#include using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) begin(v),end(v) template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = pair; constexpr ll INF = 1ll<<30; constexpr ll longINF = 1ll<<60; constexpr ll MOD = 1000000007; constexpr bool debug = false; //---------------------------------// int main() { int N, M; cin >> N >> M; vector> g(N); REP(i, M) { int s, t, d; cin >> s >> t >> d; --s; --t; g[s].emplace_back(t, d); g[t].emplace_back(s, d); } vector dist(N, -INF); priority_queue, greater> pq; dist[0] = INF; pq.emplace(INF, 0); while (!pq.empty()) { auto [d, u] = pq.top(); pq.pop(); if (dist[u] != d) continue; for (auto [v, dis] : g[u]) if (chmax(dist[v], min(d, dis))) pq.emplace(dist[v], v); } int mx = dist[N - 1]; dist.assign(N, INF); queue que; dist[0] = 0; que.emplace(0); while (!que.empty()) { int u = que.front(); que.pop(); for (auto [v, dis] : g[u]) if (dis >= mx && chmin(dist[v], dist[u] + 1)) que.emplace(v); } cout << mx << " " << dist[N - 1] << endl; }