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

fn main() {
    let N = read!(usize);
    let p: Vec<f64> = read![[f64]];

    // dp[i][c] := i番目までのコインをなげたときに表がc枚出ている確率
    let mut dp = vec![vec![None; N + 1]; N + 1];
    dp[0][0] = Some(1.0);

    for i in 1..=N {
        for c in 0..=i {
            let front = match c {
                0 => 0.0,
                x => dp[i - 1][x - 1].unwrap() * p[i - 1],
            };
            let back = match dp[i - 1][c] {
                Some(x) => x * (1.0 - p[i - 1]),
                None => 0.0,
            };
            dp[i][c] = Some(front + back);
        }
    }

    let ans = dp[N]
        .iter()
        .filter_map(|&x| x)
        .skip((N + 1) / 2)
        .sum::<f64>();
    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/bin0648A582";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAOAxBAAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA4AwEAAAAAADgDAQAAAAAAAAAIAAAAAAA
AQAAAAYAAABAEwQAAAAAAEATZAAAAAAAQBNkAAAAAAAYHgAAAAAAAGg5AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAEATBAAAAAAAQBNkAAAAAABAE2QAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
7MADAAAAAADswEMAAAAAAOzAQwAAAAAATAoAAAAAAABMCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAEATBAAAAAAA
QBNkAAAAAABAE2QAAAAAAMAcAAAAAAAAwBwAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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Measured memory_bytes: 145628