#include #include using namespace std; namespace my{ #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;if(s)r[2]*=-1;return r;} constexpr ld ee=1e-12; constexpr char newline=10; constexpr char space=32; constexpr auto abs(auto x){return x<0?-x:x;} auto ceil(auto x,auto y){if(y<0)x=-x,y=-y;return x<=0?x/y:(x-1)/y+1;} bool amin(auto&a,const auto&b){return b>{a...});} templatestruct pair{ A a;B b; pair()=default; pair(A a,B b):a(a),b(b){} pair(const std::pair&p):a(p.first),b(p.second){} auto operator<=>(const pair&)const=default; pair operator+(const pair&p)const{return{a+p.a,b+p.b};} friend istream&operator>>(istream&i,pair&p){return i>>p.a>>p.b;} friend ostream&operator<<(ostream&o,const pair&p){return o<ostream&operator<<(ostream&o,const std::pair&p){return o<struct queue:std::queue{ queue(const initializer_list&a={}){fe(a,e)this->emplace(e);} queue(const vector&a){fe(a,e)this->emplace(e);} ll size()const{return std::queue::size();} T pop(){T r=this->front();std::queue::pop();return r;} friend ostream&operator<<(ostream&o,queue q){while(q.size())o<0,space);return o;} }; templatestruct priority_queue:std::priority_queue,F>{ priority_queue(const initializer_list&a={}){fe(a,e)this->emplace(e);} priority_queue(const vector&a){fe(a,e)this->emplace(e);} ll size()const{return std::priority_queue,F>::size();} T pop(){T r=this->top();std::priority_queue,F>::pop();return r;} friend ostream&operator<<(ostream&o,priority_queue q){while(q.size())o<0,space);return o;} }; templateusing min_heap=priority_queue>; templateauto pack_kth(const auto&...a){return get(make_tuple(a...));} templateauto pack_slice_impl(index_sequence, const auto&...a){return array{get(forward_as_tuple(a...))...};} templateauto pack_slice(const auto&...a){return pack_slice_impl(make_index_sequence{},a...);} templateconcept vectorial=is_base_of_v,V>; templatestruct vec_attr{using core_type=T;static constexpr int rank=0;}; templatestruct vec_attr{using core_type=typename vec_attr::core_type;static constexpr int rank=vec_attr::rank+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);} templaterequires(sizeof...(A)>=3)vec(A...a){const ll n=sizeof...(a)-1;auto t=pack_slice(a...);ll s[n];fo(i,n)s[i]=t[i];*this=make_vec(s,pack_kth(a...));} templatestatic auto make_vec(const ll(&s)[n],T x){if constexpr(i==n-1)return vec(s[i],x);else{auto X=make_vec(s,x);return vec(s[i],X);}} 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;} ll size()const{return vector::size();} auto scan(const auto&f)const{pair,bool>r{};fe(*this,e)if constexpr(!vectorial)r.b?f(r.a,e),r:r={e,1};else if(auto s=e.scan(f);s.b)r.b?f(r.a,s.a),r:r=s;return r;} auto max()const{return scan([](auto&a,const auto&b){astruct tensor_helper{using type=vec::type>;}; templatestruct tensor_helper<0,T>{using type=T;}; templateusing tensor=typename tensor_helper::type; templaterequires(sizeof...(A)>=2)vec(A...a)->vec(declval>()))>>>; vec(ll)->vec; templatevoid setsize(const ll(&l)[n],A&...a){((a=vec::make_vec(l,core_t{})),...);} templatestruct infinity{ templateconstexpr operator T()const{return numeric_limits::max()*(1-is_negative*2);} templateconstexpr operator T()const{return static_cast(*this);} templateconstexpr bool operator==(T x)const{return static_cast(*this)==x;} constexpr auto operator-()const{return infinity();} templateconstexpr operator pair()const{return pair{*this,*this};} }; constexpr infinity oo; 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<auto binary_search(const auto&f,T o,T x){ if(is_floating_point_v)fo(log2((abs(o-x)/ee))+6)(f((o+x)/2)?o:x)=(o+x)/2; else while(abs(o-x)>1)(f((o+x)/2)?o:x)=(o+x)/2; return o; } auto binary_searchll(auto f,ll o,ll x){return binary_search(f,o,x);} templatestruct 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 "<&p){fo(i,p.size())if(p[i]!=-1)edges[p[i]].eb(p[i],i,1,i);} 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){} void add_edge_and_set_rev_edge(const edge&e){ this->edges[e.from].eb(e); this->rev_edge[e.to]=e; } auto dist_enumerate()const{ vecres(this->size()); fe(bfs_order(),u)fe(this->edges[u],e)res[e.to]=res[u]+e.wt; return res; } auto bfs_order()const{ vecord; queueq{r}; while(q.size()){ ll u=q.pop(); ord.eb(u); fe(this->edges[u],e)q.emplace(e.to); } return ord; } }; templateauto dijkstra_tree(const graph&g,ll s){ rooted_treetree(g.size(),s); vecdist(g.size(),oo); dist[s]=WT{}; vecused(g.size()); min_heap>>q{{WT{},{-1,s,WT{},-1}}}; while(q.size()){ auto[du,pu]=q.pop(); ll u=pu.to; if(dist[u]g(N); vec f(M); fo(i,M)f[i]=(c[i]>X); g.add_edges(a,b,f); g.add_edges(b,a,f); return dijkstra_tree(g,0).dist_enumerate()[N-1]