#pragma GCC optimize("Ofast") //#pragma GCC target("avx2") #pragma GCC optimize("unroll-loops") #include using namespace std; //#include //#include //namespace mp=boost::multiprecision; //#define mulint mp::cpp_int //#define mulfloat mp::cpp_dec_float_100 struct __INIT{__INIT(){cin.tie(0);ios::sync_with_stdio(false);cout<=0;(i)--) #define flc(x) __builtin_popcountll(x) #define pint pair #define pdouble pair #define plint pair #define fi first #define se second #define all(x) x.begin(),x.end() #define vec vector #define nep(x) next_permutation(all(x)) typedef long long lint; int dx[8]={1,1,0,-1,-1,-1,0,1}; int dy[8]={0,1,1,1,0,-1,-1,-1}; const int MAX_N=3e5+5; templatebool chmax(T &a,const T &b){if(abool chmin(T &a,const T &b){if(b bucket[MAX_N/1000]; constexpr int MOD=1000000007; //constexpr int MOD=998244353; #include using namespace atcoder; typedef __int128_t llint; template struct edge{ lint to,num; T cost; }; template struct Graph{ vector>> E; vector A; vector ES; vector> E_num; vector ds_prev; vector reach; vector dis; int esize; int dlast; bool dis_calced=false; Graph(){ esize=0; }; Graph(size_t n){ A.resize(n); E.resize(n); reach.resize(n); dis.resize(n); esize=0; } size_t v_size() const{ return (A.size()); } size_t e_size() const{ return (E.size()); } void clear(){ E.clear(); ES.clear(); E_num.clear(); esize=0; } void all_clear(){ E.clear(); ES.clear(); E_num.clear(); A.clear(); esize=0; } int add_edge(lint from,lint to,T cost=1){ E[from].push_back({to,esize,cost}); E_num.push_back({to,esize,cost}); esize++; return esize; } int add_edge_bi(lint from,lint to,T cost=1){ E[from].push_back({to,esize,cost}); E_num.push_back({to,esize,cost}); esize++; E[to].push_back({from,esize,cost}); E_num.push_back({from,esize,cost}); esize++; return esize; } vector dijkstra(int begin){ dlast=begin; vector d(A.size()); ds_prev.resize(A.size()); rep(i,A.size()) ds_prev[i]=i; fill(all(d),LINF); priority_queue,vector>,greater>> que; d[begin]=0; que.push(pair(0,begin)); while(!que.empty()){ pair p=que.top(); que.pop(); T v=p.second; if(d[v] e=E[v][i]; if(d[e.to]>d[v]+e.cost){ d[e.to]=d[v]+e.cost; ds_prev[e.to]=v; que.push(pair(d[e.to],e.to)); } } } return d; } vector dk_short_path(int to){ vector res; res.push_back(to); while(ds_prev[to]!=to){ res.push_back(ds_prev[to]); to=ds_prev[to]; } reverse(all(res)); return res; } vector reachable(int begin){ bool reach[A.size()]={}; vector res; queue q; q.push(begin); reach[begin]=true; while(!q.empty()){ lint now=q.front(); q.pop(); res.push_back(now); rep(i,E[now].size()) if(!reach[E[now][i].to]){ reach[E[now][i].to]=true; q.push(E[now][i].to); } } return res; } //for unweighted graph vector disBFS(int begin){ ds_prev.resize(A.size()); rep(i,A.size()) ds_prev[i]=i; dlast=begin; vector d(A.size()); bool reach[A.size()]={}; queue> q; q.push({begin,0}); reach[begin]=true; while(!q.empty()){ pair now=q.front(); q.pop(); d[now.fi]=now.se; rep(i,E[now.fi].size()) if(!reach[E[now.fi][i].to]){ reach[E[now.fi][i].to]=true; q.push({E[now.fi][i].to,now.se+E[now.fi][i].cost}); ds_prev[E[now.fi][i].to]=now.fi; } } return d; } vector disBFS_INF(int begin){ ds_prev.resize(A.size()); rep(i,A.size()) ds_prev[i]=i; dlast=begin; vector d(A.size(),LINF); d[begin]=0; bool reach[A.size()]={}; reach[begin]=true; queue> q; q.push({begin,0}); while(!q.empty()){ pair now=q.front(); q.pop(); d[now.fi]=now.se; rep(i,E[now.fi].size()) if(!reach[E[now.fi][i].to]){ reach[E[now.fi][i].to]=true; q.push({E[now.fi][i].to,now.se+E[now.fi][i].cost}); ds_prev[E[now.fi][i].to]=now.fi; } } return d; } // for tree vector diameter(){ //長さとパス(k個)の計k+1の長さのvectorを返す vector d1=disBFS(0); int far1=max_element(all(d1))-d1.begin(); vector d2=disBFS(far1); int far2=max_element(all(d2))-d2.begin(); vector res; res.push_back(*max_element(all(d2))); vector path=dk_short_path(far2); rep(i,path.size()) res.push_back(path[i]); return res; } bool lca_inited=false; lint root=0; vector> parent; vector depth; void lcadfs(lint v,lint p,lint d){ parent[0][v]=p; depth[v]=d; rep(i,E[v].size()) if(E[v][i].to!=p) lcadfs(E[v][i].to,v,d+1); } void lcainit(){ int V=A.size(); depth.resize(V); int log=0; while((1<depth[v]) swap(u,v); rep(k,parent.size()) if((depth[v]-depth[u])>>k&1) v=parent[k][v]; if(u==v) return u; reprev(k,parent.size()){ if(parent[k][u]!=parent[k][v]){ u=parent[k][u]; v=parent[k][v]; } } return parent[0][u]; } vector tree_path(lint s,lint t){ lint lc=lca(s,t); vector ps,pt; lint now=s; while(true){ if(now==lc) break; ps.push_back(now); now=parent[0][now]; } now=t; while(true){ pt.push_back(now); if(now==lc) break; now=parent[0][now]; } reverse(pt.begin(),pt.end()); ps.insert(ps.end(),pt.begin(),pt.end()); return ps; } void make_grid(vector S){ all_clear(); int n=S.size()*S[0].length(); A.resize(n); E.resize(n); reach.resize(n); dis.resize(n); esize=0; int H=S.size(),W=S[0].length(); rep(i,H) rep(j,W){ int now=i*W+j; if(S[i][j]=='#') continue; if(i>0) if(S[i-1][j]!='#') add_edge(now,now-W); if(i0) if(S[i][j-1]!='#') add_edge(now,now-1); if(j> N >> M; int S[M],T[M],D[M]; rep(i,M) cin >> S[i] >> T[i] >> D[i],S[i]--,T[i]--; lint lo=1,hi=2e9; while(hi-lo>1){ dsu uf(N); lint mid=(hi+lo)/2; rep(i,M) if(D[i]>=mid) uf.merge(S[i],T[i]); if(uf.same(0,N-1)) lo=mid; else hi=mid; } Graph G(N); rep(i,M) if(lo<=D[i]) G.add_edge_bi(S[i],T[i]); vector res=G.disBFS(0); cout << lo << " " << res[N-1] << endl; }