#define _USE_MATH_DEFINES #include using namespace std; #include #include #include namespace atcoder { struct dsu { public: dsu() : _n(0) {} explicit dsu(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; std::vector parent_or_size; }; } // namespace atcoder signed main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector> edges; for (int i = 0; i < m; i++) { int u, v, s; cin >> u >> v >> s; u--; v--; edges.push_back({u, v, s}); } int lo = 1, hi = 1e9 + 10; while (hi - lo > 1) { int mid = (lo + hi) / 2; atcoder::dsu uf(n); for (auto vv : edges) { int v = vv[0]; int u = vv[1]; int s = vv[2]; if (mid <= s) uf.merge(u, v); } if (uf.same(0, n - 1)) lo = mid; else hi = mid; } vector> g(n); for (auto vv : edges) { int v = vv[0]; int u = vv[1]; int s = vv[2]; if (s >= lo) { g[v].emplace_back(u); g[u].emplace_back(v); } } vector dist(n, -1); dist[0] = 0; vector que = {0}; for (int i = 0; i < (int) que.size(); i++) { int cur = que[i]; for (auto nbr : g[cur]) { if (dist[nbr] == -1) { dist[nbr] = dist[cur] + 1; que.emplace_back(nbr); } } } cout << lo << " " << dist[n - 1] << endl; return 0; }