#include #include #include using namespace std; using P = pair; constexpr int INF = 1001001001; int isReachable(const vector> &G, int obakeW){ vector dist(G.size(), INF); queue Q; Q.push(0); dist[0] = 0; while(Q.size()){ int cur = Q.front(); Q.pop(); for(auto &p: G[cur]){ if(p.second >= obakeW && dist[p.first] == INF){ dist[p.first] = dist[cur]+1; Q.push(p.first); } } } //cerr << limWeight << " " << dist[0] << " " << dist[1] << " " << dist[2] << endl; return dist[G.size()-1]; } int main(){ int n, m; cin >> n >> m; vector> G(n); for(int i = 0; i < m; i++){ int s, t, d; cin >> s >> t >> d; s--; t--; G[s].push_back(make_pair(t, d)); G[t].push_back(make_pair(s, d)); } int ac = 0; int wa = INF; while(wa-ac > 1){ int mid = (wa+ac)/2; int res = isReachable(G, mid); if(res == INF) wa = mid; else ac = mid; } cout << ac << " " << isReachable(G, ac) << endl; return 0; }