// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#[allow(unused_macros)]
macro_rules! debug {
	($($a:expr),*) => {
		println!(concat!($(stringify!($a), " = {:?}, "),*), $($a),*);
	}
}

fn rec(dp: &mut Vec<Vec<Vec<f64>>>, n: usize, i: usize, j: usize, k: usize) -> f64 {
	if dp[i][j][k] > 0.0 {
		return dp[i][j][k];
	}
	if i == 0 && j == 0 && k == 0 {
		return 0.0;
	}

	let mut res = 0.0;
	if i > 0 {
		res += rec(dp, n, i - 1, j, k) * (i as f64);
	}
	if j > 0 {
		res += rec(dp, n, i + 1, j - 1, k) * (j as f64);
	}
	if k > 0 {
		res += rec(dp, n, i, j + 1, k - 1) * (k as f64);
	}
	res += n as f64;
	res /= (i + j + k) as f64;
	dp[i][j][k] = res;
	res
}

fn main() {
	let (r, w) = (std::io::stdin(), std::io::stdout());
	let mut sc = IO::new(r.lock(), w.lock());

	let n: usize = sc.read();
	let a = sc.read_vec::<usize>(n);

	let mut num = vec![0; 3];
	for x in a.into_iter() {
		num[x - 1] += 1;
	}
	let mut dp = vec![vec![vec![0.0; n + 1]; n + 1]; n + 1];
	println!("{}", rec(&mut dp, n, num[0], num[1], num[2]));
}

pub struct IO<R, W: std::io::Write>(R, std::io::BufWriter<W>);

impl<R: std::io::Read, W: std::io::Write> IO<R, W> {
	pub fn new(r: R, w: W) -> IO<R, W> {
		IO(r, std::io::BufWriter::new(w))
	}
	pub fn write<S: std::ops::Deref<Target = str>>(&mut self, s: S) {
		use std::io::Write;
		self.1.write(s.as_bytes()).unwrap();
	}
	pub fn read<T: std::str::FromStr>(&mut self) -> T {
		use std::io::Read;
		let buf = self
			.0
			.by_ref()
			.bytes()
			.map(|b| b.unwrap())
			.skip_while(|&b| b == b' ' || b == b'\n' || b == b'\r' || b == b'\t')
			.take_while(|&b| b != b' ' && b != b'\n' && b != b'\r' && b != b'\t')
			.collect::<Vec<_>>();
		unsafe { std::str::from_utf8_unchecked(&buf) }
			.parse()
			.ok()
			.expect("Parse error.")
	}
	pub fn read_vec<T: std::str::FromStr>(&mut self, n: usize) -> Vec<T> {
		(0..n).map(|_| self.read()).collect()
	}
	pub fn read_chars(&mut self) -> Vec<char> {
		self.read::<String>().chars().collect()
	}
	pub fn read_char_grid(&mut self, n: usize) -> Vec<Vec<char>> {
		(0..n).map(|_| self.read_chars()).collect()
	}
	pub fn read_pairs<T: std::str::FromStr, U: std::str::FromStr>(
		&mut self,
		n: usize,
	) -> Vec<(T, U)> {
		(0..n)
			.map(|_| (self.read::<T>(), self.read::<U>()))
			.collect::<Vec<(T, U)>>()
	}
	pub fn read_matrix<T: std::str::FromStr>(&mut self, n: usize, m: usize) -> Vec<Vec<T>> {
		(0..n)
			.map(|_| (0..m).map(|_| self.read()).collect())
			.collect()
	}
}
*/

fn main() {
    let exe = "/tmp/bin5DF82ECE";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAOOJBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAf+sBAAAAAAB/6wEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADwQQAAAAAAAPBBAAAAAAAAAAAAAAAAAKgMIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
UAkNFgAAAACg5QMAoOUDAJABAACYAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANEANADxvybRYFAODhAwAT
gR27ezgABgUPAA4rBQAALSFP2EAH6MEDAG22+84gADcGA6DEFwdhn52QY7gcLQg4ADdgA1k3BwMENzAt
+X1L2Mg1AFDldGQ3bHUhT8g2B0M8CgAC2ww2BDdRBgAAwoKdvBAAUm+nGELCPmAbAAeBAAAAAAAAJAD/
WMADAF3ZAQACSQ0A//8H8lBYwwBBV0FWMcBBVUFUSYPM/1VTSbe3//+J/kyJz06NLAJIg+xISIk0JANM
JAgT4Uyb+293Byjyrg5UJBhIi5QkgD0T9/6PvG0PyA2MJIhEJCBI99BKjRwg9tvb30EcK02NewETXCQQ
BP7oDQHpT2u/5v6FwHR+TItABCqJxzpgPdfuWgtYSQHFBypZ27Zv7UsbD4nR86QEwRJ0gLa2bV8JzgLv
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L5Z77idMKQY1nRqi8Qi/CKBByPprdb3/uHt7y6not0c40MU4OQwPjF6ptZP0x0swTe156sn022RoEPBB
XkFfsqoCS91Cxc75VaxNCKOZtj/VTI1tQFMgw7k/H2LfeJvEGAQ+jbwkgOPYNnfYhiDG25g4KcK72xb4
NTCABBR8voPADBC20rb7EOicnUFTVeFYY9i7W/faJ/GONyh16NDtvgngdmxjTcIZ96bofhIcbjVoUygp
fTh08EkbDnjzjwA/A3Vy8EK7tM0/Hn0QTlHo8Pl36fvtPKV4F7oABEbus+jrFEF3CG9IPQ9VvRFJ6DbD
r+1KQVBDAsDsV3dzDUSU1ElzVRe+IHANbrCG97XFjDiGLDQ031cMVkUJ2wncC4JxMkgt4EoAAECERyAB
AAD/ALgCAAAOAAAAAgAAAAAhipAAAAAAAAAAgAT/SAQAAFcBAAACAAAA7f///0dDQzogKEdOVSkgNi40
LjAAAC5zaHN0cnRhYgnfXPP2aW5pdAV0ZXhmDAVyb2Rhlv1/axoHZWhfZnJhbWVfaGRyDbfXfuYrHnRi
c3MFCzFlbLE2e3M1DGdvdBEFHEOAte1jb20wbhMAC2AP1nQDAQYPkAFAByEbsrMPAy8BD8EGGbIRP6Cg
KMmQXdiWCkEQPxcE2GAPNgxDBwN/gw022B0TAg9AP0DILuwgK2kvID/WJodkJWx1Bz8Zsgt7PAovBD8z
1iYPOXCofwc/G7ILe0BCLwg/PX8W7MEGA1igxGMHPxbsInswAL9EUz/JIIMc4NCIXNhhQ0p/AD/gSC6S
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fwDpwEIHA1cQyhhsaT9wvwAAAAAAAEgA/wAAAABVUFghAAAAAAAAAFVQWCENFgIK4YftzDbvhwdIBAAA
VwEAAKDlAwBJDQCo9AAAAA==
";

Measured memory_bytes: 222296