// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#[allow(unused_imports)]
use algo;
#[allow(unused_imports)]
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::{Bytes, Chars, Isize1, Usize1};
#[allow(unused_imports)]
use std::cmp::{max, min};
#[allow(unused_imports)]
use std::collections::{HashMap, HashSet};

mod mod_int {
    use std::ops::*;
    pub trait Mod: Copy {
        fn m() -> i64;
    }
    #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)]
    pub struct ModInt<M> {
        pub x: i64,
        phantom: ::std::marker::PhantomData<M>,
    }
    impl<M: Mod> ModInt<M> {
        // x >= 0
        pub fn new(x: i64) -> Self {
            ModInt::new_internal(x % M::m())
        }
        fn new_internal(x: i64) -> Self {
            ModInt {
                x: x,
                phantom: ::std::marker::PhantomData,
            }
        }
        pub fn pow(self, mut e: i64) -> Self {
            debug_assert!(e >= 0);
            let mut sum = ModInt::new_internal(1);
            let mut cur = self;
            while e > 0 {
                if e % 2 != 0 {
                    sum *= cur;
                }
                cur *= cur;
                e /= 2;
            }
            sum
        }
        #[allow(dead_code)]
        pub fn inv(self) -> Self {
            self.pow(M::m() - 2)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> {
        type Output = Self;
        fn add(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x + other.x;
            if sum >= M::m() {
                sum -= M::m();
            }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> {
        type Output = Self;
        fn sub(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x - other.x;
            if sum < 0 {
                sum += M::m();
            }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> {
        type Output = Self;
        fn mul(self, other: T) -> Self {
            ModInt::new(self.x * other.into().x % M::m())
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> {
        fn add_assign(&mut self, other: T) {
            *self = *self + other;
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> {
        fn sub_assign(&mut self, other: T) {
            *self = *self - other;
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> {
        fn mul_assign(&mut self, other: T) {
            *self = *self * other;
        }
    }
    impl<M: Mod> Neg for ModInt<M> {
        type Output = Self;
        fn neg(self) -> Self {
            ModInt::new(0) - self
        }
    }
    impl<M> ::std::fmt::Display for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            self.x.fmt(f)
        }
    }
    impl<M> ::std::fmt::Debug for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            self.x.fmt(f)
        }
    }
    impl<M: Mod> From<i64> for ModInt<M> {
        fn from(x: i64) -> Self {
            Self::new(x)
        }
    }
} // mod mod_int

macro_rules! define_mod {
    ($struct_name: ident, $modulo: expr) => {
        #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
        struct $struct_name {}
        impl mod_int::Mod for $struct_name {
            fn m() -> i64 {
                $modulo
            }
        }
    };
}
const MOD: i64 = 998244353;
define_mod!(P, MOD);
type ModInt = mod_int::ModInt<P>;

#[allow(non_snake_case)]
fn main() {
    input! {
        N:usize,
        S:usize,
        A:[usize; N]
    }
    let mut dp = vec![ModInt::new(0); S + 1];
    dp[0] = ModInt::new(2).pow(N as i64);
    let inv = ModInt::new(2).inv();
    for i in 0..N {
        for j in (0..S).rev() {
            let x = j + A[i];
            if x > S {
                continue;
            }
            let c = dp[j] * inv;
            dp[x] += c;
        }
    }
    println!("{}", dp[S]);
}
*/

fn main() {
    let exe = "/tmp/binFD63F3A9";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEORBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAV+0BAAAAAABX7QEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADwQQAAAAAAAPBBAAAAAAAAAAAAAAAAAEhNIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOM7h5ZVUFgh
VAkNFgAAAABYJQQAWCUEAJABAACXAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANEANADxvybRYFANghBAAT
gR27ezgABgUOAA0rBQAA9kJe2EAHBwQAIAXYwb4vNwYICxcLZAebsM9OWBYOSDIANwcD2GGBrAQ3AMg1
i/19SwBQ5XRkMczDAw8HlpAnZENECQCtvALbHVE3BgAAEACdwoKdUm+nFQAAMISEB4EAAAAAAAAASP9w
BQQA4dsBAAJJFAD//wfyUFjDAEFXQVYxwEFVQVRJg8z/VVNJt7f//4n+TInPTo0sAkiD7EhIiTQkA0wk
CBPhTJv7b3cHKPKuDlQkGEiLlCSAPRP3/o+8bQ/IDYwkiEQkIEj30EqNHCD/29vfQRwrTY17ARNcJBAE
/ugUAaRsSIXAWvs193R+TItABCqJxzpg77l21wtYSQHFBypZS9q2fWsbD4nR86QEwRJ0gLa1bfsJzgLv
F9kKEbR+tvtuO0iNOTxFQsYEGABha5xDbhvs2YQ+i4yg+h/upm//t+9BicSCrNXESESJ4FtdQVxBA15B
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";


Measured memory_bytes: 2484