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

macro_rules! echo {
  ($val:expr) => {
    println!("{}", $val);
  }
}

#[fastout]
fn main() {
  input!{
    n: usize,
    ps: [f64; n]
  };

  let mut dp = vec![vec![0.0; n+1]; n+1];
  dp[0][0] = 1.0;
  for i in 1..(n+1) {
    for j in 0..n+1 {
      dp[i][j] = match (i, j) {
        (i, 0) => {
          dp[i-1][j] * (1.0 - ps[i-1])
        },
        (i, j) => {
          dp[i-1][j] * (1.0 - ps[i-1])
            + dp[i-1][j-1] * ps[i-1]
        }
      }
    }
  }
  let ans : f64 = dp[n][(n / 2 + 1)..(n+1)].iter().sum();
  echo!(ans);
}
*/

fn main() {
    let exe = "/tmp/bin1D9C5E07";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEFBCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAV1kCAAAAAABXWQIAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAABgQgAAAAAAAGBCAAAAAAAAAAAAAAAAAEi9AgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOM7h5ZVUFgh
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";


Measured memory_bytes: 75480