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

use rust_procon_lib::scanner::*;
use rust_procon_lib::modint::*;

fn main() {
    let mut sc = Scanner::from_stdin();

    let b = sc.usize();
    let w = sc.usize();

    let mut fact = vec![ModInt::from(1); b + w];
    for i in 1.. b+w {
        fact[i] = fact[i-1] * i;
    }

    let comb = |n: usize, r: usize| -> ModInt {
        if n < r {
            0.into()
        } else {
            fact[n] / (fact[r] * fact[n-r])
        }
    };

    let mut p = ModInt::from(0);
    let mut q = ModInt::from(0);
    for i in 0..b+w {
        if i > 0 {
            p += comb(i-1, b-1) / ModInt::from(2).pow(i as i64);
            q += comb(i-1, w-1) / ModInt::from(2).pow(i as i64);
        }
        println!("{}", (ModInt::from(1)-p+q)/ModInt::from(2))
    }
}
*/

fn main() {
    let exe = "/tmp/bin4DA7BAB7";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAeLJBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAv7sBAAAAAAC/uwEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADAQQAAAAAAAMBBAAAAAAAAAAAAAAAAAKjsIQAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
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";


Measured memory_bytes: 8700