#pragma region Macros #include #if defined(LOCAL) || defined(ONLINE_JUDGE) || defined(_DEBUG) #include #endif using namespace std; #define REP(i, n) for(int i=0, i##_len=(n); i=0; --i) #define FOR(i, n, m) for(int i=(m), i##_len=(n); ibool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (busing vec = vector; templateusing umap = unordered_map; templateusing uset = unordered_set; using ll = long long; using ld = long double; using P = pair; //using T = tuple; using vl = vec; #define fi first #define se second #define el endl constexpr ll INF = numeric_limits::max()/2-1; #pragma endregion #pragma region IOMacros template istream &operator>>(istream &stream, vec& o){REP(i, o.size())stream >> o[i];return stream;} template ostream &operator<<(ostream &stream, vec& objs){REP(i, objs.size())stream << objs[i] << " ";stream << el;return stream;} #define I(T, ...) ;T __VA_ARGS__;__i(__VA_ARGS__); void __i() {} template void __i(T&& o, Ts&&... args){cin >> o;__i(forward(args)...);} void O() {cout << el;} template void O(T&& o, Ts&&... args){cerr << o << " ";O(forward(args)...);} #pragma endregion void Main(); int main(){ std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(15); Main(); return 0; } #pragma region graph struct edge{ ll from, to, cost; bool operator<(const edge& r) const{return cost(const edge& r) const{return cost>r.cost;} }; struct graph{ ll V; vector > G; graph(ll n){ init(n); } void init(ll n){ V = n; G.resize(V); } // 無向グラフ void add_edge(ll s, ll t, ll cost = 1){ add_diedge(s, t, cost); add_diedge(t, s, cost); } // 有向グラフ void add_diedge(ll s, ll t, ll cost = 1){ if(s < 0 || t < 0 || s >= V || t >= V) return; G[s].push_back({s, t, cost}); } auto pos2d(ll height, ll width){ return [height, width](ll y, ll x){ return (y < 0 || y >= height || x < 0 || x >= width) ? -1 : y*width + x; }; } }; #pragma endregion // O(V+E) umap BFS(const graph& g, ll s, ll limit = INF){ vector d(g.V, INF); umap ret; d[s] = 0; queue

que; que.push({0, s}); ret[s] = 0; while(!que.empty()){ auto [c, v] = que.front(); que.pop(); if(d[v]l && limit>=l){ d[e.to] = l; que.push({d[e.to],e.to}); ret[e.to] = d[e.to]; } } } return ret; } // x∈[l, r] | f(x) = true となる最大のxを返す template ll binarySearch(ll l, ll r, Func f){ while(l < r){ const ll m = (l+r+1)/2; if(f(m)) l = m; else r = m-1; } return l; } void Main(){ I(ll, N, M); vec> A(M); REP(i, M){ I(ll, S, T, D); S--;T--; A[i] = {S, T, D}; } ll t = 0; ll x = binarySearch(0, 1e9, [&](ll m){ graph g(N); REP(i, M){ auto [S, T, D] = A[i]; if(m > D) continue; g.add_edge(S, T); } auto d = BFS(g, 0); if(d.find(N-1) != d.end()){ t = d[N-1]; return true; }else{ return false; } }); cout << x << " " << t << el; }