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

#[fastout]
fn main() {
    input! {
    n: usize,
    p: [f64; n]
    }
    let mut dp = vec![vec![0.0; n + 1]; n + 1];
    dp[0][0] = 1.0;
    for i in 0..n {
        for j in 0..n{
            dp[i + 1][j] = dp[i][j] * (1.0 - p[i]) + dp[i + 1][j];
            dp[i + 1][j + 1] = dp[i][j] * p[i] + dp[i + 1][j + 1];
        }
    }
    let ans = dp[n][(n / 2 + 1)..].iter().sum::<f64>();
    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/bin7D75FE31";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAOjhBAAAAAAAAAAAAEAAOAAHAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAALgEAAAAAAAAuAQAAAAAAAAAIAAAAAAA
AQAAAAYAAADAxgQAAAAAAMDGZAAAAAAAwMZkAAAAAACYGgAAAAAAAIg2AAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
wMYEAAAAAADAxmQAAAAAAMDGZAAAAAAAAAAAAAAAAACIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAADMcQQA
AAAAAMxxRAAAAAAAzHFEAAAAAAD0CQAAAAAAAPQJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAwMYEAAAAAADAxmQA
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";


Measured memory_bytes: 75356