// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::*;
#[allow(unused_imports)]
use std::cmp::{max, min};
#[allow(unused_imports)]
use std::collections::*;
#[allow(unused_imports)]
use std::f64::consts::*;

#[allow(unused)]
const INF: usize = std::usize::MAX / 4;
#[allow(unused)]
const M: usize = 1000000007;

fn index(x: usize, y: usize, z: usize) -> usize {
    (x * 301 + y) * 301 + z
}

fn rec(dp: &mut Vec<f64>, x: usize, y: usize, z: usize, n: usize) -> f64 {
    let k = index(x, y, z);
    if dp[k] > 0. {
        return dp[k];
    }
    if x == 0 && y == 0 && z == 0 {
        return 0.;
    }

    let mut s = 0.;
    if x > 0 {
        s += rec(dp, x - 1, y, z, n) * x as f64;
    }
    if y > 0 {
        s += rec(dp, x + 1, y - 1, z, n) * y as f64;
    }
    if z > 0 {
        s += rec(dp, x, y + 1, z - 1, n) * z as f64;
    }
    s += n as f64;
    s /= (x + y + z) as f64;
    dp[k] = s;
    s
}

fn main() {
    input! {
      n: usize,
      a: [Usize1; n],
    }
    let mut count = vec![0; 3];
    for &ai in &a {
        count[ai] += 1;
    }

    let mut dp = vec![0.; 301 * 301 * 301];
    println!("{}", rec(&mut dp, count[0], count[1], count[2], n));
}
*/

fn main() {
    let exe = "/tmp/bin0F72FAEC";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAIARAAAAAAABAAAAAAAAAANixBAAAAAAAAAAAAEAAOAAGAEAA
DgANAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAEIYEAAAAAAAQhgQAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAlAQAAAAAAACUZAAAAAAAAJRkAAAAAABYHQAAAAAAAEg5AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAACUBAAAAAAAAJRkAAAAAAAAlGQAAAAAAAAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
bDoEAAAAAABsOkQAAAAAAGw6RAAAAAAAFAoAAAAAAAAUCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAACUBAAAAAAA
AJRkAAAAAAAAlGQAAAAAAAAcAAAAAAAAABwAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALAAAA
AQAAAAYAAAAAAAAAkAFAAAAAAACQAQAAAAAAAAMAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
EQAAAAEAAAAGAAAAAAAAAKABQAAAAAAAoAEAAAAAAAANxwMAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAA
AAAAABcAAAABAAAABgAAAAAAAACtyEMAAAAAAK3IAwAAAAAAAwAAAAAAAAAAAAAAAAAAAAEAAAAAAAAA
AAAAAAAAAAAdAAAAAQAAAAIAAAAAAAAAwMhDAAAAAADAyAMAAAAAAKtxAAAAAAAAAAAAAAAAAAAgAAAA
AAAAAAAAAAAAAAAAJQAAAAEAAAACAAAAAAAAAGw6RAAAAAAAbDoEAAAAAAAUCgAAAAAAAAAAAAAAAAAA
BAAAAAAAAAAAAAAAAAAAADMAAAABAABwAgAAAAAAAACAREQAAAAAAIBEBAAAAAAAkEEAAAAAAAAAAAAA
AAAAAAgAAAAAAAAAAAAAAAAAAAA9AAAACAAAAAMEAAAAAAAAAJRkAAAAAAAAlAQAAAAAAMgAAAAAAAAA
AAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAQwAAAAEAAAADAAAAAAAAAACUZAAAAAAAAJQEAAAAAAAoGgAA
AAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAFAAAAABAAAAAwAAAAAAAAAormQAAAAAACiuBAAAAAAA
yAEAAAAAAAAAAAAAAAAAAAgAAAAAAAAACAAAAAAAAABVAAAAAQAAAAMAAAAAAAAAALBkAAAAAAAAsAQA
AAAAAFgBAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAWwAAAAgAAAADAAAAAAAAAGCxZAAAAAAA
WLEEAAAAAADoGwAAAAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGAAAAABAAAAMAAAAAAAAAAAAAAA
AAAAAFixBAAAAAAAEQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAAABAAAAAwAAAAAAAAAAAAAA
AAAAAAAAAABpsQQAAAAAAGkAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
";


Measured memory_bytes: 217308