#include <bits/stdc++.h>
#define repi(i,a,b) for(int i=(int)(a);i<(int)(b);++i)
#define rrepi(i,a,b) for(int i=((int)(b)-1);i>=(a);--i)
#define rep(i,n) repi(i,0,n)
#define rrep(i,n) rrepi(i,0,n)
#define ALL(x) (x).begin(),(x).end()
#define SZ(x) ((int)(x).size())
#define ZERO(x) memset(x,0,sizeof(x))
#define MINUS(x) memset(x,-1,sizeof(x))
#define UNIQUE(x) (x).erase(unique(ALL(x)), (x).end())
#define TOUPPER(x) transform(ALL(x), (x).begin(), ::toupper)
#define TOLOWER(x) transform(ALL(x), (x).begin(), ::tolower)
#define debug(var)  do{std::cout << #var << " : "; view(var);}while(0)
#define fi first
#define se second
using namespace std;
using ll = long long;
using P = pair<int,int>;
template<typename T> void view(const std::vector<T>& v){for(const auto& e : v){ std::cout << e << " "; } std::cout << std::endl;}
template<typename T> void view(const std::vector<std::vector<T> >& vv){for(const auto& v : vv){ view(v); } }
template<typename T> void view(T e){std::cout << e << std::endl;}
template<typename T> void viewarr(T arr[], int n) { for(int i = 0; i < n; ++i) std::cout << arr[i] << " "; std::cout << std::endl; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
ll qp(ll a,ll b){ll ans=1;do{if(b&1)ans=1ll*ans*a;a=1ll*a*a;}while(b>>=1);return ans;}
ll qp(ll a,ll b,ll mo){ll ans=1;do{if(b&1)ans=1ll*ans*a%mo;a=1ll*a*a%mo;}while(b>>=1);return ans;}
int gcd(int a,int b){return b?gcd(b,a%b):a;}
int dx[4]={1,0,-1,0};
int dy[4]={0,1,0,-1};
const int INF = 1e9;
const ll INFL = 1e18;
const int MOD = 998244353;
const int MAX_N = 1e5;

struct mint {
    ll x;
    mint(ll x=0):x((x%MOD+MOD)%MOD){}
    mint operator-() const {return mint(-x);}
    mint& operator+=(const mint a) {
        if((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint a) {
        if((x += MOD-a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator*=(const mint a) {
        (x *= a.x) %= MOD;
        return *this;
    }
    mint operator+(const mint a) const {
        mint res(*this);
        return res+=a;
    }
    mint operator-(const mint a) const {
        mint res(*this);
        return res-=a;
    }
    mint operator*(const mint a) const {
        mint res(*this);
        return res*=a;
    }
    mint pow(ll t) const {
        if(!t) return 1;
        mint a = pow(t>>1);
        a *= a;
        if(t&1) a *= *this;
        return a;
    }

    mint inv() const {
        return pow(MOD-2);
    }
    mint& operator/=(const mint a) {
        return (*this) *= a.inv();
    }
    mint operator/(const mint a) {
        mint res(*this);
        return res/=a;
    }
};
istream& operator>>(istream& is, const mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}


int main() {
    int N, S; cin >> N >> S;
    vector<int> A(N);
    rep(i,N) cin >> A[i];
    vector<mint> dp(S+1);
    dp[0] = 1;
    rep(i,N) {
        vector<mint> P(S+1);
        swap(dp, P);
        rep(j,S+1) {
            dp[j] += P[j]*2;
            if(A[i] + j <= S) {
                dp[A[i] + j] += P[j];
            }
        }
    }
    cout << dp[S] << endl;
    return 0;
}


Measured memory_bytes: 3672