#include <bits/stdc++.h>

using namespace std;

//using ll = int64_t;
using ll = long long;
using ull = uint64_t;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using ld = double;

#define X first
#define Y second

#ifndef ONLINE_JUDGE
#define FWRITE
#endif

namespace io
{

#ifndef FWRITE
#include <unistd.h>
	auto unistd_read = read;
	auto unistd_write = write;
#endif
	const int BUFSIZE = 1 << 20;

	int isize, osize;
	char ibuf[BUFSIZE + 10], obuf[BUFSIZE + 10];
	char* is, * it, * os = obuf, * ot = obuf + BUFSIZE;

	char getchar()
	{
		if (is == it)
		{
			is = ibuf;
#ifdef FWRITE
			it = ibuf + fread(ibuf, 1, BUFSIZE, stdin);
#else
			it = ibuf + unistd_read(STDIN_FILENO, ibuf, BUFSIZE);
#endif
			if (is == it) return EOF;
		}
		return *is++;
	}

	char getalpha()
	{
		char c = getchar();
		while (!isalpha(c)) c = getchar();
		return c;
	}

	void putchar(char c)
	{
		*os++ = c;
		if (os == ot)
		{
#ifdef FWRITE
			fwrite(obuf, 1, BUFSIZE, stdout);
#else
			unistd_write(STDOUT_FILENO, obuf, BUFSIZE);
#endif
			os = obuf;
		}
	}

	int inp() {
		int x = 0, f = 0; char ch;
		for (ch = getchar(); !isdigit(ch); ch = getchar())
		{
			if (ch == EOF) return -1;
			if (ch == '-') f = 1;
		}
		for (; isdigit(ch); x = x * 10 + ch - '0', ch = getchar());
		return f ? -x : x;
	}

	ll inp_ll() {
		ll x = 0; int f = 0; char ch;
		for (ch = getchar(); !isdigit(ch); ch = getchar())
			if (ch == '-') f = 1;
		for (; isdigit(ch); x = x * 10 + ch - '0', ch = getchar());
		return f ? -x : x;
	}

	template<class T>
	bool read(T& x)
	{
		x = 0;
		int f = 0; char ch;
		for (ch = getchar(); !isdigit(ch); ch = getchar())
		{
			if (ch == EOF) return 0;
			if (ch == '-') f = 1;
		}
		for (; isdigit(ch); x = x * 10 + ch - '0', ch = getchar());
		if (f) x = -x;
		return 1;
	}

	bool read(char* s)
	{
		char* t = s;
		char ch = getchar();
		for (; ch == ' ' || ch == '\n'; ch = getchar());
		for (; ch != ' ' && ch != '\n' && ch != EOF; ch = getchar())
			*t++ = ch;
		*t = 0;
		return s != t;
	}

	template<class T, class... Args>
	bool read(T& x, Args&... args)
	{
		return read(x) && read(args...);
	}

	template<class T>
	bool readln(T& x)
	{
		x = 0;
		int f = 0; char ch;
		for (ch = getchar(); !isdigit(ch); ch = getchar())
		{
			if (ch == EOF) return 0;
			if (ch == '-') f = 1;
		}
		for (; isdigit(ch); x = x * 10 + ch - '0', ch = getchar());
		if (f) x = -x;
		for (; ch != '\n' && ch != EOF; ch = getchar());
		return 1;
	}

	bool readln(char* s)
	{
		char* t = s;
		while (1)
		{
			char ch = getchar();
			if (ch == '\n' || ch == EOF) break;
			*t++ = ch;
		}
		*t = 0;
		return s != t;
	}

	template<class T, class... Args>
	bool readln(T& x, Args&... args)
	{
		return read(x) && readln(args...);
	}

	template<class T>
	void write(T x)
	{
		static char s[22];
		static char* it = s + 20;
		static char* end = s + 20;

		if (x < 0)
		{
			putchar('-');
			x = -x;
		}

		do
		{
			*--it = x % 10 + '0';
			x /= 10;
		} while (x);
		/*
		if (!x)
			*-- it = '0';
		while (x)
		{
			*-- it = x%10+'0';
			x /= 10;
		}
		*/
		for (; it < end; ++it)
			putchar(*it);
	}

	void write(const char* s)
	{
		for (; *s; ++s) putchar(*s);
	}

	template<>
	void write(char* s)
	{
		write((const char*)s);
	}

	template<>
	void write(char c)
	{
		putchar(c);
	}

	template<class T, class... Args>
	void write(T x, Args... args)
	{
		write(x);
		write(args...);
	}

	void writeln()
	{
		putchar('\n');
	}

	template<class T, class... Args>
	void writeln(T x, Args... args)
	{
		write(x);
		writeln(args...);
	}

	template<class Iterator>
	bool input(Iterator st, Iterator ed)
	{
		for (; st != ed; ++st)
		{
			if (!read(*st)) return false;
		}
		return true;
	}

	template<class T>
	bool input(T& a)
	{
		input(a.begin(), a.end());
	}

	template<class Iterator>
	void print(Iterator st, Iterator ed, const char* c = " ")
	{
		int flag = 0;
		for (; st != ed; ++st)
		{
			if (flag) write(c);
			flag = 1;
			write(*st);
		}
		writeln();
	}

	template<class T>
	void print(const T& a, const char* c = " ")
	{
		print(a.begin(), a.end(), c);
	}

	struct ender
	{
		~ender()
		{
			if (os != obuf)
#ifdef FWRITE
				fwrite(obuf, 1, os - obuf, stdout);
#else
				unistd_write(STDOUT_FILENO, obuf, os - obuf);
#endif
		}
	}__ender;

}

int64_t power(int64_t a, int64_t b, int64_t p)
{
	if (!b) return 1;
	int64_t t = power(a, b >> 1, p);
	t = t * t % p;
	if (b & 1) t = t * a % p;
	return t;
}

//mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());

using namespace io;

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

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

const ll B = 31;
//const ll MOD = 1000000007;
const int INF = 1000000010;
const ll INFll = 4000000000000000000LL;
const int MAXN = 500010;

//int dx[] = { -1, 1, 0, 0, -1, -1, 1, 1 };
//int dy[] = { 0, 0, -1, 1, -1, 1, -1, 1 };

ld det(ld x1, ld y1, ld x2, ld y2, ld x3, ld y3)
{
	return x1 * y2 - x2 * y1 + x2 * y3 - x3 * y2 + x3 * y1 - x1 * y3;
}

const int MOD = 998244353;

struct mod_int {
    int val;

    mod_int(long long v = 0) {
        if (v < 0)
            v = v % MOD + MOD;

        if (v >= MOD)
            v %= MOD;

        val = v;
    }

    static int mod_inv(int a, int m = MOD) {
        // https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Example
        int g = m, r = a, x = 0, y = 1;

        while (r != 0) {
            int q = g / r;
            g %= r; swap(g, r);
            x -= q * y; swap(x, y);
        }

        return x < 0 ? x + m : x;
    }

    explicit operator int() const {
        return val;
    }

    mod_int& operator+=(const mod_int& other) {
        val += other.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }

    mod_int& operator-=(const mod_int& other) {
        val -= other.val;
        if (val < 0) val += MOD;
        return *this;
    }

    static unsigned fast_mod(uint64_t x, unsigned m = MOD) {
        return x % m;
    }

    mod_int& operator*=(const mod_int& other) {
        val = fast_mod((uint64_t)val * other.val);
        return *this;
    }

    mod_int& operator/=(const mod_int& other) {
        return *this *= other.inv();
    }

    friend mod_int operator+(const mod_int& a, const mod_int& b) { return mod_int(a) += b; }
    friend mod_int operator-(const mod_int& a, const mod_int& b) { return mod_int(a) -= b; }
    friend mod_int operator*(const mod_int& a, const mod_int& b) { return mod_int(a) *= b; }
    friend mod_int operator/(const mod_int& a, const mod_int& b) { return mod_int(a) /= b; }

    mod_int& operator++() {
        val = val == MOD - 1 ? 0 : val + 1;
        return *this;
    }

    mod_int& operator--() {
        val = val == 0 ? MOD - 1 : val - 1;
        return *this;
    }

    mod_int operator++(int) { mod_int before = *this; ++* this; return before; }
    mod_int operator--(int) { mod_int before = *this; --* this; return before; }

    mod_int operator-() const {
        return val == 0 ? 0 : MOD - val;
    }

    bool operator==(const mod_int& other) const { return val == other.val; }
    bool operator!=(const mod_int& other) const { return val != other.val; }

    mod_int inv() const {
        return mod_inv(val);
    }

    mod_int pow(long long p) const {
        assert(p >= 0);
        mod_int a = *this, result = 1;

        while (p > 0) {
            if (p & 1)
                result *= a;

            a *= a;
            p >>= 1;
        }

        return result;
    }

    friend ostream& operator<<(ostream& stream, const mod_int& m) {
        return stream << m.val;
    }
};

const mod_int INV2 = mod_int(2).inv();

namespace NTT {
    vector<mod_int> roots = { 0, 1 };
    vector<int> bit_reverse;
    int max_size = -1;
    mod_int root;

    bool is_power_of_two(int n) {
        return (n & (n - 1)) == 0;
    }

    int round_up_power_two(int n) {
        assert(n > 0);

        while (n & (n - 1))
            n = (n | (n - 1)) + 1;

        return n;
    }

    // Given n (a power of two), finds k such that n == 1 << k.
    int get_length(int n) {
        assert(is_power_of_two(n));
        return __builtin_ctz(n);
    }

    // Rearranges the indices to be sorted by lowest bit first, then second lowest, etc., rather than highest bit first.
    // This makes even-odd div-conquer much easier.
    void bit_reorder(int n, vector<mod_int>& values) {
        if ((int)bit_reverse.size() != n) {
            bit_reverse.assign(n, 0);
            int length = get_length(n);

            for (int i = 0; i < n; i++)
                bit_reverse[i] = (bit_reverse[i >> 1] >> 1) + ((i & 1) << (length - 1));
        }

        for (int i = 0; i < n; i++)
            if (i < bit_reverse[i])
                swap(values[i], values[bit_reverse[i]]);
    }

    void find_root() {
        int order = MOD - 1;
        max_size = 1;

        while (order % 2 == 0) {
            order /= 2;
            max_size *= 2;
        }

        root = 2;

        // Find a max_size-th primitive root of MOD.
        while (!(root.pow(max_size) == 1 && root.pow(max_size / 2) != 1))
            root++;
    }

    void prepare_roots(int n) {
        if (max_size < 0)
            find_root();

        assert(n <= max_size);

        if ((int)roots.size() >= n)
            return;

        int length = get_length(roots.size());
        roots.resize(n);

        // The roots array is set up such that for a given power of two n >= 2, roots[n / 2] through roots[n - 1] are
        // the first half of the n-th primitive roots of MOD.
        while (1 << length < n) {
            // z is a 2^(length + 1)-th primitive root of MOD.
            mod_int z = root.pow(max_size >> (length + 1));

            for (int i = 1 << (length - 1); i < 1 << length; i++) {
                roots[2 * i] = roots[i];
                roots[2 * i + 1] = roots[i] * z;
            }

            length++;
        }
    }

    void fft_iterative(int N, vector<mod_int>& values) {
        assert(is_power_of_two(N));
        prepare_roots(N);
        bit_reorder(N, values);

        for (int n = 1; n < N; n *= 2)
            for (int start = 0; start < N; start += 2 * n)
                for (int i = 0; i < n; i++) {
                    mod_int even = values[start + i];
                    mod_int odd = values[start + n + i] * roots[n + i];
                    values[start + n + i] = even - odd;
                    values[start + i] = even + odd;
                }
    }

    const int FFT_CUTOFF = 150;

    vector<mod_int> mod_multiply(vector<mod_int> left, vector<mod_int> right) {
        int n = left.size();
        int m = right.size();

        // Brute force when either n or m is small enough.
        if (min(n, m) < FFT_CUTOFF) {
            const uint64_t ULL_BOUND = numeric_limits<uint64_t>::max() - (uint64_t)MOD * MOD;
            vector<uint64_t> result(n + m - 1);

            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++) {
                    result[i + j] += (uint64_t)((int)left[i]) * ((int)right[j]);

                    if (result[i + j] > ULL_BOUND)
                        result[i + j] %= MOD;
                }

            for (uint64_t& x : result)
                if (x >= MOD)
                    x %= MOD;

            return vector<mod_int>(result.begin(), result.end());
        }

        int N = round_up_power_two(n + m - 1);
        left.resize(N);
        right.resize(N);

        bool equal = left == right;
        fft_iterative(N, left);

        if (equal)
            right = left;
        else
            fft_iterative(N, right);

        mod_int inv_N = mod_int(N).inv();

        for (int i = 0; i < N; i++)
            left[i] *= right[i] * inv_N;

        reverse(left.begin() + 1, left.end());
        fft_iterative(N, left);
        left.resize(n + m - 1);
        return left;
    }

    vector<mod_int> mod_power(const vector<mod_int>& v, int exponent) {
        assert(exponent >= 0);
        vector<mod_int> result = { 1 };

        if (exponent == 0)
            return result;

        for (int k = 31 - __builtin_clz(exponent); k >= 0; k--) {
            result = mod_multiply(result, result);

            if (exponent >> k & 1)
                result = mod_multiply(result, v);
        }

        return result;
    }
}

using poly = vector<mod_int>;

vector<mod_int> inv, factorial, inv_factorial;

void prepare_factorials(int maximum) {
	inv.assign(maximum + 1, 1);

	// Make sure MOD is prime, which is necessary for the inverse algorithm below.
	for (int p = 2; p * p <= MOD; p++)
		assert(MOD % p != 0);

	for (int i = 2; i <= maximum; i++)
		inv[i] = inv[MOD % i] * (MOD - MOD / i);

	factorial.resize(maximum + 1);
	inv_factorial.resize(maximum + 1);
	factorial[0] = inv_factorial[0] = 1;

	for (int i = 1; i <= maximum; i++) {
		factorial[i] = i * factorial[i - 1];
		inv_factorial[i] = inv[i] * inv_factorial[i - 1];
	}
}

// a*n mod x^n
poly poly_multiply(const poly& a, const poly& b, int n)
{
	auto c = NTT::mod_multiply(a, b);
	c.resize(n);
	return c;
}

// a^{-1} mod x^n
poly poly_inverse(const poly& a, int n)
{
	if (n == 1)
	{
		assert(a[0] != 0);
		return poly{ a[0].inv() };
	}
	int m = (n + 1) / 2;
	poly b(a.begin(), a.begin() + m);
	b = poly_inverse(b, m);
	auto c = poly_multiply(b, a, n);
	for (int i = 0; i < n; ++i) c[i] = -c[i];
	c[0] += 2;
	return poly_multiply(b, c, n);
}

// sqrt(a) mod x^n provided that a(0) = 1
poly poly_sqrt(const poly& a, int n)
{
	if (n == 1)
	{
		assert(a[0] == 1);
		return poly{ 1 };
	}
	int m = (n + 1) / 2;
	poly b(a.begin(), a.begin() + m);
	b = poly_sqrt(b, m);
	b.resize(n);
	auto c = poly_multiply(poly_inverse(b, n), a, n);
	for (int i = 0; i < m; ++i)
		c[i] += b[i];
	for (int i = 0; i < n; ++i)
		c[i] *= INV2;
	return c;
}

void solve()
{
	int n = inp();
	int s = inp();
	poly res(s + 1);
	res[0] = 1;
	for (int i = 1; i <= n; ++i)
	{
		int x = inp();
		if (x <= s)
		{
			poly a(s + 1);
			a[0] = 1;
			a[x] = INV2;
			res = poly_multiply(res, a, s + 1);
		}
	}
	auto ans = res[s] * mod_int(2).pow(n);
	writeln(int(ans));
}

int main()
{

	int T = 1;
	//read(T);
	for (int test = 1; test <= T; ++test)
	{
		//write("Case #", test, ": ");
		solve();
	}

	return 0;
}

Measured memory_bytes: 3760