#include #include namespace my{ using namespace std; #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--;) #define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);isync_with_stdio(0);cout<auto range(bool s,A...a){arrayr{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 nl=10; constexpr char sp=32; constexpr auto square(auto x){return x*x;} constexpr ll pw2(ll n){return 1LL<>i&1;} bool amin(auto&a,const auto&b){return a>b?a=b,1:0;} templateconcept vectorial=is_base_of_v,V>; templatestruct vec_info{using core_type=T;static constexpr int dim=0;}; templatestruct vec_info{using core_type=typename vec_info::core_type;static constexpr int dim=vec_info::dim+1;}; templateusing core_t=vec_info::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<?nl:sp);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++(){fe(*this,e)++e;return*this;} vec&operator--(){fe(*this,e)--e;return*this;} }; 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())),...);} 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();} }; 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<ld{ return sqrtl(square(x[i]-x[j])+square(y[i]-y[j])); }; auto mem=make_vec({pw2(N),K+1,N+1},ld{-1}); auto f=[&](auto&f,ll S,ll k,ll i){ if(mem[S][k][i]!=-1)return mem[S][k][i]; if(S==pw2(N)-1)return dist(i,N); ld res=oo; if(k)fo(j,N)if(!at2(S,j))amin(res,dist(i,j)+f(f,S|pw2(j),k-1,j)); if(i!=N)amin(res,dist(i,N)+f(f,S,K,N)); return mem[S][k][i]=res; }; pp(f(f,0,K,N)); }}