/* Code for problem E by cookiedoth Generated 09 Apr 2021 at 04.00 PM █▒▒▒▒▒▒▒▒▒ 10% ███▒▒▒▒▒▒▒ 30% █████▒▒▒▒▒ 50% ███████▒▒▒ 70% ██████████ 100% z_z =_= ¯\_(ツ)_/¯ */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define ll long long #define ld long double #define null NULL #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define debug(a) cerr << #a << " = " << a << endl #define forn(i, n) for (int i = 0; i < n; ++i) #define length(a) (int)a.size() using namespace std; template int chkmax(T &a, T b) { if (b > a) { a = b; return 1; } return 0; } template int chkmin(T &a, T b) { if (b < a) { a = b; return 1; } return 0; } template void output(iterator begin, iterator end, ostream& out = cerr) { while (begin != end) { out << (*begin) << " "; begin++; } out << endl; } template void output(T x, ostream& out = cerr) { output(x.begin(), x.end(), out); } void fast_io() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } const int INF = 1e9; int n, m; vector>> g; vector d; void read() { cin >> n >> m; g.resize(n); d.resize(n); for (int i = 0; i < m; ++i) { int u, v, c; cin >> u >> v >> c; u--; v--; g[u].emplace_back(v, c); g[v].emplace_back(u, c); } } int bfs(int w0) { queue q; fill(all(d), INF); d[0] = 0; q.push(0); while (!q.empty()) { int v = q.front(); q.pop(); for (auto [v1, w] : g[v]) { if (w >= w0 && chkmin(d[v1], d[v] + 1)) { q.push(v1); } } } return d[n - 1]; } signed main() { fast_io(); read(); int l = 0, r = INF; while (l < r) { int mid = (l + r) >> 1; if (bfs(mid + 1) != INF) { l = mid + 1; } else { r = mid; } } cout << l << ' ' << bfs(l) << '\n'; }