#include #include using namespace std; using namespace atcoder; using ll = long long; using ld = long double; using mint = modint998244353; int main() { int n, m; cin >> n >> m; vector> edge(m); for (int i = 0; i < m; i++) { cin >> get<0>(edge[i]) >> get<1>(edge[i]) >> get<2>(edge[i]); } sort(edge.begin(), edge.end(), [&](auto a, auto b) { return get<2>(a) > get<2>(b); }); int w = 0; dsu uf(n); for (int i = 0; i < m; i++) { auto [s, t, d] = edge[i]; s--, t--; uf.merge(s, t); if (uf.same(0, n - 1)) { w = d; break; } } vector> g(n); for (int i = 0; i < m; i++) { auto [s, t, d] = edge[i]; s--, t--; if (w <= d) { g[s].push_back(t); g[t].push_back(s); } } vector dist(n, 1e18); vector vis(n, false); dist[0] = 0; vis[0] = true; queue que; que.push(0); while (!que.empty()) { int u = que.front(); que.pop(); for (int v: g[u]) { if (vis[v]) continue; if (dist[v] > dist[u] + 1) { vis[v] = true; dist[v] = dist[u] + 1; que.push(v); } } } cout << w << ' ' << dist[n - 1] << endl; return 0; }