#include #include #ifndef IO_HPP #define IO_HPP #include #include #include #include #include #include #include #include #include using namespace std; templateistream &operator>>(istream&,pair&); templateistream &operator>>(istream&,tuple&a); templateistream &operator>>(istream&is,vector&a); templateistream &operator>>(istream&is,array&a); template istream &operator>>(istream&is,pair&a){ is>>a.first>>a.second; return is; } template void read_tuple(istream&is,tuple&a){ if constexpr(pos>::value){ is>>get(a); read_tuple(is,a); } } template istream &operator>>(istream&is,tuple&a){ read_tuple<0>(is,a); return is; } template istream &operator>>(istream&is,vector&a){ for(T&x:a)is>>x; return is; } template istream &operator>>(istream&is,array&a){ for(T&x:a)is>>x; return is; } templateostream &operator<<(ostream&os,const pair&); templateostream &operator<<(ostream&os,const tuple&); templateostream &operator<<(ostream&os,const vector&); templateostream &operator<<(ostream&os,priority_queue); templateostream &operator<<(ostream&os,queue); templateostream &operator<<(ostream&os,deque); templateostream &operator<<(ostream&os,stack); templateostream &operator<<(ostream&os,const array&); templateostream &operator<<(ostream&os,const map&); templateostream &operator<<(ostream&os,const unordered_map&); templateostream &operator<<(ostream&os,const set&); templateostream &operator<<(ostream&os,const multiset&); templateostream &operator<<(ostream&os,const unordered_set&); template ostream &operator<<(ostream&os,const pair&a){ os< void write_tuple(ostream&os,const tuple&a){ if constexpr(pos>::value){ if constexpr(pos>0)os<<' '; os<(a); write_tuple(os,a); } } template ostream &operator<<(ostream&os,const tuple&a){ write_tuple<0>(os,a); return os; } template ostream &operator<<(ostream&os,const vector&a){ os<<'{'; for(int i=0;i<(int)a.size();i++){ os< ostream &operator<<(ostream&os,priority_queuea){ os<<'{'; if(!a.empty()){ os< ostream &operator<<(ostream&os,queuea){ os<<'{'; if(!a.empty()){ os< ostream &operator<<(ostream&os,dequea){ os<<'{'; if(!a.empty()){ os< ostream &operator<<(ostream&os,stacka){ os<<'{'; if(!a.empty()){ os< ostream &operator<<(ostream&os,const array&a){ os<<'{'; for(int i=0;i<(int)a.size();i++){ os< ostream &operator<<(ostream&os,const map&a){ if(a.empty()){ os<<"{}"; return os; } auto itr=a.begin(); os<<"{["<first<<","<second<<']'; while(++itr!=a.end())os<<",["<first<<','<second<<']'; os<<'}'; return os; } template ostream &operator<<(ostream&os,const unordered_map&a){ if(a.empty()){ os<<"{}"; return os; } auto itr=a.begin(); os<<"{["<first<<","<second<<']'; while(++itr!=a.end())os<<",["<first<<','<second<<']'; os<<'}'; return os; } template ostream &operator<<(ostream&os,const set&a){ if(a.empty()){ os<<"{}"; return os; } auto itr=a.begin(); os<<'{'<<*itr; while(++itr!=a.end())os<<','<<*itr; os<<'}'; return os; } template ostream &operator<<(ostream&os,const multiset&a){ if(a.empty()){ os<<"{}"; return os; } auto itr=a.begin(); os<<'{'<<*itr; while(++itr!=a.end())os<<','<<*itr; os<<'}'; return os; } template ostream &operator<<(ostream&os,const unordered_set&a){ if(a.empty()){ os<<"{}"; return os; } auto itr=a.begin(); os<<'{'<<*itr; while(++itr!=a.end())os<<','<<*itr; os<<'}'; return os; } #endif using namespace std; using ll=long long; using ull=unsigned long long; using P=pair; templateusing minque=priority_queue,greater>; templatebool chmax(T &a,const T &b){return (abool chmin(T &a,const T &b){return (a>b?(a=b,true):false);} templatevoid operator++(pair&a,int){a.first++,a.second++;} templatevoid operator--(pair&a,int){a.first--,a.second--;} templatevoid operator++(vector&a,int){for(auto &i:a)i++;} templatevoid operator--(vector&a,int){for(auto &i:a)i--;} #define overload3(_1,_2,_3,name,...) name #define rep1(i,n) for(int i=0;i<(int)(n);i++) #define rep2(i,l,r) for(int i=(int)(l);i<(int)(r);i++) #define rep(...) overload3(__VA_ARGS__,rep2,rep1)(__VA_ARGS__) #define reps(i,l,r) rep2(i,l,r) #define all(x) x.begin(),x.end() #define pcnt(x) __builtin_popcountll(x) #define fin(x) return cout<<(x)<<'\n',static_cast(0) #define yn(x) cout<<((x)?"Yes\n":"No\n") #define uniq(x) sort(all(x)),x.erase(unique(all(x)),x.end()) template inline int fkey(vector&z,T key){return lower_bound(z.begin(),z.end(),key)-z.begin();} ll myceil(ll a,ll b){return (a+b-1)/b;} template auto vec(const int (&d)[n],const T &init=T()){ if constexpr (id(d,init)); else return init; } #ifdef LOCAL #include #define SWITCH(a,b) (a) #else #define debug(...) static_cast(0) #define debugg(...) static_cast(0) #define SWITCH(a,b) (b) #endif struct Timer{ clock_t start; Timer(){ start=clock(); ios::sync_with_stdio(false); cin.tie(nullptr); cout<>testcase; for(int i=0;i struct Edge{ int from,to; T weight; int index; Edge(int from_,int to_,T weight_=T(),int index_=-1):from(from_),to(to_),weight(weight_),index(index_){} Edge():from(-1),to(-1),weight(),index(-1){} friend std::ostream &operator<<(std::ostream &os,const Edge&e){ os<<'['; os<<"from:"< struct Tree{ int n,r; std::vector>edge; std::vector>g; std::vectorptr; struct tree_range{ using iterator=typename std::vector>::iterator; iterator l,r; iterator begin()const{return l;} iterator end()const{return r;} int size()const{return r-l;} bool empty()const{return !size();} Edge &operator[](int i)const{return l[i];} }; struct const_tree_range{ using iterator=typename std::vector>::const_iterator; iterator l,r; iterator begin()const{return l;} iterator end()const{return r;} int size()const{return r-l;} bool empty()const{return !size();} const Edge &operator[](int i)const{return l[i];} }; explicit Tree(int n_):n(n_){ edge.reserve(n-1); } Tree():n(0){} Tree(int n_,const std::vector>&e,bool dir=false):n(n_),r(-1),edge(e){ if(!dir)build(); else{ std::vectorseen(n,false); ptr.resize(n+1); for(const Edge&i:edge)ptr[i.from]++,ptr[i.to]++,seen[i.to]=true; for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1]; r=std::find(seen.begin(),seen.end(),false)-seen.begin(); assert(ptr[n]==n*2-2); g.resize(ptr[n]); for(const Edge&i:edge)g[--ptr[i.to]]=Edge(i.to,i.from,i.weight,i.index); for(const Edge&i:edge)g[--ptr[i.from]]=i; } } template void read(){ for(int i=0;i>u>>v; if constexpr(index)u--,v--; if constexpr(weighted)std::cin>>w; else w=1; edge.emplace_back(u,v,w,i); } build(); } template void readp(){ ptr.resize(n+1); for(int i=1;i>p; if constexpr(index)p--; edge.emplace_back(p,i,1,i-1); ptr[p]++; ptr[i]++; } for(int i=1;i<=n;i++)ptr[i]+=ptr[i-1]; g.resize(n*2-2); for(auto&&[u,v,w,i]:edge)g[--ptr[v]]=Edge(v,u,w,i); for(int i=0;ipar(n,-1); par[root]=-1; std::queueque; que.push(root); while(!que.empty()){ int x=que.front(); que.pop(); for(int i=ptr[x];i&e=g[i]; if(e.to!=par[x]){ par[e.to]=x; assert(e.indexbfs_order()const{ assert(is_directed()); std::vectorbfs(n); int p=0,q=0; bfs[q++]=root(); while(p&e:(*this)[x])bfs[q++]=e.to; } return bfs; } std::vectordfs_order()const{ assert(is_directed()); std::vectorres; res.reserve(n); std::vectorst(n); int p=0; st[p++]=root(); while(p){ int x=st[--p]; res.push_back(x); p+=(*this)[x].size(); for(const Edge&e:(*this)[x])st[--p]=e.to; p+=(*this)[x].size(); } return res; } std::vectorrbfs_order()const{ std::vectorbfs=bfs_order(); std::reverse(bfs.begin(),bfs.end()); return bfs; } void hld(){ assert(is_directed()); std::vectorsub(n); for(int x:rbfs_order()){ sub[x]=1; int mx=-1; for(Edge&e:(*this)[x]){ sub[x]+=sub[e.to]; if(mx,std::vector>in_out_order(){ assert(is_directed()); std::vectorin(n),out(n); int p=0; auto dfs=[&](auto self,int x)->void { in[x]=p++; for(const Edge&e:(*this)[x]){ self(self,e.to); } out[x]=p; }; dfs(dfs,root()); return std::make_pair(in,out); } std::pair>diameter()const{ assert(!is_directed()); static constexpr T inf=std::numeric_limits::max(); std::vectordst(n,inf); dst[0]=0; std::vectorque(n); int p=0,q=1; que[0]=0; while(p&e:(*this)[x])if(dst[e.to]==inf){ dst[e.to]=dst[x]+e.weight; que[q++]=e.to; } } int u=std::max_element(dst.begin(),dst.end())-dst.begin(); std::fill(dst.begin(),dst.end(),inf); dst[u]=0; p=0,q=1; que[0]=u; while(p&e:(*this)[x])if(dst[e.to]==inf){ dst[e.to]=dst[x]+e.weight; que[q++]=e.to; } } int v=std::max_element(dst.begin(),dst.end())-dst.begin(); T weight=dst[v]; std::vectorres; while(u!=v){ res.push_back(v); for(const Edge&e:(*this)[v])if(dst[e.to]& get_edge(int i)const{return edge[i];} inline int parent(int i)const{return i==r?-1:g[ptr[i+1]-1].to;} const Edge& parent_edge(int i)const{ assert(r!=-1&&i!=r); return g[ptr[i+1]-1]; } inline int root()const{return r;} typename std::vector>::iterator begin(){return edge.begin();} typename std::vector>::iterator end(){return edge.end();} typename std::vector>::const_iterator begin()const{return edge.begin();} typename std::vector>::const_iterator end()const{return edge.end();} }; Tree<>prufer(const std::vector&c){ int n=c.size()+2; std::sets; Tree<>res(n); for(int i=0;icnt(n,0); for(int i=0;ivis(n); vectora(n-2); vectordeg(n); rep(i,n)deg[i]=t[i].size(); rep(i,n-2){ a[i]=-1; rep(j,n)if(!vis[j]&°[j]==1){ a[i]=j; break; } assert(a[i]!=-1); vis[a[i]]=true; int u=-1; for(auto e:t[a[i]])if(!vis[e.to]){ u=e.to; break; } assert(u!=-1); deg[u]--; a[i]=u; } rep(i,n-2)cout<a(n-2); cin>>a; a--; auto t=prufer(a); for(auto e:t)cout<>player; int n; cin>>n; int k=n-2; cout<