#line 1 "/workspaces/compro/lib/template.hpp" #line 1 "/workspaces/compro/lib/io/vector.hpp" #include #include #ifndef IO_VECTOR #define IO_VECTOR template std::ostream &operator<<(std::ostream &out, const std::vector &v) { int size = v.size(); for (int i = 0; i < size; i++) { std::cout << v[i]; if (i != size - 1) std::cout << " "; } return out; } template std::istream &operator>>(std::istream &in, std::vector &v) { for (auto &el : v) { std::cin >> el; } return in; } #endif #line 4 "/workspaces/compro/lib/template.hpp" #include #define REP(i, n) for (int i = 0; i < n; i++) #define FOR(i, m, n) for (int i = m; i < n; i++) #define ALL(v) (v).begin(), (v).end() #define coutd(n) cout << fixed << setprecision(n) #define ll long long int #define vl vector #define vi vector #define MM << " " << using namespace std; template void chmin(T &a, T b) { if (a > b) a = b; } template void chmax(T &a, T b) { if (a < b) a = b; } // 重複を消す。計算量はO(NlogN) template void unique(std::vector &v) { std::sort(v.begin(), v.end()); v.erase(std::unique(v.begin(), v.end()), v.end()); } #line 2 "main.cpp" std::pair solve(long long n, int m, const std::vector &s, const std::vector &t, const std::vector &d) { ll ng = 0; REP(i, m) { chmax(ng, d[i] + 1); } ll ok = 0; auto f = [&](ll x) { vector> g(n); REP(i, m) { if (x > d[i]) continue; g[s[i]].push_back(t[i]); g[t[i]].push_back(s[i]); } queue> q; q.push({0, 0}); vector reached(n, false); while (!q.empty()) { auto [v, num] = q.front(); q.pop(); if (reached[v]) continue; if (v == n - 1) return num; reached[v] = true; for (const auto &u : g[v]) { q.push({u, num + 1}); } } return -1; }; while (abs(ok - ng) > 1) { ll mid = (ok + ng) / 2; if (f(mid) != -1) { ok = mid; } else { ng = mid; } } return {ok, f(ok)}; } // generated by online-judge-template-generator v4.7.1 (https://github.com/online-judge-tools/template-generator) int main() { int n; int m; std::cin >> n >> m; std::vector s(m), t(m), d(m); for (int i = 0; i < m; ++i) { std::cin >> s[i] >> t[i] >> d[i]; s[i]--; t[i]--; } auto [c, e] = solve(n, m, s, t, d); std::cout << c << ' ' << e << std::endl; return 0; }