eb(a,std::forward(b)...);} void add_edge(const edge&e){edges[e.from].eb(e);} void add_edges(const vec&a,const vec&b){fo(i,a.size())edges[a[i]].eb(a[i],b[i],1,i);} void add_edges(const vec&a,const vec&b,const vec&w){fo(i,a.size())edges[a[i]].eb(a[i],b[i],w[i],i);} void add_edges(const vec>&es){fe(es,e)edges[e.from].eb(e);} }; templatestruct rooted_tree:graph{ vec>rev_edge; ll r; rooted_tree(ll n,ll r):graph(n),rev_edge(n,{-1,-1,WT(),-1}),r(r){} ll par(ll u)const{return rev_edge[u].from;} ll root()const{return r;} auto bfs_order()const{ vecord; dequeq{r}; while(q.size()){ ll u=q.front(); q.pop_front(); ord.eb(u); fe(this->edges[u],e)q.eb(e.to); } return ord; } auto subtree_size_enumerate()const{ vecres(this->size(),1); auto ord=bfs_order(); rev(ord); fe(ord,u)if(ll p=par(u);p!=-1)res[p]+=res[u]; return res; } }; templateauto bfs_tree(const graph&g,ll s){ rooted_treetree(g.size(),s); vecused(g.size()); deque>q{{-1,s,WT(),-1}}; while(q.size()){ auto pu=q.front();q.pop_front(); auto[p,u,w,_]=pu; if(used[u])continue; used[u]=1; if(p!=-1)tree.add_edge(pu); tree.rev_edge[u]=pu; fe(g[u],e)if(!used[e.to])q.eb(e); } return tree; } templateauto bfs_tree(const rooted_tree&g){return bfs_tree(g,g.root());} single_testcase void solve(){ LL(N); VV(N-1,a,b);dec(a,b); graphg(N); g.add_edges(a,b); g.add_edges(b,a); auto tree=bfs_tree(g,0); auto d=tree.subtree_size_enumerate(); ml ans=0; fo(u,N)ans+=d[u]*(N-d[u]); ml U=N*(N-1)/2*(N-1); pp(1-ans/U); }}