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

fn main() {
    input! {
        n: usize,
        k: usize,
        p: [u64; n]
    };

    let probs = p.iter().map(|x| { (x + 1) as f64 / 2.0f64 }).collect::<Vec<f64>>();
    let mut acc = probs[0..k].iter().sum::<f64>();
    let mut max = acc;

    for i in k..n {
        acc -= probs[i - k];
        acc += probs[i];
        if max < acc {
            max = acc;
        }
    }

    println!("{}", max);
}
*/

fn main() {
    let exe = "/tmp/binFBBB9049";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAgBFAAAAAAABAAAAAAAAAAHDyAwAAAAAAAAAAAEAAOAAJAEAA
EAAPAAEAAAAEAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAXAIAAAAAAABcAgAAAAAAAAAQAAAAAAAA
AQAAAAUAAAAAEAAAAAAAAAAQQAAAAAAAABBAAAAAAAAJCAMAAAAAAAkIAwAAAAAAABAAAAAAAAABAAAA
BAAAAAAgAwAAAAAAACBDAAAAAAAAIEMAAAAAAJCzAAAAAAAAkLMAAAAAAAAAEAAAAAAAAAEAAAAGAAAA
wNMDAAAAAADA40MAAAAAAMDjQwAAAAAAGB4AAAAAAABoOQAAAAAAAAAQAAAAAAAABAAAAAQAAAA4AgAA
AAAAADgCQAAAAAAAOAJAAAAAAAAkAAAAAAAAACQAAAAAAAAABAAAAAAAAAAHAAAABAAAAMDTAwAAAAAA
wONDAAAAAADA40MAAAAAADAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAAjIsDAAAAAACMi0MA
AAAAAIyLQwAAAAAARAoAAAAAAABECgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAMDTAwAAAAAAwONDAAAAAADA40MA
AAAAAEAcAAAAAAAAQBwAAAAAAAABAAAAAAAAAAQAAAAUAAAAAwAAAEdOVQBV8WfHnjVuKQLiybUUVLBh
tRA4UAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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