// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::marker::*;
use proconio::{fastout, input};
#[allow(unused)]
use std::cmp::{max, min};
#[allow(unused)]
use std::collections::{HashMap, HashSet, VecDeque};

#[fastout]
fn main() {
    input! {
        n: usize,
        a: [Usize1; n],
    }
    let mut cnt = vec![0; 3];
    for i in a {
        cnt[i] += 1;
    }

    let mut rec = vec![vec![vec![-1.0; n + 1]; n + 1]; n + 1];
    rec[0][0][0] = 0.0;
    println!("{:.10}", dfs(cnt[0], cnt[1], cnt[2], n, &mut rec));
}

fn dfs(i: usize, j: usize, k: usize, n: usize, rec: &mut Vec<Vec<Vec<f64>>>) -> f64 {
    if rec[i][j][k] != -1.0 {
        rec[i][j][k]
    } else {
        let mut res = n as f64;
        if i > 0 {
            res += i as f64 * dfs(i - 1, j, k, n, rec);
        }
        if j > 0 {
            res += j as f64 * dfs(i + 1, j - 1, k, n, rec);
        }
        if k > 0 {
            res += k as f64 * dfs(i, j + 1, k - 1, n, rec);
        }
        res /= (i + j + k) as f64;
        rec[i][j][k] = res;
        res
    }
}
*/

fn main() {
    let exe = "/tmp/bin8C973AA1";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAUDRCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAlz0CAAAAAACXPQIAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAABAQgAAAAAAAEBCAAAAAAAAAAAAAAAAAEidIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOM7h5ZVUFgh
UAkNFgAAAABYxQQAWMUEAJABAACWAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANIARADxvybRYFANjBBAAT
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";


Measured memory_bytes: 222296