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

#[fastout]
fn main() {
    input! {
        n: usize,
        aa: [usize; n],
    };

    let mut dp = vec![vec![vec![-1f64; 310]; 310]; 310];
    dp[0][0][0] = 0f64;

    let mut i = 0;
    let mut j = 0;
    let mut k = 0;

    for a in aa {
        if a == 1 {
            i += 1;
        }

        if a == 2 {
            j += 1;
        }

        if a == 3 {
            k += 1;
        }
    }

    println!("{}", solve(i, j, k, &mut dp, n));
}

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

    let mut res = 0f64;

    if i > 0 {
        res += solve(i - 1, j, k, dp, n) * i as f64;
    }
    if j > 0 {
        res += solve(i + 1, j - 1, k, dp, n) * j as f64;
    }
    if k > 0 {
        res += solve(i, j + 1, k - 1, dp, n) * k as f64;
    }

    res += n as f64;
    res *= 1.0 / (i + j + k) as f64;

    dp[i][j][k] = res;
    res
}
*/

fn main() {
    let exe = "/tmp/bin859F8EEC";
    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 = "
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DwAOAAEAAAAEAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAXAIAAAAAAABcAgAAAAAAAAAQAAAAAAAA
AQAAAAUAAAAAEAAAAAAAAAAQQAAAAAAAABBAAAAAAADJswMAAAAAAMmzAwAAAAAAABAAAAAAAAABAAAA
BAAAAADQAwAAAAAAANBDAAAAAAAA0EMAAAAAALi0AAAAAAAAuLQAAAAAAAAAEAAAAAAAAAEAAAAGAAAA
wIcEAAAAAADAl0QAAAAAAMCXRAAAAAAAmBkAAAAAAACINQAAAAAAAAAQAAAAAAAABAAAAAQAAAA4AgAA
AAAAADgCQAAAAAAAOAJAAAAAAAAkAAAAAAAAACQAAAAAAAAABAAAAAAAAAAHAAAABAAAAMCHBAAAAAAA
wJdEAAAAAADAl0QAAAAAAAAAAAAAAAAAiAAAAAAAAAAgAAAAAAAAAFDldGQEAAAAbD8EAAAAAABsP0QA
AAAAAGw/RAAAAAAAxAkAAAAAAADECQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAMCHBAAAAAAAwJdEAAAAAADAl0QA
AAAAAEAYAAAAAAAAQBgAAAAAAAABAAAAAAAAAAQAAAAUAAAAAwAAAEdOVQBllQFX/xHvTeKoVZHCUtsC
/xWXkQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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";

Measured memory_bytes: 241372