#ifdef t9unkubj
#include"template.h"
//#include"template_no_debug.h"
#else
#undef _GLIBCXX_DEBUG
#pragma GCC optimize("O3")
#define dbg(...) 199958
using namespace std;
#include<bits/stdc++.h>
using uint=unsigned;
using ll=long long;
using ull=unsigned long long;
using ld=long double;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
template<class T>using vc=vector<T>;
template<class T>using vvc=vc<vc<T>>;
template<class T>using vvvc=vvc<vc<T>>;
using vi=vc<int>;
using vvi=vc<vi>;
using vvvi=vc<vvi>;
using vl=vc<ll>;
using vvl=vc<vl>;
using vvvl=vc<vvl>;
template<class T>using smpq=priority_queue<T,vector<T>,greater<T>>;
template<class T>using bipq=priority_queue<T>;
#define rep(i,n) for(ll i=0;i<(ll)(n);i++)
#define REP(i,j,n) for(ll i=(j);i<(ll)(n);i++)
#define DREP(i,n,m) for(ll i=(n);i>=(m);i--)
#define drep(i,n) for(ll i=((n)-1);i>=0;i--)
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define is insert
#define bg begin()
#define ed end()
void scan(int&a) { cin >> a; }
void scan(ll&a) { cin >> a; }
void scan(string&a) { cin >> a; }
void scan(char&a) { cin >> a; }
void scan(uint&a) { cin >> a; }
void scan(ull&a) { cin >> a; }
void scan(bool&a) { cin >> a; }
void scan(ld&a){ cin>> a;}
template<class T> void scan(vector<T>&a) { for(auto&x:a) scan(x); }
void read() {}
template<class Head, class... Tail> void read(Head&head, Tail&... tail) { scan(head); read(tail...); }
#define INT(...) int __VA_ARGS__; read(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; read(__VA_ARGS__);
#define ULL(...) ull __VA_ARGS__; read(__VA_ARGS__);
#define STR(...) string __VA_ARGS__; read(__VA_ARGS__);
#define CHR(...) char __VA_ARGS__; read(__VA_ARGS__);
#define DBL(...) double __VA_ARGS__; read(__VA_ARGS__);
#define LD(...) ld __VA_ARGS__; read(__VA_ARGS__);
#define VC(type, name, ...) vector<type> name(__VA_ARGS__); read(name);
#define VVC(type, name, size, ...) vector<vector<type>> name(size, vector<type>(__VA_ARGS__)); read(name);
void print(int a) { cout << a; }
void print(ll a) { cout << a; }
void print(string a) { cout << a; }
void print(char a) { cout << a; }
void print(uint a) { cout << a; }
void print(bool a) { cout << a; }
void print(ull a) { cout << a; }
void print(double a) { cout << a; }
void print(ld a){ cout<< a; }
template<class T> void print(vector<T>a) { for(int i=0;i<(int)a.size();i++){if(i)cout<<" ";print(a[i]);}cout<<endl;}
void PRT() { cout <<endl; return ; }
template<class T> void PRT(T a) { print(a); cout <<endl; return; }
template<class Head, class... Tail> void PRT(Head head, Tail ... tail) { print(head); cout << " "; PRT(tail...); return; }
template<class T,class F>
bool chmin(T &x, F y){
    if(x>y){
        x=y;
        return true;
    }
    return false;
}
template<class T, class F>
bool chmax(T &x, F y){
    if(x<y){
        x=y;
        return true;
    }
    return false;
}
void YesNo(bool b){
    cout<<(b?"Yes":"No")<<endl;
}
void Yes(){
    cout<<"Yes"<<endl;
}
void No(){
    cout<<"No"<<endl;
}
template<class T>
int popcount(T n){
    return __builtin_popcountll(n);
}
template<class T>
T sum(vc<T>&a){
    return accumulate(all(a),T(0));
}
template<class T>
T max(vc<T>&a){
    return *max_element(all(a));
}
template<class T>
T min(vc<T>&a){
    return *min_element(all(a));
}
template<class T>
void unique(vc<T>&a){
    a.erase(unique(all(a)),a.end());
}
vvi readgraph(int n,int m,int off = -1){
    vvi g(n);
    rep(i, m){
        int u,v;
        cin>>u>>v;
        u+=off,v+=off;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    return g;
}
vvi readtree(int n,int off=-1){
    return readgraph(n,n-1,off);
}
template<class T>
vc<T> presum(vc<T> &a){
    vc<T> ret(a.size()+1);
    rep(i,a.size())ret[i+1]=ret[i]+a[i];
    return ret;
}
template<class T, class F>
vc<T> &operator+=(vc<T> &a,F b){
    for (auto&v:a)v += b;
    return a;
}
template<class T, class F>
vc<T> &operator-=(vc<T>&a,F b){
    for (auto&v:a)v-=b;
    return a;
}
template<class T, class F>
vc<T> &operator*=(vc<T>&a,F b){
    for (auto&v:a)v*=b;
    return a;
}
#endif
double pass_time=0;
#pragma once
template<class T,class G,class F>
F modpow(T x,G p,F m){
    T ret=1%m;
    x%=m;
    while(p){
        if(p&1)ret=(1ll*ret*x)%m;
        x=(1ll*x*x)%m;
        p>>=1;
    }
    return ret;
}
template<class T>
T extgcd(T a,T b,T&x,T&y){//ax+by=gcd(a,b)となるようなもの
    if(b==0){
        x=1;
        y=0;
        return a;
    }else{
        T res=extgcd(b,a%b,y,x);
        y-=(a/b)*x;
        return res;
    }
}
template<class T>
pair<T,T> inv(T x,T m){
    T a1,a2;
    T res=extgcd(x,m,a1,a2);
    return {a1,m/res};
}
constexpr int mod=998244353;
struct mint{
    long long val;
    inline long long fast(long long x){
        if(x<mod&&x>=0)return x;
        x%=mod;
        if(x<0)x+=mod;
        return x;
    }
    mint():val(0){}
    mint(long long val):val(fast(val)){}
    mint power(long long m)const {
        mint res(1);
        mint ret(*this);
        while(m){
           if(m&1)res*=ret;
           ret*=ret;
           m>>=1;
        }
        return res;
    }
    mint& operator++() {
        val++;
        if (val == mod) val = 0;
        return *this;
    }
    mint& operator--() {
        if (val == 0)val=mod;
        val--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    mint operator-() const { 
      return mint(-val);
    }
    friend mint operator +(const mint&a,const mint&b) noexcept{
        return mint(a)+=b;
    }
    friend mint operator -(const mint&a,const mint&b) noexcept{
        return mint(a)-=b;
    }
    friend mint operator *(const mint&a,const mint&b) noexcept{
        return mint(a)*=b;
    }
    friend mint operator /(const mint&a,const mint&b) noexcept{
        return mint(a)/=b;
    }
    mint& operator+=(const mint&a)noexcept{
        val+=a.val;
        if(val>=mod)val-=mod;
        return *this;
    }
    mint& operator-=(const mint&a)noexcept{
        val-=a.val;
        if(val<0)val+=mod;
        return *this;
    }
    mint& operator*=(const mint&a){
        val*=a.val;
        val=fast(val);
        return *this;
    }
    mint& operator/=(const mint&a){
        val*=inv<long long>(a.val,mod).first;
        val=fast(val);
        return *this;
    }
    bool operator == (const mint&x)const noexcept{
        return this->val==x.val;
    }
    bool operator != (const mint&x)const noexcept{
        return this->val!=x.val;
    }
    friend ostream& operator << (ostream &os, const mint &x) noexcept {
        return os << x.val;
    }
    friend istream& operator >> (istream &is,  mint &x) noexcept {
        long long v;
        is >> v;
        x=mint(v);
        return is;
    }
};
vector<mint>fact(1,1),invfact(1,1);
void build(int n){
    if(n<(int)fact.size())return;
    fact=invfact=vector<mint>(n+1);
    fact[0]=1;
    for(int i=1;i<=n;i++)fact[i]=fact[i-1]*i;
    invfact[n]=(1/fact[n]);
    for(int i=n-1;i>=0;i--)invfact[i]=invfact[i+1]*(i+1);
}
mint C(int a,int b){//aCb
    if(a<0||b<0||a-b<0)return mint(0);
    while((int)fact.size()<=a){
        fact.push_back(fact.back()*(fact.size()));
    }
    while((int)invfact.size()<=a){
        invfact.push_back(invfact.back()/invfact.size());
    }
    return fact[a]*invfact[b]*invfact[a-b];
}
mint P(int a,int b){
    if(a<b||b<0)return 0;
    return fact[a]*invfact[a-b];
}
//a個のものからb個を重複を許して選ぶ
mint H(int a,int b){
    return C(a+b-1,b);
}
void print(mint a) { cout << a; }
template<class T>
pair<T,T> mod_solve(T a,T b,T m){//ax=b mod mとなるxを返す
    a%=m,b%=m;if(a<0)a+=m;if(b<0)b+=m;
    T g=gcd(gcd(a,b),m);
    a/=g,b/=g,m/=g;
    if(gcd(a,m)>1)return {-1,-1};
    return {(inv(a,m).first*b)%m,inv(a,m).second};
}
namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}

// Fast modular multiplication by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
    unsigned int _m;
    unsigned long long im;

    // @param m `1 <= m < 2^31`
    barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}

    // @return m
    unsigned int umod() const { return _m; }

    // @param a `0 <= a < m`
    // @param b `0 <= b < m`
    // @return `a * b % m`
    unsigned int mul(unsigned int a, unsigned int b) const {
        // [1] m = 1
        // a = b = im = 0, so okay

        // [2] m >= 2
        // im = ceil(2^64 / m)
        // -> im * m = 2^64 + r (0 <= r < m)
        // let z = a*b = c*m + d (0 <= c, d < m)
        // a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
        // c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) < 2^64 * 2
        // ((ab * im) >> 64) == c or c + 1
        unsigned long long z = a;
        z *= b;
#ifdef _MSC_VER
        unsigned long long x;
        _umul128(z, im, &x);
#else
        unsigned long long x =
            (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
        unsigned int v = (unsigned int)(z - x * _m);
        if (_m <= v) v += _m;
        return v;
    }
};

// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}

// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0) d /= 2;
    constexpr long long bases[3] = {2, 7, 61};
    for (long long a : bases) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) {
            return false;
        }
    }
    return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);

// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};

    // Contracts:
    // [1] s - m0 * a = 0 (mod b)
    // [2] t - m1 * a = 0 (mod b)
    // [3] s * |m1| + t * |m0| <= b
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;

    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u;  // |m1 * u| <= |m1| * s <= b

        // [3]:
        // (s - t * u) * |m1| + t * |m0 - m1 * u|
        // <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
        // = s * |m1| + t * |m0| <= b

        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    // by [3]: |m0| <= b/g
    // by g != b: |m0| < b/g
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}

// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0) x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) {
                x /= i;
            }
        }
    }
    if (x > 1) {
        divs[cnt++] = x;
    }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);

}  // namespace internal

void butterfly(std::vector<mint>& a) {
    static constexpr int g = internal::primitive_root<mod>;
    int n = int(a.size());
    int h = internal::ceil_pow2(n);

    static bool first = true;
    static mint sum_e[30];  // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
    if (first) {
        first = false;
        mint es[30], ies[30];  // es[i]^(2^(2+i)) == 1
        int cnt2 = internal::bsf(mod - 1);
        mint e = mint(g).power((mod - 1) >> cnt2), ie = 1/e;
        for (int i = cnt2; i >= 2; i--) {
            // e^(2^i) == 1
            es[i - 2] = e;
            ies[i - 2] = ie;
            e *= e;
            ie *= ie;
        }
        mint now = 1;
        for (int i = 0; i <= cnt2 - 2; i++) {
            sum_e[i] = es[i] * now;
            now *= ies[i];
        }
    }
    for (int ph = 1; ph <= h; ph++) {
        int w = 1 << (ph - 1), p = 1 << (h - ph);
        mint now = 1;
        for (int s = 0; s < w; s++) {
            int offset = s << (h - ph + 1);
            for (int i = 0; i < p; i++) {
                auto l = a[i + offset];
                auto r = a[i + offset + p] * now;
                a[i + offset] = l + r;
                a[i + offset + p] = l - r;
            }
            now *= sum_e[internal::bsf(~(unsigned int)(s))];
        }
    }
}

void butterfly_inv(std::vector<mint>& a) {
    static constexpr int g = internal::primitive_root<mod>;
    int n = int(a.size());
    int h = internal::ceil_pow2(n);

    static bool first = true;
    static mint sum_ie[30];  // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
    if (first) {
        first = false;
        mint es[30], ies[30];  // es[i]^(2^(2+i)) == 1
        int cnt2 = internal::bsf(mod - 1);
        mint e = mint(g).power((mod - 1) >> cnt2), ie = 1/e;
        for (int i = cnt2; i >= 2; i--) {
            // e^(2^i) == 1
            es[i - 2] = e;
            ies[i - 2] = ie;
            e *= e;
            ie *= ie;
        }
        mint now = 1;
        for (int i = 0; i <= cnt2 - 2; i++) {
            sum_ie[i] = ies[i] * now;
            now *= es[i];
        }
    }

    for (int ph = h; ph >= 1; ph--) {
        int w = 1 << (ph - 1), p = 1 << (h - ph);
        mint inow = 1;
        for (int s = 0; s < w; s++) {
            int offset = s << (h - ph + 1);
            for (int i = 0; i < p; i++) {
                auto l = a[i + offset];
                auto r = a[i + offset + p];
                a[i + offset] = l + r;
                a[i + offset + p] =
                    (unsigned long long)(mod + l.val - r.val) *
                    inow.val;
            }
            inow *= sum_ie[internal::bsf(~(unsigned int)(s))];
        }
    }
}
vector<mint>ntt(const vector<mint>&A,const vector<mint>&B){
    auto a=A,b=B;
    int alen=a.size();
    int blen=b.size();
    int clen=alen+blen-1;

    int n=1;
    while(n<=clen)n*=2;

    int log=1;
    while((1<<log)<n)log++; 
    a.resize(n);
    b.resize(n);

    butterfly(a);
    butterfly(b);

    for(int i=0;i<n;i++)a[i]*=b[i];
    butterfly_inv(a);
    
    mint invn=1/mint(n);
    for(int i=0;i<clen;i++){
        a[i]*=invn;
    }

    a.resize(clen);
    return a;
}  
    
struct FPS{
    using poly=vector<mint>;
    poly p;
    FPS():p(){}
    explicit FPS(mint a):p(1,a){}
    FPS(poly p):p(p){}
    explicit FPS(int size,mint val):p(size,val){}
    int size() const {
        return int(p.size());
    }
    mint&operator[](int i) {
        return p[i];
    }
    FPS operator-() const {
        auto res=p;
        for(auto&x:res)x=-x;
        return res;
    }
    FPS&operator+=(const FPS& a) noexcept {
        if(p.size()<a.size())p.resize(a.size());
        for(int i=0;i<int(a.size());i++){
            p[i]+=a.p[i];
        }
        return *this;
    }
    FPS&operator-=(const FPS& a) noexcept {
        return (*this)+=(-a);
    }
    FPS&operator*=(const FPS& a) noexcept {
        p=ntt(p,a.p);
        return *this;
    }
    FPS&operator/=(const FPS& a) noexcept {
        return (*this)*=a.inv();
    }
    FPS&operator+=(const mint& a) noexcept {
        p[0]+=a;
        return *this;
    }
    FPS&operator-=(const mint& a) noexcept {
        return (*this)+=(-a);
    }
    FPS&operator*=(const mint& a) noexcept {
        for(auto&x:p)x*=a;
        return *this;
    }
    FPS&operator/=(const mint& a) noexcept {
        mint inv=1/a;
        for(auto&x:p)x*=inv;
        return *this;
    }
    FPS&operator<<=(int i) noexcept {
        reverse(p.begin(),p.end());
        while(i--)p.push_back(0);
        reverse(p.begin(),p.end());
        return *this;
    }
    FPS&operator>>=(int i) noexcept {
        reverse(p.begin(),p.end());
        while(i--)p.pop_back();
        reverse(p.begin(),p.end());
        return *this;
    }
    friend FPS operator +(const FPS&a,const FPS&b) noexcept{return FPS(a)+=b;}
    friend FPS operator -(const FPS&a,const FPS&b) noexcept{return FPS(a)-=b;}
    friend FPS operator *(const FPS&a,const FPS&b) noexcept{return FPS(a)*=b;}
    friend FPS operator /(const FPS&a,const FPS&b) noexcept{return FPS(a)/=b;}
    friend FPS operator +(const FPS&a,const mint&b) noexcept{return FPS(a)+=b;}
    friend FPS operator -(const FPS&a,const mint&b) noexcept{return FPS(a)-=b;}
    friend FPS operator *(const FPS&a,const mint&b) noexcept{return FPS(a)*=b;}
    friend FPS operator /(const FPS&a,const mint&b) noexcept{return FPS(a)/=b;}
    friend FPS operator <<(const FPS&a,const int i) noexcept{return FPS(a)<<=i;}
    friend FPS operator >>(const FPS&a,const int i) noexcept{return FPS(a)>>=i;}
    //前N項を抜き出す
    FPS&shrink(int n){
        p.resize(n);
        return *this;
    }
    FPS shrinked(const FPS&a,int n) const {
        return FPS(a).shrink(n);
    }
    void push_back(const mint&a){
        p.emplace_back(a);
    }
    void push_back(const FPS&a){
        for(const auto&x:a.p)p.emplace_back(x);
    }
    void emplace_back(const mint&a){
        p.emplace_back(a);
    }
    void emplace_back(const FPS&a){
        for(const auto&x:a.p)p.emplace_back(x);
    }
    FPS inv(long long a=-1) const {
        if(a==-1)a=p.size();
        assert(p[0]!=0);
        FPS res(1/p[0]);
        for(int i=1;;i++){
            if((1<<(i-1))>a)break;
            auto f=shrinked(*this,1<<i);
            auto h=f*res;
            h>>=(1<<(i-1));
            h=-h*res;
            for(int j=0;j<(1<<(i-1));j++)res.p.emplace_back(h[j]);
        }
        res.shrink(a);
        return FPS(res);
    }
    FPS diff() const {
        auto res=*this;
        for(int i=0;i<size();i++){
            res[i]*=i;
        }
        res>>=1;
        return res;
    }
    FPS integral() const {
        int n=size();
        FPS ret(n+1,0);
        if(n>0)ret[1]=1;
        for(int i=2;i<=n;i++)ret[i]=-ret[mod%i]*(mod/i);
        for(int i=0;i<n;i++)ret[i+1]*=p[i];
        return ret;
    }
    FPS log(int n=-1) const {
        if(n==-1)n=size();
        auto res=shrinked(diff()/(*this),n-1).integral();
        return res;
    }
    //i*2+1をi*2にするとだめらしい
    //todo なんで？
    FPS exp(int a=-1) const {
        if(a==-1)a=size();
        assert(p.empty()||p[0]==0);
        FPS ret(mint{1});
        for(int i=1;i<a;i*=2){
            ret=ret*(shrinked(*this,i*2+1)+mint(1)-ret.log(i<<1));
        }
        return shrinked(ret,a);
    }
};
void solve(){
    INT(n,m);
    FPS ft(1);
    rep(i,n){
        ft=((ft*ft)<<=1)+ft;
        ft.shrink(m+1);
    }
    PRT(ft[m]);
}
signed main(){
    cin.tie(0)->sync_with_stdio(0);
    pass_time=clock();
    int t=1;
    //cin>>t;
    while(t--)solve();
    pass_time=clock()-pass_time;
    dbg(pass_time/CLOCKS_PER_SEC);
}