#include template inline bool chmin(T&a, T b){if(a > b){a = b; return true;}else{return false;}} template inline bool chmax(T&a, T b){if(a < b){a = b; return true;}else{return false;}} #define ll long long #define double long double #define rep(i,n) for(int i=0;i<(n);i++) #define REP(i,n) for(int i=1;i<=(n);i++) #define mod (ll)(1e9+7) #define inf (ll)(3e18+7) #define eps (double)(1e-9) #define pi (double) acos(-1) #define P pair #define PiP pair> #define all(x) x.begin(),x.end() #define rall(x) x.rbegin(),x.rend() using namespace std; struct edge{ int to, li; }; vector> G(100010); ll BFS(ll w, int n){ vector d(n, inf); d[0] = 0; queue que; que.push(0); while(!que.empty()){ ll v = que.front(); que.pop(); for(auto nv : G[v]){ if(nv.li < w)continue; if(chmin(d[nv.to], d[v]+1))que.push(nv.to); } } return d[n-1]; } int main() { int n, m; cin >> n >> m; rep(i, m){ int s, t, d; cin >> s >> t >> d; s--; t--; G[s].push_back({t, d}); G[t].push_back({s, d}); } ll ok = 0, ng = mod; while(ng - ok > 1){ ll mid = (ng + ok) / 2; if(BFS(mid, n) != inf)ok = mid; else ng = mid; } cout << ok << " "<< BFS(ok, n) << endl; }