#![allow(unused_imports, unused_macros)]

use kyoproio::*;
use std::{
    collections::*,
    io::{self, prelude::*},
    iter, mem,
};

fn run<I: Input, O: Write>(mut kin: I, mut out: O) {
    let (n, m): (usize, usize) = kin.parse();
    let mut g = LabeledGraph::<i32>::builder(n + 1);
    g.extend_bi_edges(kin.parse_iter().take(m));
    let g = g.build();
    let mut l = 0;
    let mut r = 1e9 as i32 + 1;
    let mut min = 0;
    let mut que = VecDeque::new();
    let mut dist = vec![0; n + 1];
    while r - l > 1 {
        let h = (l + r) / 2;
        que.clear();
        que.push_back(1);
        for d in &mut dist {
            *d = 1 << 29;
        }
        dist[1] = 0;
        while let Some(u) = que.pop_front() {
            if u == n {
                break;
            }
            for &(v, d) in &g[u] {
                if h <= d && dist[v] >= 1 << 29 {
                    dist[v] = dist[u] + 1;
                    que.push_back(v);
                }
            }
        }
        if dist[n] < 1 << 29 {
            min = dist[n];
            l = h;
        } else {
            r = h;
        }
    }
    wln!(out, "{} {}", l, min);
}

use std::{fmt, mem::ManuallyDrop, ops};
pub struct Graph(LabeledGraph<()>);
impl Graph {
    pub fn builder(n: usize) -> GraphBuilder {
        GraphBuilder(LabeledGraph::builder(n))
    }
    pub fn len(&self) -> usize {
        self.0.len()
    }
    pub fn edges(&self) -> Edges {
        Edges(self.0.edges())
    }
}
impl ops::Index<usize> for Graph {
    type Output = [usize];
    fn index(&self, u: usize) -> &Self::Output {
        // https://rust-lang.github.io/unsafe-code-guidelines/layout/structs-and-tuples.html#structs-with-1-zst-fields
        unsafe { &*(self.0.index(u) as *const _ as *const _) }
    }
}
impl ops::IndexMut<usize> for Graph {
    fn index_mut(&mut self, u: usize) -> &mut Self::Output {
        unsafe { &mut *(self.0.index_mut(u) as *mut _ as *mut _) }
    }
}
impl fmt::Debug for Graph {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_map()
            .entries((0..self.len()).map(|u| (u, &self[u])))
            .finish()
    }
}
pub struct Edges<'a>(LabeledEdges<'a, ()>);
impl<'a> Iterator for Edges<'a> {
    type Item = (usize, usize);
    fn next(&mut self) -> Option<Self::Item> {
        self.0.next().map(|(u, v, _)| (u, v))
    }
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.0.size_hint()
    }
}
pub struct GraphBuilder(LabeledGraphBuilder<()>);
impl GraphBuilder {
    pub fn edge(&mut self, u: usize, v: usize) {
        self.0.edge(u, v, ());
    }
    pub fn bi_edge(&mut self, u: usize, v: usize) {
        self.0.bi_edge(u, v, ());
    }
    pub fn extend_bi_edges<I: IntoIterator<Item = (usize, usize)>>(&mut self, iter: I) {
        self.0
            .extend_bi_edges(iter.into_iter().map(|(u, v)| (u, v, ())))
    }
    pub fn build(self) -> Graph {
        Graph(self.0.build())
    }
}
impl Extend<(usize, usize)> for GraphBuilder {
    fn extend<I: IntoIterator<Item = (usize, usize)>>(&mut self, iter: I) {
        self.0.extend(iter.into_iter().map(|(u, v)| (u, v, ())))
    }
}
pub struct LabeledGraph<T> {
    edges: Box<[(usize, T)]>,
    heads: Box<[usize]>,
}
impl<T> LabeledGraph<T> {
    pub fn builder(n: usize) -> LabeledGraphBuilder<T> {
        LabeledGraphBuilder {
            nodes: Vec::new(),
            heads: vec![!0; n],
        }
    }
    pub fn len(&self) -> usize {
        self.heads.len() - 1
    }
    pub fn edges(&self) -> LabeledEdges<T> {
        LabeledEdges {
            g: self,
            u: 0,
            i: 0,
        }
    }
}
impl<T> ops::Index<usize> for LabeledGraph<T> {
    type Output = [(usize, T)];
    fn index(&self, u: usize) -> &Self::Output {
        &self.edges[self.heads[u]..self.heads[u + 1]]
    }
}
impl<T> ops::IndexMut<usize> for LabeledGraph<T> {
    fn index_mut(&mut self, u: usize) -> &mut Self::Output {
        &mut self.edges[self.heads[u]..self.heads[u + 1]]
    }
}
impl<T: fmt::Debug> fmt::Debug for LabeledGraph<T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_map()
            .entries((0..self.len()).map(|u| (u, &self[u])))
            .finish()
    }
}
pub struct LabeledEdges<'a, T> {
    g: &'a LabeledGraph<T>,
    u: usize,
    i: usize,
}
impl<'a, T> Iterator for LabeledEdges<'a, T> {
    type Item = (usize, usize, &'a T);
    fn next(&mut self) -> Option<Self::Item> {
        let (v, l) = self.g.edges.get(self.i)?;
        while self.g.heads[self.u + 1] == self.i {
            self.u += 1;
        }
        self.i += 1;
        Some((self.u, *v, l))
    }
    fn size_hint(&self) -> (usize, Option<usize>) {
        let len = self.g.edges.len();
        (len, Some(len))
    }
}
pub struct LabeledGraphBuilder<T> {
    nodes: Vec<(usize, ManuallyDrop<T>, usize)>,
    heads: Vec<usize>,
}
impl<T> LabeledGraphBuilder<T> {
    pub fn edge(&mut self, u: usize, v: usize, l: T) {
        self.nodes.push((v, ManuallyDrop::new(l), self.heads[u]));
        self.heads[u] = self.nodes.len() - 1;
    }
    pub fn bi_edge(&mut self, u: usize, v: usize, l: T)
    where
        T: Clone,
    {
        self.edge(u, v, l.clone());
        self.edge(v, u, l);
    }
    pub fn extend_bi_edges<I: IntoIterator<Item = (usize, usize, T)>>(&mut self, iter: I)
    where
        T: Clone,
    {
        for (u, v, l) in iter {
            self.bi_edge(u, v, l);
        }
    }
    pub fn build(mut self) -> LabeledGraph<T> {
        let mut edges = Vec::with_capacity(self.nodes.len());
        let mut heads = Vec::with_capacity(self.heads.len() + 1);
        for &(mut h) in &self.heads {
            heads.push(edges.len());
            while let Some((v, l, next)) = self.nodes.get_mut(h) {
                unsafe {
                    edges.push((*v, ManuallyDrop::take(l)));
                }
                h = *next;
            }
        }
        heads.push(edges.len());
        LabeledGraph {
            edges: edges.into(),
            heads: heads.into(),
        }
    }
}
impl<T> Extend<(usize, usize, T)> for LabeledGraphBuilder<T> {
    fn extend<I: IntoIterator<Item = (usize, usize, T)>>(&mut self, iter: I) {
        for (u, v, l) in iter {
            self.edge(u, v, l);
        }
    }
}



// -----------------------------------------------------------------------------
fn main() -> io::Result<()> {
    std::thread::Builder::new()
        .stack_size(1 << 26)
        .spawn(|| {
            run(
                Scanner::new(io::stdin().lock()),
                io::BufWriter::new(io::stdout().lock()),
            )
        })?
        .join()
        .unwrap();
    Ok(())
}

#[macro_export]
macro_rules! w {
    ($($arg:tt)*) => { write!($($arg)*).unwrap(); }
}
#[macro_export]
macro_rules! wln {
    ($dst:expr $(, $($arg:tt)*)?) => {{
        writeln!($dst $(, $($arg)*)?).unwrap();
        #[cfg(debug_assertions)]
        $dst.flush().unwrap();
    }}
}
#[macro_export]
macro_rules! w_iter {
    ($dst:expr, $fmt:expr, $iter:expr, $delim:expr) => {{
        let mut first = true;
        for elem in $iter {
            if first {
                w!($dst, $fmt, elem);
                first = false;
            } else {
                w!($dst, concat!($delim, $fmt), elem);
            }
        }
    }};
    ($dst:expr, $fmt:expr, $iter:expr) => {
        w_iter!($dst, $fmt, $iter, " ")
    };
}
#[macro_export]
macro_rules! w_iter_ln {
    ($dst:expr, $($t:tt)*) => {{
        w_iter!($dst, $($t)*);
        wln!($dst);
    }}
}
#[macro_export]
macro_rules! e {
    ($($t:tt)*) => {
        #[cfg(debug_assertions)]
        eprint!($($t)*)
    }
}
#[macro_export]
macro_rules! eln {
    ($($t:tt)*) => {
        #[cfg(debug_assertions)]
        eprintln!($($t)*)
    }
}
#[macro_export]
macro_rules! __tstr {
    ($h:expr $(, $t:expr)+) => { concat!(__tstr!($($t),+) , ", {} = {:?}") };
    ($h:expr) => { "[{}:{}] {} = {:?}" };
    () => { "[{}:{}]" }
}
#[macro_export]
macro_rules! d {
    ($($a:expr),*) => { eln!(__tstr!($($a),*), file!(), line!(), $(stringify!($a), $a),*) };
}

pub mod kyoproio {
    use std::{
        fmt::Display,
        io::{self, prelude::*},
        iter::FromIterator,
        marker::PhantomData,
        mem::{self, MaybeUninit},
        str,
    };

    pub trait Input {
        fn bytes(&mut self) -> &[u8];
        fn str(&mut self) -> &str {
            str::from_utf8(self.bytes()).unwrap()
        }
        fn parse<T: Parse>(&mut self) -> T {
            T::parse(self)
        }
        fn parse_iter<T: Parse>(&mut self) -> ParseIter<T, Self> {
            ParseIter(self, PhantomData)
        }
        fn collect<T: Parse, B: FromIterator<T>>(&mut self, n: usize) -> B {
            self.parse_iter().take(n).collect()
        }
        fn map<T: Parse, U, F: FnMut(T) -> U, B: FromIterator<U>>(&mut self, n: usize, f: F) -> B {
            self.parse_iter().take(n).map(f).collect()
        }
    }
    impl<I: Input> Input for &mut I {
        fn bytes(&mut self) -> &[u8] {
            (**self).bytes()
        }
    }
    pub struct Scanner<R> {
        src: R,
        buf: Vec<u8>,
        pos: usize,
        len: usize,
    }
    impl<R: Read> Scanner<R> {
        pub fn new(src: R) -> Self {
            Self {
                src,
                buf: vec![0; 1 << 16],
                pos: 0,
                len: 0,
            }
        }
        fn read(&mut self) -> usize {
            if self.pos > 0 {
                self.buf.copy_within(self.pos..self.len, 0);
                self.len -= self.pos;
                self.pos = 0;
            } else if self.len >= self.buf.len() {
                self.buf.resize(2 * self.buf.len(), 0);
            }
            let n = self.src.read(&mut self.buf[self.len..]).unwrap();
            self.len += n;
            assert!(self.len <= self.buf.len());
            n
        }
    }
    impl<R: Read> Input for Scanner<R> {
        fn bytes(&mut self) -> &[u8] {
            loop {
                while let Some(d) = unsafe { self.buf.get_unchecked(self.pos..self.len) }
                    .iter()
                    .position(u8::is_ascii_whitespace)
                {
                    let p = self.pos;
                    self.pos += d + 1;
                    if d > 0 {
                        return unsafe { self.buf.get_unchecked(p..p + d) };
                    }
                }
                if self.read() == 0 {
                    let p = self.pos;
                    self.pos = self.len;
                    return unsafe { self.buf.get_unchecked(p..self.len) };
                }
            }
        }
    }
    pub struct ParseIter<'a, T, I: ?Sized>(&'a mut I, PhantomData<*const T>);
    impl<'a, T: Parse, I: Input + ?Sized> Iterator for ParseIter<'a, T, I> {
        type Item = T;
        fn next(&mut self) -> Option<T> {
            Some(self.0.parse())
        }
        fn size_hint(&self) -> (usize, Option<usize>) {
            (!0, None)
        }
    }
    pub trait Parse: Sized {
        fn parse<I: Input + ?Sized>(src: &mut I) -> Self;
    }
    impl Parse for Vec<u8> {
        fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
            src.bytes().to_owned()
        }
    }
    macro_rules! from_str {
        ($($T:ty)*) => {$(
            impl Parse for $T {
                fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
                    src.str().parse::<$T>().unwrap()
                }
            }
        )*}
    }
    from_str!(String char bool f32 f64);
    macro_rules! int {
        ($($I:ty: $U:ty)*) => {$(
            impl Parse for $I {
                fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
                    let f = |s: &[u8]| s.iter().fold(0, |x, b| 10 * x + (b & 0xf) as $I);
                    let s = src.bytes();
                    if let Some((&b'-', t)) = s.split_first() { -f(t) } else { f(s) }
                }
            }
            impl Parse for $U {
                fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
                    src.bytes().iter().fold(0, |x, b| 10 * x + (b & 0xf) as $U)
                }
            }
        )*}
    }
    int!(isize:usize i8:u8 i16:u16 i32:u32 i64:u64 i128:u128);
    macro_rules! tuple {
        ($H:ident $($T:ident)*) => {
            impl<$H: Parse, $($T: Parse),*> Parse for ($H, $($T),*) {
                fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
                    ($H::parse(src), $($T::parse(src)),*)
                }
            }
            tuple!($($T)*);
        };
        () => {}
    }
    tuple!(A B C D E F G);
    macro_rules! array {
        ($($N:literal)*) => {$(
            impl<T: Parse> Parse for [T; $N] {
                fn parse<I: Input + ?Sized>(src: &mut I) -> Self {
                    unsafe {
                        let mut arr: [MaybeUninit<T>; $N] = MaybeUninit::uninit().assume_init();
                        for elem in &mut arr {
                            *elem = MaybeUninit::new(src.parse());
                        }
                        mem::transmute_copy(&arr)
                    }
                }
            }
        )*}
    }
    array!(1 2 3 4 5 6 7 8);
}