//2020年4月17日現在

#include<stdio.h>
#include<cmath>
#include<math.h>
#include<iostream>
#include<string>
#include<vector>
#include<algorithm>
#include<complex>
#include<queue>
#include<set>
#include<utility>
#include<iomanip>
#include<limits>
#include<thread>
#include<map>
#include<stack>
#include<numeric>
#include<cassert>
#include<random>
#include<chrono>
#include<unordered_set>
#include<unordered_map>
#include<fstream>
#include<list>
#include<functional>
#include<bitset>
#include<tuple>
#include <cstdio>

using namespace std;

template <class... A>
void prints() { cout << "\n"; }
template <class... A>
void prints_rest() { cout << "\n"; }
template <class T, class... A>
void prints_rest(const T &first, const A &... rest) { cout << " " << first; prints_rest(rest...); }
template <class T, class... A>
void prints(const T &first, const A &... rest) { cout << first; prints_rest(rest...); }
template <class T, class... A>
void printd(const T &first, const A &... rest) { cout << fixed << setprecision(15) << first; prints_rest(rest...); }


namespace {
    // printElems(&a[0], &a[n]);　みたいな感じで使う。
    void printElems(const int* begin, const int* end)
    {
        for (const int* p = begin; p != end; ++p) {
            std::cout << *p << ' ';
        }
        std::cout << std::endl;
    }
}

#define rep(i,n) for(int i=0; i<n; i++)
#define rep1(i,n) for(int i=1; i<n+1; i++)
#define repr(i,n) for(int i=n-1; i>=0; i--)
#define repr1(i,n) for(int i=n; i>0; i--)
#define FOR(i,j,n) for(int i=j; i < n; i++)
#define souatari(i,j,n) rep1(i,n-1)rep(j,i)
#define souatari1(i,j,n) for(int i=2; i<n+1; i++)rep1(j,i-1)
#define mp make_pair
#define F first
#define S second
#define elif else if

typedef long long ll;
typedef vector<int>  vi;
typedef vector<vi>  vvi;
typedef vector<ll> vll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<pii> vpii;
typedef array<int,3> arr3;
typedef long double D;


const ll llinf =  numeric_limits<ll>::max();
const ll _llinf = numeric_limits<ll>::lowest();
const int inf = numeric_limits<int>::max();
const int _inf = numeric_limits<int>::lowest();
const double dinf = numeric_limits<double>::infinity();
const ll MOD = 998244353;
//1000000007;
const ll BIG = 1LL<<60;

template <unsigned P>
struct ModInt
{
        using M = ModInt;
        unsigned v;
        ModInt() : v(0) {}
        ModInt(auto x) : v(x >= 0 ? x % P : (P - -x % P) % P) {}
        constexpr ModInt(unsigned v, int) : v(v) {}
        static constexpr unsigned p() { return P; }
        M operator+() const { return *this; }
        M operator-() const { return {v ? P - v : 0, 0}; }
        explicit operator bool() const noexcept { return v; }
        bool operator!() const noexcept { return !(bool)*this; }
        M operator*(M r) const { return M(*this) *= r; }
        M operator/(M r) const { return M(*this) /= r; }
        M operator+(M r) const { return M(*this) += r; }
        M operator-(M r) const { return M(*this) -= r; }
        bool operator==(M r) const { return v == r.v; }
        bool operator!=(M r) const { return !(*this == r); }
        M &operator*=(M r)
        {
                v = (uint64_t)v * r.v % P;
                return *this;
        }
        M &operator/=(M r) { return *this *= r.inv(); }
        M &operator+=(M r)
        {
                if ((v += r.v) >= P)
                        v -= P;
                return *this;
        }
        M &operator-=(M r)
        {
                if ((v += P - r.v) >= P)
                        v -= P;
                return *this;
        }
        M inv() const
        {
                int a = v, b = P, x = 1, u = 0;
                while (b)
                {
                        int q = a / b;
                        swap(a -= q * b, b);
                        swap(x -= q * u, u);
                }
                assert(a == 1);
                return x;
        }
        M pow(auto n) const
        {
                if (n < 0)
                        return pow(-n).inv();
                M res = 1;
                for (M a = *this; n; a *= a, n >>= 1)
                        if (n & 1)
                                res *= a;
                return res;
        }
        friend M operator*(auto l, M r) { return M(l) *= r; }
        friend M operator/(auto l, M r) { return M(l) /= r; }
        friend M operator+(auto l, M r) { return M(l) += r; }
        friend M operator-(auto l, M r) { return M(l) -= r; }
        friend ostream &operator<<(ostream &os, M r) { return os << r.v; }
        friend istream &operator>>(istream &is, M &r)
        {
                ll x;
                is >> x;
                r = x;
                return is;
        }
        friend bool operator==(auto l, M r) { return M(l) == r; }
        friend bool operator!=(auto l, M r) { return !(l == r); }
};


ModInt<MOD> modpow(ll i, ll n){
    vector<ModInt<MOD>> tmparr;
    vector<bool> b;
    ModInt<MOD> tmp = i;
    ll ntmp = n;
    while(ntmp!=0){
        if (ntmp%2 == 1){b.push_back(true);}else{b.push_back(false);}
        ntmp/=2;
        tmparr.push_back(tmp);
        tmp*=tmp;
    }
    ModInt<MOD> ans = 1;
    rep(i,b.size()) if(b[i]) ans *= tmparr[i];
    return ans;
}


int a[3005];
ModInt<MOD> dp[3005][3005];


int main(){
    int n,s;
    cin >> n >> s;
    rep(i,n) cin >> a[i];
    dp[0][0] = modpow(2,n);

    rep1(i,n)rep(j,3001){
        dp[i][j] += dp[i-1][j];
        if (j-a[i-1]>=0) {ModInt<MOD> tmp = dp[i-1][j-a[i-1]];
        tmp/=2;
        dp[i][j] += tmp;}
    }

    prints(dp[n][s]);




/*  rep(j,4){rep(i,10){ cout << dp[j][i] << ' ';} cout << endl;}
    cout << endl;
*/

    return 0;
}




Measured memory_bytes: 38884