#include "bits/stdc++.h" #define MOD 1000000007 #define rep(i, n) for(ll i=0; i < (n); i++) #define rrep(i, n) for(ll i=(n)-1; i >=0; i--) #define ALL(v) v.begin(),v.end() #define rALL(v) v.rbegin(),v.rend() #define FOR(i, j, k) for(ll i=j;i llvec; typedef vector dvec; typedef pair P; typedef long double ld; struct edge{ll x, c;}; ll W; struct dijkstra{ ll N; llvec d; vector> e; dijkstra(ll n){ N = n; //d = llvec(N, 1e18); e = vector>(N); } void add_edge(ll from, ll to, ll cost){ e[from].push_back({to, cost}); } void run(ll start){ priority_queue, greater

> que; que.push({0, start}); d = llvec(N, 1e18); d[start]=0; while(!que.empty()){ P q = que.top();que.pop(); ll dc = q.first; ll x = q.second; if(dc>d[x]){ continue; }else{ for(auto ip: e[x]){ if(W>ip.c)continue; if(d[ip.x]<=d[x]+1){ continue; }else{ d[ip.x]= d[x]+1; que.push({d[ip.x], ip.x}); } } } } } }; /************************************** ** A main function starts from here ** ***************************************/ int main(){ ll N, M; cin >> N >> M; dijkstra dijk(N); rep(i, M){ ll a, b, c; cin >> a >> b >> c; a--;b--; dijk.add_edge(a, b, c); dijk.add_edge(b, a, c); } ll ok = 0; ll ng = 1e18; while(abs(ok-ng)>1){ W =(ok+ng)/2; dijk.run(0); if(dijk.d[N-1]<1e18){ ok = W; }else{ ng = W; } } W = ok; dijk.run(0); cout << W << " " << dijk.d.back()<