void main()
{
    long n, s;
    rdVals(n, s);
    long[] a = rdRow;

    MInt[][] dp = new MInt[][](n+1, s+1);
    dp[0][0] = MInt(1L);
    foreach (i, x; a)
    {
        foreach (j; 0 .. s+1)
        {
            dp[i+1][j] += 2 * dp[i][j];
            if (j - x < 0) continue;
            dp[i+1][j] += dp[i][j-x];
        }
    }

    dp[n][s].writeln;
}

alias MInt = ModInt!(mod);

struct ModInt(long modulus)
{
    long value;
    this(long value) {this.value = (value + modulus) % modulus;}
    string toString() {return this.value.to!string;}
    ModInt opBinary(string op)(long rhs) if (op == "+" || op == "-" || op == "*") {return typeof(this)(mixin("(this.value "~op~" (rhs % modulus) + modulus) % modulus"));}
    ModInt opBinaryRight(string op)(long lhs) if (op == "+" || op == "-" || op == "*") {return opBinary!(op)(lhs);}
    ModInt opBinary(string op)(ModInt that) if (op == "+" || op == "-" || op == "*") {return typeof(this)(mixin("(this.value "~op~" that.value + modulus) % modulus"));}
    ModInt opBinary(string op)(long divisor) if (op == "/") {return this.value * modPow(divisort, modulus-2);}
    ModInt opBinaryRight(string op)(long dividend) if (op == "/") {return ModInt(dividend).value * modPow(this.value, modulus-2);}
    ModInt opBinary(string op)(ModInt that) if (op == "/") {return this.value * modPow(that.value, modulus-2);}
    ModInt opBinary(string op)(long exponent) if (op == "^^") {return modPow(this.value, exponent);}
    ModInt opBinaryRight(string op)(long base) if (op == "^^") {return modPow(base, this.value);}
    ModInt opBinary(string op)(ModInt that) if (op == "^^") {return modPow(this.value, that.value);}
    ModInt opOpAssign(string op)(long rhs) {return this = opBinary!(op)(rhs);}
    ModInt opOpAssign(string op)(ModInt that) {return this = opBinary!(op)(that);}
    ModInt modPow(long base, long exponent)
    {
        ModInt result = 1;
        while (exponent > 0)
        {
            if (exponent & 1) result = result * base;
            base = base * base % modulus;
            exponent >>= 1;
        }
        return result;
    }
}

enum long mod = 998244353;
enum long inf = 1L << 60;
enum double eps = 1.0e-9;

T rdElem(T = long)()
if (!is(T == struct))
{
    return readln.chomp.to!T;
}

alias rdStr = rdElem!string;
alias rdDchar = rdElem!(dchar[]);

T rdElem(T)()
if (is(T == struct))
{
    T result;
    string[] input = rdRow!string;
    assert(T.tupleof.length == input.length);
    foreach (i, ref x; result.tupleof)
    {
        x = input[i].to!(typeof(x));
    }
    return result;
}

T[] rdRow(T = long)()
{
    return readln.split.to!(T[]);
}

T[] rdCol(T = long)(long col)
{
    return iota(col).map!(x => rdElem!T).array;
}

T[][] rdMat(T = long)(long col)
{
    return iota(col).map!(x => rdRow!T).array;
}

void rdVals(T...)(ref T data)
{
    string[] input = rdRow!string;
    assert(data.length == input.length);
    foreach (i, ref x; data)
    {
        x = input[i].to!(typeof(x));
    }
}

void wrMat(T = long)(T[][] mat)
{
    foreach (row; mat)
    {
        foreach (j, compo; row)
        {
            compo.write;
            if (j == row.length - 1) writeln;
            else " ".write;
        }
    }
}

import std.stdio;
import std.string;
import std.array;
import std.conv;
import std.algorithm;
import std.range;
import std.math;
import std.numeric;
import std.mathspecial;
import std.traits;
import std.container;
import std.functional;
import std.typecons;
import std.ascii;
import std.uni;
import core.bitop;