#![allow(unused_imports, unused_macros, dead_code)]

macro_rules! min {
    (.. $x:expr) => {{
        let mut it = $x.iter();
        it.next().map(|z| it.fold(z, |x, y| min!(x, y)))
    }};
    ($x:expr) => ($x);
    ($x:expr, $($ys:expr),*) => {{
        let t = min!($($ys),*);
        if $x < t { $x } else { t }
    }}
}
macro_rules! max {
    (.. $x:expr) => {{
        let mut it = $x.iter();
        it.next().map(|z| it.fold(z, |x, y| max!(x, y)))
    }};
    ($x:expr) => ($x);
    ($x:expr, $($ys:expr),*) => {{
        let t = max!($($ys),*);
        if $x > t { $x } else { t }
    }}
}


macro_rules! ewriteln {
    ($($args:expr),*) => { let _ = writeln!(&mut std::io::stderr(), $($args),*); };
}
macro_rules! trace {
    ($x:expr) => { ewriteln!(">>> {} = {:?}", stringify!($x), $x) };
    ($($xs:expr),*) => { trace!(($($xs),*)) }
}
macro_rules! put {
    (.. $x:expr) => {{
        let mut it = $x.iter();
        if let Some(x) = it.next() { print!("{}", x); }
        for x in it { print!(" {}", x); }
        println!("");
    }};
    ($x:expr) => { println!("{}", $x) };
    ($x:expr, $($xs:expr),*) => { print!("{} ", $x); put!($($xs),*) }
}

const M: i64 = 1_000_000_007;

fn main() {
    let mut sc = Scanner::new();
    let n: usize = sc.cin();
    let m: usize = sc.cin();
    let mut g = vec![vec![]; n];
    for _ in 0..m {
        let s = sc.cin::<usize>() - 1;
        let t = sc.cin::<usize>() - 1;
        g[s].push(t);
    }
    let mut ans;
    {
        let mut dp = vec![0.0f64; n];
        for i in (0..n-1).rev() {
            let deg = g[i].len();
            let p = 1.0 / (deg as f64);
            dp[i] = 1.0;
            for &j in g[i].iter() {
                dp[i] += dp[j] * p;
            }
        }
        ans = dp[0];
    }
    for sx in 0..n {
        let mut dp = vec![0.0f64; n];
        for i in (0..n-1).rev() {
            if i == sx && g[i].len() > 1 {
                let v = g[i].iter().map(|&j| (dp[j], j)).collect::<Vec<_>>();
                let &(_, tx) = max!(..v).unwrap();
                let deg = g[i].len() - 1;
                let p = 1.0 / (deg as f64);
                dp[i] = 1.0;
                for &j in g[i].iter() {
                    if j == tx { continue }
                    dp[i] += dp[j] * p;
                }
            } else {
                let deg = g[i].len();
                let p = 1.0 / (deg as f64);
                dp[i] = 1.0;
                for &j in g[i].iter() {
                    dp[i] += dp[j] * p;
                }
            }
        }
        ans = min!(ans, dp[0]);
    }
    put!(ans);
}

use std::io::{self, Write};
use std::str::FromStr;
use std::collections::VecDeque;

struct Scanner { stdin: io::Stdin, buffer: VecDeque<String>, }
impl Scanner {
    fn new() -> Self { Scanner { stdin: io::stdin(), buffer: VecDeque::new() } }
    fn cin<T: FromStr>(&mut self) -> T {
        while self.buffer.len() == 0 {
            let mut line = String::new();
            let _ = self.stdin.read_line(&mut line);
            for w in line.split_whitespace() {
                self.buffer.push_back(String::from(w));
            }
        }
        self.buffer.pop_front().unwrap().parse::<T>().ok().unwrap()
    }
    fn chars(&mut self) -> Vec<char> { self.cin::<String>().chars().collect() }
    fn vec<T: FromStr>(&mut self, n: usize) -> Vec<T> { (0..n).map(|_| self.cin()).collect() }
}


Measured memory_bytes: 6396