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][2];
		List<Integer> fw = new ArrayList<Integer>();
		List<Integer> bw = new ArrayList<Integer>();
		fw.add(0);
		bw.add(n-1);
		int depth = 0;
		while (true) {
			List<Integer> newfw = new ArrayList<Integer>();
			for (int i : fw) {
				B[i][0] = true;
				V.get(i).sort((a,b)-> b.d - a.d);
				for (Q n : V.get(i)) {
					if (n.d >= w ) {
						if (B[n.i][1]) {
							return depth;
						}
						if (!B[n.i][0]) {
							newfw.add(n.i);
						}
					} else {
						break;
					}
				}
			}
			if (newfw.isEmpty()) {
				depth = 0;
				break;
			}
			fw = newfw;
			depth++;
			List<Integer> newbw = new ArrayList<Integer>();
			for (int i : bw) {
				B[i][1] = true;
				V.get(i).sort((a,b)-> b.d - a.d);
				for (Q n : V.get(i)) {
					if (n.d >= w ) {
						if (B[n.i][0]) {
							return depth;
						}
						if (!B[n.i][1]) {
							newbw.add(n.i);
						}
					} else {
						break;
					}
				}
			}
			if (newbw.isEmpty()) {
				depth = 0;
				break;
			}
			bw = newbw;
			depth++;
		}
		return depth;
	}

}