// 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 main() {
    input! {
      n: usize,
      p: [f64; n],
    }
    let mut dp = vec![0.; n + 1];
    dp[0] = 1.;
    for i in 0..n {
        let pi = p[i];
        for j in (1..=i + 1).rev() {
            dp[j] = dp[j - 1] * pi + dp[j] * (1. - pi);
        }
        dp[0] *= 1. - pi;
    }
    // eprintln!("{:?}", dp);
    let mut s = 0.;
    for i in (n + 1) / 2..=n {
        s += dp[i];
    }
    println!("{}", s);
}
*/

fn main() {
    let exe = "/tmp/binDEB9E493";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGDSBAAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA0KoEAAAAAADQqgQAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAtwQAAAAAAAC3ZAAAAAAAALdkAAAAAADYGgAAAAAAACg2AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAAC3BAAAAAAAALdkAAAAAAAAt2QAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
jGMEAAAAAACMY0QAAAAAAIxjRAAAAAAAvAkAAAAAAAC8CQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAAC3BAAAAAAA
ALdkAAAAAAAAt2QAAAAAAAAZAAAAAAAAABkAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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kAFAAAAAAACQAQAAAAAAAAMAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAEQAAAAEAAAAGAAAA
AAAAAKABQAAAAAAAoAEAAAAAAAAW1wMAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABcAAAABAAAA
BgAAAAAAAAC22EMAAAAAALbYAwAAAAAAAwAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAdAAAA
AQAAAAIAAAAAAAAAwNhDAAAAAADA2AMAAAAAAMuKAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAA
JQAAAAEAAAACAAAAAAAAAIxjRAAAAAAAjGMEAAAAAAC8CQAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAA
AAAAADMAAAABAABwAgAAAAAAAABIbUQAAAAAAEhtBAAAAAAAiD0AAAAAAAAAAAAAAAAAAAgAAAAAAAAA
AAAAAAAAAAA9AAAAAQAAAAMEAAAAAAAAALdkAAAAAAAAtwQAAAAAADAAAAAAAAAAAAAAAAAAAAAgAAAA
AAAAAAAAAAAAAAAARAAAAAgAAAADBAAAAAAAAEC3ZAAAAAAAMLcEAAAAAACIAAAAAAAAAAAAAAAAAAAA
IAAAAAAAAAAAAAAAAAAAAEoAAAABAAAAAwAAAAAAAABAt2QAAAAAAEC3BAAAAAAA+BYAAAAAAAAAAAAA
AAAAAAgAAAAAAAAAAAAAAAAAAABXAAAAAQAAAAMAAAAAAAAAOM5kAAAAAAA4zgQAAAAAAMABAAAAAAAA
AAAAAAAAAAAIAAAAAAAAAAgAAAAAAAAAXAAAAAEAAAADAAAAAAAAAADQZAAAAAAAANAEAAAAAADYAQAA
AAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGIAAAAIAAAAAwAAAAAAAADg0WQAAAAAANjRBAAAAAAA
SBsAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAABnAAAAAQAAADAAAAAAAAAAAAAAAAAAAADY0QQA
AAAAABEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAEAAAAAAAAAAQAAAAMAAAAAAAAAAAAAAAAAAAAAAAAA
6dEEAAAAAABwAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAA==
";

Measured memory_bytes: 8828