// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use libprocon::*;
//use memoise::memoise;

//#[memoise(keys(i = 100, j = 100, k = 100))]
fn solve(i: usize, j: usize, k: usize, N: usize, dp: &mut Vec<Vec<Vec<f64>>>) -> f64 {
    if dp[i][j][k] >= 0.0 {
        return dp[i][j][k];
    }

    let choose_one = match i {
        0 => 0.0,
        _ => (i as f64 / N as f64) * solve(i - 1, j, k, N, dp),
    };
    let choose_two = match j {
        0 => 0.0,
        _ => (j as f64 / N as f64) * solve(i + 1, j - 1, k, N, dp),
    };
    let choose_three = match k {
        0 => 0.0,
        _ => (k as f64 / N as f64) * solve(i, j + 1, k - 1, N, dp),
    };

    let ret = (N as f64 / (i + j + k) as f64) * (choose_one + choose_two + choose_three + 1.0);
    dp[i][j][k] = ret;
    ret
}

fn main() {
    let N = read!(usize);
    let A: Vec<usize> = read![[usize]];

    let n_one = A.iter().filter(|&&x| x == 1).count();
    let n_two = A.iter().filter(|&&x| x == 2).count();
    let n_three = A.len() - n_one - n_two;

    // dp[i][j][k] :=
    // 1個の皿がi枚、2個の皿がj枚、3個の皿がk枚あるときの寿司がなくなるまでの操作回数の期待値
    let mut dp = vec![vec![vec![-1.0; N + 1]; N + 1]; N + 1];
    dp[0][0][0] = 0.0;

    println!("{}", solve(n_one, n_two, n_three, N, &mut dp));
}
*/

fn main() {
    let exe = "/tmp/bin6BAA28FC";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAODhAwAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAACMQDAAAAAAAIxAMAAAAAAAAAIAAAAAAA
AQAAAAYAAACAxAMAAAAAAIDEYwAAAAAAgMRjAAAAAADYHAAAAAAAACg4AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAIDEAwAAAAAAgMRjAAAAAACAxGMAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
zHgDAAAAAADMeEMAAAAAAMx4QwAAAAAAJAoAAAAAAAAkCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAIDEAwAAAAAA
gMRjAAAAAACAxGMAAAAAAIAbAAAAAAAAgBsAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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Measured memory_bytes: 222172