// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
extern crate whiteread;
extern crate num;

fn main() {
    let (N, K): (usize, usize) = whiteread::parse_line().unwrap();
    let mut p: f64 = 0.0;

    for i in 1..N+1 {
        let log = (K as f64 / i as f64).log2();
        let flag = num::rational::Ratio::from_float(log.clone()).unwrap().is_integer();
        if K > i {
            let powed: i32;
            if flag {
                powed = log.clone() as i32;
            } else {
                powed = log.clone() as i32 + 1;
            };
            p += (0.5 as f64).powi(powed) / N as f64;
            // println!("powed: {}, p: {}", powed, p)
        } else {
            p += (N as f64 - i as f64 + 1.0)/N as f64;
            break;
        }
    }
    println!("{:?}", p)
}
*/

fn main() {
    let exe = "/tmp/bin5F01C95C";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAPCRBAAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAUGsEAAAAAABQawQAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAdgQAAAAAAAB2ZAAAAAAAAHZkAAAAAABYGwAAAAAAAMg2AAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
AHYEAAAAAAAAdmQAAAAAAAB2ZAAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAAB4GwQA
AAAAAHgbRAAAAAAAeBtEAAAAAAD8CgAAAAAAAPwKAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAAHYEAAAAAAAAdmQA
AAAAAAB2ZAAAAAAAABoAAAAAAAAAGgAAAAAAAAEAAAAAAAAABAAAABQAAAADAAAAR05VAM5QxipNF1bV
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AAAAAAAAAAA4AAAAAQAAAAIAAAAAAAAAeBtEAAAAAAB4GwQAAAAAAPwKAAAAAAAAAAAAAAAAAAAEAAAA
AAAAAAAAAAAAAAAARgAAAAEAAHACAAAAAAAAAHgmRAAAAAAAeCYEAAAAAADYRAAAAAAAAAAAAAAAAAAA
CAAAAAAAAAAAAAAAAAAAAFAAAAABAAAAAwQAAAAAAAAAdmQAAAAAAAB2BAAAAAAAMAAAAAAAAAAAAAAA
AAAAACAAAAAAAAAAAAAAAAAAAABXAAAACAAAAAMEAAAAAAAAQHZkAAAAAAAwdgQAAAAAAIgAAAAAAAAA
AAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAXQAAAAEAAAADAAAAAAAAAEB2ZAAAAAAAQHYEAAAAAADoFwAA
AAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGoAAAABAAAAAwAAAAAAAAAojmQAAAAAACiOBAAAAAAA
yAEAAAAAAAAAAAAAAAAAAAgAAAAAAAAACAAAAAAAAABvAAAAAQAAAAMAAAAAAAAAAJBkAAAAAAAAkAQA
AAAAAFgBAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAdQAAAAgAAAADAAAAAAAAAGCRZAAAAAAA
WJEEAAAAAABoGwAAAAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAHoAAAABAAAAMAAAAAAAAAAAAAAA
AAAAAFiRBAAAAAAAEQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAAABAAAAAwAAAAAAAAAAAAAA
AAAAAAAAAABpkQQAAAAAAIMAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
";


Measured memory_bytes: 8828