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

fn main() {
    input! {
        n: usize,
        a: [usize; n],
    }

    let mut dp = vec![vec![vec![-1f64; n + 1]; n + 1]; n + 1];
    let mut three = 0;
    let mut two = 0;
    let mut one = 0;
    for ai in a {
        if ai == 3 {
            three += 1;
        } else if ai == 2 {
            two += 1;
        } else {
            one += 1;
        }
    }

    let ans = rec((three, two, one), n, &mut dp);

    // eprintln!("{:?}", (three, two, one));
    // for v in &dp {
        // eprintln!("{:?}", v);
    // }

    println!("{}", ans);
}

fn rec((i, j, k): (isize, isize, isize), n: usize, dp: &mut Vec<Vec<Vec<f64>>>) -> f64 {
    // eprintln!("{:?}", (i, j, k));

    if i == 0 && j == 0 && k == 0 {
        return 0.0;
    }
    if i < 0 || j < 0 || k < 0 {
        return 0.0;
    }

    let (iu, ju, ku) = (i as usize, j as usize, k as usize);

    if dp[iu][ju][ku] >= 0.0 {
        return dp[iu][ju][ku];
    }

    dp[iu][ju][ku] =
        (n as f64 + i as f64 * rec((i - 1, j + 1, k), n, dp) + j as f64 * rec((i, j - 1, k + 1), n, dp) + k as f64 * rec((i, j, k - 1), n, dp)) / (i + j + k) as f64;

    // eprintln!("{:?}: {}", (i, j, k), dp[iu][ju][ku]);

    dp[iu][ju][ku]
}
*/

fn main() {
    let exe = "/tmp/binF92CA7AB";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAkOdBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAlfABAAAAAACV8AEAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAAAAQgAAAAAAAABCAAAAAAAAAAAAAAAAACg9AgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAMIWuiBVUFgh
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";

Measured memory_bytes: 222292