#include <bits/stdc++.h>
using namespace std;
 
#define lli long long int
#define REP(i,s,n) for(lli i=s;i<n;i++)
#define INF (1LL<<62)
#define DEBUG 0
#define mp(a,b) make_pair(a,b)
#define SORT(V) sort(V.begin(),V.end())
#define PI (3.141592653589794)
#define TO_STRING(VariableName) # VariableName
#define LOG(x) if(DEBUG)cout<<TO_STRING(x)<<"="<<x<<" "<<endl;
#define LOG2(x,y) if(DEBUG)cout<<TO_STRING(x)<<"="<<x<<" "<<TO_STRING(y)<<"="<<y<<endl;
#define LOG3(x,y,z) if(DEBUG)cout<<TO_STRING(x)<<"="<<x<<" "<<TO_STRING(y)<<"="<<y<<" "<<TO_STRING(z)<<"="<<z<<endl;
#define LOG4(w,x,y,z) if(DEBUG)cout<<TO_STRING(w)<<"="<<w<<" "<<TO_STRING(x)<<"="<<x<<" "<<TO_STRING(y)<<"="<<y<<" "<<TO_STRING(z)<<"="<<z<<endl;
 
template<class T>bool chmax(T & a, const T & b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }

vector<pair<lli,lli>> v[100100];

bool vis[100100];
lli dist[100100];

void solve(){

	lli n,m;
	cin>>n>>m;

	REP(i,0,m){
		lli s,t,d;
		cin>>s>>t>>d;
		s--,t--;
		v[s].push_back({t,d});
		v[t].push_back({s,d});
	}

	lli small = 0,large = 1000000010;

	lli ans = 0;
	lli ansD = 0;
	while(small+1<large){
		lli middle = (small+large)/2;

		lli start = 0;
		REP(i,0,n){
			vis[i]=false;
			dist[i]=INF;
		}
		vis[0]=true;
		dist[0]=0;
		queue<lli> q;
		q.push(0);
		while(q.size()){
			lli now = q.front();
			q.pop();
			if(now == n-1){
				break;
			}

			for(auto e:v[now]){
				if(vis[e.first])continue;
				if(e.second < middle)continue;
				dist[e.first] = dist[now]+1;
				vis[e.first] = true;
				q.push(e.first);
			}
		}
		if(vis[n-1]){
			if(ans < middle){
				ans = middle;
				ansD = dist[n-1];
			}
			small = middle;
		}
		else{
			large = middle;
		}
	}
	cout<<ans<<" "<<ansD<<endl;


}
 
int main(){
 
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);
 
	lli t = 1;
	//cin>>t;
	REP(i,0,t)solve();
 
	return 0;
}