// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::marker::*;
use proconio::{fastout, input};
#[allow(unused)]
use std::cmp::{max, min};
#[allow(unused)]
use std::collections::{HashMap, HashSet, VecDeque};

#[fastout]
fn main() {
    input! {
        n: usize,
        p: [f64; n],
    }
    let mut rec = vec![vec![0.0; n + 1]; n];
    for i in 0..n {
        for j in 0..n + 1 {
            rec[i][j] = match (i, j) {
                (0, 0) => 1.0 - p[0],
                (0, 1) => p[0],
                (0, _) => 0.0,
                (_, 0) => (1.0 - p[i]) * rec[i - 1][j],
                (_, _) => p[i] * rec[i - 1][j - 1] + (1.0 - p[i]) * rec[i - 1][j],
            }
        }
    }
    println!("{:.10}", rec[n - 1][n / 2 + 1..].iter().sum::<f64>());
}
*/

fn main() {
    let exe = "/tmp/bin67E7B245";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAGGVCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAX24CAAAAAABfbgIAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAABwQgAAAAAAAHBCAAAAAAAAAAAAAAAAAEi9IgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOI7GZBVUFgh
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";


Measured memory_bytes: 75480