#line 1 "/mnt/c/Users/leafc/dev/compro/lib/math/modint.hpp"
#include <cstdint>
#include <iostream>
#include <vector>
#ifndef MOD_INT
#define MOD_INT

template <std::uint_fast64_t MOD> class ModInt {
  using u64 = std::uint_fast64_t;

public:
  ModInt(const u64 val = 0) { value = val % MOD; }

  ModInt operator+(const ModInt rhs) const { return ModInt(*this) += rhs; }
  ModInt operator-(const ModInt rhs) const { return ModInt(*this) -= rhs; }
  ModInt operator*(const ModInt rhs) const { return ModInt(*this) *= rhs; }
  ModInt operator/(const ModInt rhs) const { return ModInt(*this) /= rhs; }

  ModInt &operator+=(const ModInt rhs) {
    value += rhs.value;
    if (value >= MOD) {
      value -= MOD;
    }
    return *this;
  }

  ModInt &operator-=(const ModInt rhs) {
    if (value < rhs.value) {
      value += MOD;
    }
    value -= rhs.value;
    return *this;
  }

  ModInt &operator*=(const ModInt rhs) {
    value = value * rhs.value % MOD;
    return *this;
  }

  ModInt &operator/=(ModInt rhs) {
    *this *= rhs.inv();
    return *this;
  }

  ModInt &operator++(int n) {
    value++;
    if (value >= MOD) {
      value -= MOD;
    }
    return *this;
  }

  ModInt &operator--(int n) {
    if (value == 0) {
      value += MOD;
    }
    value--;
    return *this;
  }

  ModInt inv() { return ModInt::pow(*this, MOD - 2); }

  static ModInt pow(ModInt base, long long int n) {
    ModInt res = ModInt(1);
    while (n) {
      if (n & 1) {
        res *= base;
      }
      base *= base;
      n /= 2;
    }
    return res;
  }

  static ModInt comb(ModInt n, ModInt r) { return comb(n.value, r.value); }

  static ModInt comb(int n, int r) {
    if (n < r)
      return ModInt(0);
    ModInt res = ModInt(1);
    for (int i = 0; i < r; i++) {
      res *= ModInt(n - i);
    }

    ModInt inv = ModInt(1);
    for (int i = 0; i < r; i++) {
      inv *= ModInt(r - i);
    }
    return res / inv;
  }

  u64 getValue() const { return value; }

private:
  u64 value;

  friend std::ostream &operator<<(std::ostream &out, const ModInt<MOD> &m) {
    out << m.value;
    return out;
  }

  friend std::istream &operator>>(std::istream &in, ModInt &m) {
    uint_fast64_t i;
    in >> i;
    m = ModInt(i);
    return in;
  }
};

#endif
#line 1 "/mnt/c/Users/leafc/dev/compro/lib/template.hpp"


#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < n; i++)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) (v).begin(), (v).end()
#define coutd(n) cout << fixed << setprecision(n)
#define ll long long int
#define vl vector<ll>
#define vi vector<int>
#define MM << " " <<

using namespace std;

template <class T> void say(bool val, T yes = "Yes", T no = "No") { cout << (val ? yes : no) << "\n"; }

template <class T> void chmin(T &a, T b) {
  if (a > b)
    a = b;
}

template <class T> void chmax(T &a, T b) {
  if (a < b)
    a = b;
}


#line 3 "abc169_f.cpp"

using mint = ModInt<998244353>;

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  int n, s;
  cin >> n >> s;
  vi a(n);
  REP(i, n) { cin >> a[i]; }

  vector<vector<mint>> dp(s + 1, vector<mint>(n + 1, mint(0)));
  dp[0][0] = mint(1);

  REP(i, s + 1) {
    FOR(j, 1, n + 1) {
      dp[i][j] = dp[i][j - 1] * mint(2);
      if (i - a[j - 1] >= 0) {
        dp[i][j] += dp[i - a[j - 1]][j - 1];
      }
    }
  }

  cout << dp[s][n] << endl;
}


Measured memory_bytes: 73676