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

fn pow(a: u64, n: u64, m: u64) -> u64 {
    match n {
        0 => 1,
        1 => a % m,
        n if n % 2 == 0 => {
            let work = pow(a, n / 2, m);
            (work * work) % m
        },
        n if n % 2 == 1 => (pow(a, n - 1, m) * a) % m,
        _ => panic!(),
    }
}

#[fastout]
fn main() {
    let m = 998244353;
    input! {
        n: usize,
        s: usize,
        a: [usize; n],
    }
    let mut dp = vec![0_u64; s + 1];
    let d2 = pow(2, m - 2, m);
    dp[0] = pow(2, n as u64, m);
    for a in a {
        for j in (a..=s).rev() {
            dp[j] += (dp[j-a] * d2) % m;
            dp[j] %= m;
        }
    }
    println!("{}", dp[s]);
}
*/

fn main() {
    let exe = "/tmp/bin2DFD6ED5";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAIARAAAAAAABAAAAAAAAAANhRBAAAAAAAAAAAAEAAOAAGAEAA
DgANAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA8DMEAAAAAADwMwQAAAAAAAAAIAAAAAAA
AQAAAAYAAACgNgQAAAAAAKA2ZAAAAAAAoDZkAAAAAAC4GgAAAAAAAKg2AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAKA2BAAAAAAAoDZkAAAAAACgNmQAAAAAAAAAAAAAAAAAiAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
LOoDAAAAAAAs6kMAAAAAACzqQwAAAAAA1AkAAAAAAADUCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAKA2BAAAAAAA
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";


Measured memory_bytes: 2944