#include 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);} templateistream &operator>>(istream &is,pair&p){is>>p.first>>p.second;return is;} templateistream &operator>>(istream &is,tuple&a){is>>std::get<0>(a)>>std::get<1>(a)>>std::get<2>(a);return is;} templateistream &operator>>(istream &is,array&a){for(auto&i:a)is>>i;return is;} templateistream &operator>>(istream &is,vector &a){for(auto &i:a)is>>i;return is;} templatevoid operator++(pair&a,int n){a.first++,a.second++;} templatevoid operator--(pair&a,int n){a.first--,a.second--;} templatevoid operator++(vector&a,int n){for(auto &i:a)i++;} templatevoid operator--(vector&a,int n){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) templateostream &operator<<(ostream &os,const pair&p){os<>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 Graph{ private: int n; std::vector>edge; std::vector>g; std::vectorptr; bool directed; struct graph_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;} Edge &operator[](int i)const{return l[i];} }; struct const_graph_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;} const Edge &operator[](int i)const{return l[i];} }; public: Graph(int n_,bool dir_):n(n_),directed(dir_){} Graph():n(0){} Graph(int n_,bool dir_,const std::vector>&e):n(n_),directed(dir_),edge(e){build();} template void read(int m){ edge.reserve(m); for(int i=0;i>u>>v; T w; if constexpr(index)u--,v--; if constexpr(weighted)std::cin>>w; else w=1; edge.emplace_back(u,v,w,i); } build(); } void add_edge(int u,int v){ assert(0<=u&&ue){ edge.emplace_back(e); } void build(){ std::vectorcnt(n+1,0); for(const Edge&e:edge){ cnt[e.from+1]++; if(!directed)cnt[e.to+1]++; } for(int i=1;i<=n;i++)cnt[i]+=cnt[i-1]; ptr=cnt; g.resize(cnt[n]); for(const Edge&e:edge){ g[cnt[e.from]++]=e; if(!directed)g[cnt[e.to]++]=Edge(e.to,e.from,e.weight,e.index); } } void reverse(){ if(directed){ for(Edge&e:edge)std::swap(e.from,e.to); build(); } } inline void to_directed(){ directed=true; build(); } inline void to_undirected(){ directed=false; build(); } void reserve(int m){edge.reserve(m);} graph_range operator[](int i){return graph_range{g.begin()+ptr[i],g.begin()+ptr[i+1]};} const_graph_range operator[](int i)const{return const_graph_range{g.begin()+ptr[i],g.begin()+ptr[i+1]};} const Edge& get_edge(int i)const{return edge[i];} std::vector>get_edges()const{return edge;} inline bool is_directed()const{return directed;} inline int size()const{return n;} inline int edge_size()const{return edge.size();} 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();} }; #include #include struct gf2{ private: unsigned long long v; static constexpr unsigned long long table[16]={0,27,45,54,90,65,119,108,175,180,130,153,245,238,216,195}; public: constexpr gf2():v(){} template constexpr gf2(T x):v(x){} inline gf2 operator+()const{return *this;} inline gf2 operator-()const{return *this;} inline gf2 &operator+=(const gf2&rhs){v^=rhs.v;return *this;} inline gf2 &operator-=(const gf2&rhs){v^=rhs.v;return *this;} __attribute__((target("pclmul,sse4.2"))) inline gf2 &operator*=(const gf2&rhs){ __m128i m=_mm_clmulepi64_si128(_mm_set_epi64x(0,v),_mm_set_epi64x(0,rhs.v),0); unsigned long long high=_mm_extract_epi64(m,1); unsigned long long low=_mm_extract_epi64(m,0); v=high^(high<<1); low^=v^(v<<3); v=low^table[high>>60]; return *this; } inline gf2 &operator/=(const gf2&rhs){return *this*=rhs.inv();} friend gf2 operator+(const gf2&lhs,const gf2&rhs){return gf2(lhs)+=rhs;} friend gf2 operator-(const gf2&lhs,const gf2&rhs){return gf2(lhs)-=rhs;} friend gf2 operator*(const gf2&lhs,const gf2&rhs){return gf2(lhs)*=rhs;} friend gf2 operator/(const gf2&lhs,const gf2&rhs){return gf2(lhs)/=rhs;} auto operator<=>(const gf2&)const=default; gf2 pow(unsigned long long k)const{ gf2 res=1,a=*this; while(k){ if(k&1)res*=a; a*=a; k>>=1; } return res; } inline gf2 inv()const{return pow(-2);} unsigned long long val()const{return v;} friend std::istream &operator>>(std::istream&is,gf2&rhs){is>>rhs.v;return is;} friend std::ostream &operator<<(std::ostream&os,const gf2&rhs){os< namespace Random{ std::mt19937_64 mt(std::random_device{}()); templateinline std::enable_if_t,T> get(){return mt();} templateinline std::enable_if_t,T> get(){return T(mt())/T(-1ull);} templateinline std::enable_if_t,T>range(T n){return mt()%n;} templateinline std::enable_if_t,T>range(T l,T r){return l+mt()%(r-l);} templateinline std::enable_if_t,std::pair>distinct(T n){ T l=mt()%n,r=mt()%(n-1); if(l==r)r++; if(l>r)std::swap(l,r); return std::make_pair(l,r); } } template std::conditional_t,int>shortest_path(const Graph&g,int s,int t,std::vectorvs){ int n=g.size(); int m=g.edge_size(); std::erase_if(vs,[&](int v){return s==v||t==v;}); int k=vs.size(); assert(0<=s&&smask(n); for(int i=0;i>edges; for(const Edge&e:g)if(e.from!=e.to){ edges.emplace_back(e.from,e.to,Random::get()); } std::vectorres; std::vectora; do{ a.clear(); for(auto[u,v,w]:edges){ if(u==s||v==s)a.push_back(s^u^v); } std::sort(a.begin(),a.end()); if(s!=t)std::erase_if(edges,[&](const std::tuple&tp){return std::get<0>(tp)==s||std::get<1>(tp)==s;}); std::erase_if(vs,[&](int v){return s==v;}); k=vs.size(); std::fill(mask.begin(),mask.end(),0); for(int i=0;i>dpv(1<(n)),dpe(1<(m*2)); dpv[0][t]=1; int d=std::numeric_limits::max(); int ns=-1; for(int i=0;i>ndpv(1<(n)),ndpe(1<(m*2)); for(int S=0;S<(1<>n>>m; int x,y,z; cin>>x>>y>>z; x--,y--,z--; vector>edge(n,vector(n)); rep(i,m){ int u,v; cin>>u>>v; u--,v--; edge[u][v]=edge[v][u]=true; } Graph g(n,false); rep(i,n)rep(j,i+1,n)if(!edge[i][j])g.add_edge(i,j); g.build(); auto ans=shortest_path(g,x,x,{x,y,z}); if(ans.empty())fin(-1); ans++; cout<