#include #define REP(i, n) for (int i = 0; (i) < (int)(n); ++(i)) #define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++(i)) #define REP_R(i, n) for (int i = (int)(n)-1; (i) >= 0; --(i)) #define REP3R(i, m, n) for (int i = (int)(n)-1; (i) >= (int)(m); --(i)) #define ALL(x) ::std::begin(x), ::std::end(x) using namespace std; template using reversed_priority_queue = priority_queue, greater >; pair solve(int n, int m, const vector& s, const vector& t, const vector& d) { vector > > g(n); REP (i, m) { g[s[i]].emplace_back(t[i], d[i]); g[t[i]].emplace_back(s[i], d[i]); } // Dijkstra 1 int64_t w; { vector dist(n, INT_MIN); priority_queue > que; dist[0] = INT_MAX; que.emplace(INT_MAX, 0); while (not que.empty()) { auto [dist_x, x] = que.top(); que.pop(); if (dist_x < dist[x]) { continue; } for (auto [y, c] : g[x]) { if (dist[y] < min(dist_x, c)) { dist[y] = min(dist_x, c); que.emplace(dist[y], y); } } } w = dist[n - 1]; } // Dijkstra 2 int cnt; { vector dist(n, INT_MAX); reversed_priority_queue > que; dist[0] = 0; que.emplace(0, 0); while (not que.empty()) { auto [dist_x, x] = que.top(); que.pop(); if (dist[x] < dist_x) { continue; } for (auto [y, c] : g[x]) { if (c < w) { continue; } if (dist_x + 1 < dist[y]) { dist[y] = dist_x + 1; que.emplace(dist[y], y); } } } cnt = dist[n - 1]; } return {w, cnt}; } // generated by oj-template v4.7.2 (https://github.com/online-judge-tools/template-generator) int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); constexpr char endl = '\n'; int n; int m; cin >> n >> m; vector s(m), t(m); vector d(m); REP (i, m) { cin >> s[i] >> t[i] >> d[i]; -- s[i]; -- t[i]; } auto [c, e] = solve(n, m, s, t, d); cout << c << ' ' << e << endl; return 0; }