package yukicoder;

import java.util.Scanner;
import java.util.List;
import java.util.ArrayList;

public class No1473_2 {
	
	private static class Q {
		int i;
		int d;
		public Q(int i, int d) {
			this.i = i;
			this.d = d;
		}
	}
	
	private static int n;
	private static List<List<Q>> V;

	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		n = scan.nextInt();
		int m = scan.nextInt();
		V = new ArrayList<List<Q>>();
		for (int i = 0; i < n; i++) {
			V.add(new ArrayList<Q>());
		}
		int max_d = 0;
		int min_d = Integer.MAX_VALUE;
		for (int i=0; i < m; i++) {
			int s = scan.nextInt() - 1;
			int t = scan.nextInt() - 1;
			int d = scan.nextInt();
			V.get(s).add(new Q(t, d));
			V.get(t).add(new Q(s, d));
			max_d = Math.max(max_d,  d);
			min_d = Math.min(min_d,  d);
		}
		scan.close();
		Q l = new Q(min_d - 1, 0), r = new Q(max_d + 1, 0);
		while (r.i - l.i > 1) {
			int mid = (r.i + l.i) / 2;
			int c = bfs(mid);
			if (c == 0) {
				r.i = mid;
				r.d = 0;
			} else {
				l.i = mid;
				l.d = c;
			}
		}
		System.out.println(String.format("%d %d", l.i,l.d));
	}
	
	private static int bfs(int w) {
		boolean[] B = new boolean[n];
		List<Q> q = new ArrayList<Q>();
		q.add(new Q(0, 0));
		B[0] = true;
		while (q.size() > 0) {
			Q v = q.remove(0);
			if (v.i == n-1) {
				return v.d;
			}
			B[v.i] = true;
			for (Q i : V.get(v.i)) {
				if (i.d >= w && !B[i.i]) {
					q.add(new Q (i.i, v.d + 1));
				}
			}
		}
		return 0;
	}

}