// Input validator #include #include #include #include #include #include using namespace std; #include #include "testlib.h" int main(int argc, char **argv) { registerValidation(argc, argv); const int N = inf.readInt(2, 100000); inf.readSpace(); const int M = inf.readInt(N - 1, 100000); inf.readEoln(); atcoder::dsu dsu_validator(N); vector> edges; for (int e = 0; e < M; e++) { int s = inf.readInt(1, N); inf.readSpace(); int t = inf.readInt(1, N); inf.readSpace(); int d = inf.readInt(1, 1000000000); inf.readEoln(); assert(s != t); edges.emplace_back(d, s - 1, t - 1); dsu_validator.merge(s - 1, t - 1); } inf.readEof(); assert(dsu_validator.size(0) == N); sort(edges.rbegin(), edges.rend()); atcoder::dsu uf(N); int ret = 1 << 30; for (auto [d, s, t] : edges) { if (!uf.same(0, N - 1)) ret = min(ret, d); uf.merge(s, t); } vector> to(N); for (auto [w, s, t] : edges) { if (w >= ret) to[s].push_back(t), to[t].push_back(s); } vector dist(N, 1 << 30); dist[0] = 0; queue q; q.push(0); while (!q.empty()) { const int now = q.front(); q.pop(); for (auto nxt : to[now]) { if (dist[nxt] > dist[now] + 1) { dist[nxt] = dist[now] + 1; q.push(nxt); } } } cout << ret << ' ' << dist.back() << '\n'; }