#include #if __has_include() #endif using namespace std; #define eb emplace_back #define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__) #define RDVV(T,n,...) vec__VA_ARGS__;fe(refs(__VA_ARGS__),e)e.get().resizes(n);vin(__VA_ARGS__) #define VV(n,...) RDVV(ll,n,__VA_ARGS__) #define fo(i,...) for(auto[i,i##stop,i##step]=for_range(0,__VA_ARGS__);ivoid pp(const auto&...a){[[maybe_unused]]const char*c="";((o<(a...);} #define entry defpp void main();void main2();}int main(){my::io();my::main();}namespace my{ namespace my{ void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<constexpr auto for_range(T s,T b){T a=0;if(s)swap(a,b);return array{a-s,b,1-s*2};} void lin(auto&...a){(cin>>...>>a);} void vin(auto&...a){fo(i,(a.size()&...))(cin>>...>>a[i]);} constexpr ll size10(auto x){x|=1;ll r=0;while(x>0)x/=10,++r;return r;} templateconstexpr ll maxsize10(){return size10(numeric_limits::max());} bool amin(auto&a,const auto&b){return bstruct pair{ A a;B b; pair()=default; pair(A a,B b):a(a),b(b){} auto operator<=>(const pair&)const=default; }; templatestruct infinity{ templatestatic constexpr T ones(size_t n){return n?ones(n-1)*10+1:0;} templateconstexpr operator T()const{static constexpr T v=ones(maxsize10())*(1-is_negative*2);return v;} templateconstexpr bool operator==(const T&x)const{return static_cast(*this)==x;} }; constexpr infinity oo; void dec(auto&...a){((--a),...);} auto&rev(auto&a){ranges::reverse(a);return a;} templateusing pack_back_t=tuple_element_t>; } namespace my{ templateconstexpr int depth=0; templatestruct core_t_helper{using type=T;}; templateusing core_t=core_t_helper::type; templatestruct vec; templatestruct hvec_helper{using type=vec::type>;}; templatestruct hvec_helper<0,T>{using type=T;}; templateusing hvec=hvec_helper::type; templatestruct vec:vector{ static constexpr int D=depth+1; using C=core_t; using vector::vector; void resizes(const auto&...a){if constexpr(sizeof...(a)==D)*this=make(a...,C{});else{ }} static auto make(ll n,const auto&...a){ if constexpr(sizeof...(a)==1)return vec(n,array{a...}[0]); else { } } vec&operator--(){fe(*this,e)--e;return*this;} ll size()const{return vector::size();} auto&emplace_back(auto&&...a){vector::emplace_back(std::forward(a)...);return*this;} }; templaterequires(sizeof...(A)>=2)vec(const A&...a)->vec>>; } namespace my{ templatestruct queue:std::queue{ queue(const initializer_list&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;} }; templatestruct priority_queue:std::priority_queue,F>{ priority_queue(const initializer_list&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;} }; templateusing min_heap=priority_queue>; } namespace my{ templatestruct Edge{ int from_,to_; WT wt_; int id_; Edge()=default; Edge(int from,int to,WT wt=1,int id=-1):from_(from),to_(to),wt_(wt),id_(id){} auto operator<=>(const Edge&e)const{return wt_<=>e.wt_;} }; templateclass RootedTree{ public: ll n_; vec>>edges_; vec>rev_edge_; int root_; RootedTree(ll n,ll r):n_(n),edges_(n),rev_edge_(n,{-1,-1,WT{},-1}),root_(r){} ll size()const{return n_;} auto par(ll u)const{return u==root_?-1:rev_edge_[u].from_;} auto root_child_enumerate()const{ vecres(size(),-1); fe(bfs_order(root_),u){ if(u==root_)continue; if(par(u)==root_)res[u]=u; fe(edges_[u],e)res[e.to_]=res[u]; } return res; } void set_edge(const Edge&e){ edges_[e.from_].eb(e); rev_edge_[e.to_]=e; } auto bfs_order(ll start=-1)const{ if(start==-1)start=root_; vecord; queueq{start}; while(q.size()){ ll u=q.pop(); ord.eb(u); fe(edges_[u],e)q.emplace(e.to_); } return ord; } }; } namespace my{ templateclass Graph{ public: ll n_; vec>>edges_; Graph()=default; Graph(ll n):n_(n),edges_(n){} decltype(auto)operator[](ll i)const{return edges_[i];} ll size()const{return edges_.size();} auto&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);return*this;} vecbuf; int count=0; auto dijkstra_tree(int s)const{ RootedTreetree(n_,s); vecdist(n_,oo); dist[s]=WT{}; vecused(n_); min_heap>>q{{WT{},{-1,s,WT{},-1}}}; while(q.size()){ auto[du,pu]=q.pop(); auto u=pu.to_; if(dist[u]=WT{}); assert(!used[e.to_]); q.emplace(dist[e.to_],e); } } } return tree; } auto dijkstra_dist_enumerate(int s)const{ vecdist(n_,oo); dist[s]=WT{}; vecused(n_); min_heap>>q{{WT{},{-1,s,WT{},-1}}}; while(q.size()){ auto[du,pu]=q.pop(); auto u=pu.to_; if(dist[u]=WT{}); assert(!used[e.to_]); q.emplace(dist[e.to_],e); } } } return dist; } }; } namespace my{ templateauto undirected_shortest_cycle(const Graph&g,ll s){ auto dist=g.dijkstra_dist_enumerate(s); auto spt=g.dijkstra_tree(s); WT cost=oo; ll a=-1,b=-1; vec mi(g.size(),WT{oo}); fe(g[s],e){ if(e.to_==s){ if(amin(cost,e.wt_))a=b=s; continue; } if(mi[e.to_]==oo)mi[e.to_]=e.wt_; else if(amin(cost,mi[e.to_]+e.wt_))a=s,b=e.to_; } auto roch=spt.root_child_enumerate(); fo(u,g.size()){ if(u==s)continue; if(dist[u]==oo)continue; fe(g[u],e){ if(e.to_==s)continue; if(dist[e.to_]==oo)continue; if(roch[u]==roch[e.to_])continue; if(amin(cost,dist[u]+dist[e.to_]+e.wt_))a=u,b=e.to_; } } veccycle; while(a!=-1&&a!=s)cycle.eb(a),a=spt.par(a); cycle.eb(s); rev(cycle); while(b!=-1&&b!=s)cycle.eb(b),b=spt.par(b); return pair{cycle,cost}; } templateauto directed_shortest_cycle(const Graph&g,ll s){ auto dist=g.dijkstra_dist_enumerate(s); auto spt=g.dijkstra_tree(s); WT cost=oo; ll a=-1; fo(u,g.size())fe(g[u],e)if(e.to_==s&&amin(cost,dist[u]+e.wt_))a=u; veccycle; while(a!=-1&&a!=s)cycle.eb(a),a=spt.par(a); cycle.eb(s); return pair{rev(cycle),cost}; } } namespace my{entry void main(){ LL(T,N,M); VV(M,a,b,c);dec(a,b); Graphg(N); ll ans=oo; if(T==0){ g.add_edges(a,b,c); g.add_edges(b,a,c); fo(i,N)amin(ans,undirected_shortest_cycle(g,i).b); }else{ g.add_edges(a,b,c); fo(i,N)amin(ans,directed_shortest_cycle(g,i).b); } pp(ans!=oo?ans:-1); }}