#include using namespace std; struct iofast_t { iofast_t() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); } } iofast; struct uns_t {} uns; template auto vec(Element init, Head arg, Args ...args) { if constexpr (sizeof...(Args) == 0) return std::vector(arg, init); else return std::vector(arg, vec(init, args...)); } template auto vec(uns_t, Head arg, Args ...args) { return vec(Element(), arg, args...); } template > T &chmin(T &l, T r, Compare &&f = less()) { return l = min(l, r, f); } template > T &chmax(T &l, T r, Compare &&f = less()) { return l = max(l, r, f); } int main() { int n, m; cin >> n >> m; auto g = vec>(uns, n, 0); for (int i = 0; i < n; ++i) { int s, t, d; cin >> s >> t >> d; --s; --t; g[s].emplace_back(t, d); g[t].emplace_back(s, d); } auto check = [&](int w) { auto dist = vec(-1, n); queue que; dist[0] = 0; que.push(0); while (!empty(que)) { auto c = que.front(); que.pop(); for (auto [v, d] : g[c]) { if (d < w || dist[v] != -1) continue; dist[v] = dist[c] + 1; que.push(v); } } return dist[n - 1]; }; int64_t left = 0, right = 1000000000 + 1; while (1 < right - left) { auto mid = left + (right - left) / 2; if (0 <= check(mid)) { left = mid; } else { right = mid; } } cout << left << ' ' << check(left) << endl; }