use std::collections::BinaryHeap;
use std::cmp::Reverse;

const INF: u32 = 1 << 30;

fn run<'a, I: Iterator<Item = &'a str>>(mut scanner: I) {
    macro_rules! scan {
        ([$t:tt; $n:expr]) => ((0..$n).map(|_| scan!($t)).collect::<Vec<_>>());
        (($($t:tt),*)) => (($(scan!($t)),*));
        ([$($t:tt),*]) => ([$(scan!($t)),*]);
        (Usize1) => (scan!(usize) - 1);
        (Bytes) => (scan!(String).into_bytes());
        ($t:ty) => (scanner.next().unwrap().parse::<$t>().unwrap());
    }
    macro_rules! input {
        ($($($v:ident)* : $t:tt),* $(,)?) => ($(let $($v)* = scan!($t);)*);
    }
    
    input! {
        n: usize, m: usize,
    }

    let mut g = vec![vec![]; n];
    for _ in 0..m {
        input! {
            s: Usize1, t: Usize1, d: u32,
        }

        g[s].push((t, d));
        g[t].push((s, d));
    }

    let (mut l, mut r) = (0, INF);
    while r - l > 1 {
        let w = (l + r) / 2;

        let mut stack = Vec::new();
        stack.push(0);
        let mut used = vec![false; n];
        used[0] = true;
        while let Some(from) = stack.pop() {
            for &(to, d) in &g[from] {
                if w > d || used[to] { continue; }
                stack.push(to);
                used[to] = true;
            }
        }

        if *used.last().unwrap() {
            l = w;
        } else {
            r = w;
        }
    }

    let w = l;

    let mut dist = vec![INF; n];
    let mut heap = BinaryHeap::new();
    dist[0] = 0;
    heap.push((Reverse(0), 0));
    while let Some((Reverse(cost), from)) = heap.pop() {
        if dist[from] < cost { continue; }
        for &(to, d) in &g[from] {
            if w > d { continue; }
            let next_cost = cost + 1;
            if next_cost < dist[to] {
                dist[to] = next_cost;
                heap.push((Reverse(next_cost), to));
            }
        }
    }

    println!("{} {}", w, dist.last().unwrap());
}

fn main() {
    let ref mut buf = Vec::new();
    std::io::Read::read_to_end(&mut std::io::stdin(), buf).ok();
    run(std::str::from_utf8(buf).unwrap().split_whitespace());
}