#include <bits/stdc++.h>
using namespace std;

//入力が必ず-mod<=a<modの時.
template<const int mod> //mod<2^30.
struct modint{ //mod変更が不可能.
    public:
    long long v;
    static void setmod(int m){} //飾り.
    static constexpr long long getmod(){return mod;}
    modint():v(0){}
    template<typename T>
    modint(T a):v(a){if(v < 0) v += mod;}
    long long val()const{return v;}
 
    modint &operator=(const modint &b) = default;
    modint &operator+()const{return (*this);}
    modint operator-()const{return modint(0)-(*this);}
    modint operator+(const modint b)const{return modint(v)+=b;}
    modint operator-(const modint b)const{return modint(v)-=b;}
    modint operator*(const modint b)const{return modint(v)*=b;}
    modint operator/(const modint b)const{return modint(v)/=b;}
    modint &operator+=(const modint b){
        v += b.v; if(v >= mod) v -= mod;
        return *this;
    }
    modint &operator-=(const modint b){
        v -= b.v; if(v < 0) v += mod; 
        return *this;
    }   
    modint &operator*=(const modint b){v = v*b.v%mod; return *this;}
    modint &operator/=(modint b){ //b!=0 mod素数が必須.
        assert(b.v != 0);
        (*this) *= b.pow(mod-2);
        return *this;
    }
    modint pow(long long n)const{
        modint ret = 1,p = v;
        if(n < 0) p = p.inv(),n = -n;
        while(n){
            if(n&1) ret *= p;
            p *= p; n >>= 1;
        }
        return ret;
    }
    modint inv()const{return pow(mod-2);} //素数mod必須.
 
    modint &operator++(){*this += 1; return *this;}
    modint &operator--(){*this -= 1; return *this;}
    modint operator++(int){modint ret = *this; *this += 1; return ret;}
    modint operator--(int){modint ret = *this; *this -= 1; return ret;}
    friend bool operator==(const modint a,const modint b){return a.v==b.v;}
    friend bool operator!=(const modint a,const modint b){return a.v!=b.v;}
    friend bool operator<(const modint a,const modint b){return a.v<b.v;}
    friend bool operator<=(const modint a,const modint b){return a.v<=b.v;}
    friend bool operator>=(const modint a,const modint b){return a.v>=b.v;}
    friend bool operator>(const modint a,const modint b){return a.v>b.v;}
    friend ostream &operator<<(ostream &os,const modint a){return os<<a.v;}
    friend istream &operator>>(istream &is,modint &a){ //入力はmodをとってくれる.
        long long x; is >> x; x %= mod;
        a = modint(x); return is;
    }
};
using mint = modint<998244353>; const long long mod = 998244353;

namespace to_fold{
__int128_t safemod(__int128_t a,long long m){a %= m; if(a < 0) a += m; return a;}
pair<long long,long long> invgcd(long long a,long long b){
    //return {gcd(a,b),x} (xa≡g(mod b))
    a = safemod(a,b);
    if(a == 0) return {b,0};
    long long x = 0,y = 1,memob = b;
    while(a){
        long long q = b/a;
        b -= a*q;
        swap(x,y); y -= q*x;
        swap(a,b);
    }
    if(x < 0) x += memob/b;
    return {b,x};
}
template<long long mod>
long long Garner(const vector<long long> &A,const vector<long long> &M){
    __int128_t mulM = 1,x = A.at(0)%M.at(0); //Mの要素のペア互いに素必須.
    for(int i=1; i<A.size(); i++){
        //assert(gcd(mulM,M.at(i-1)) == 1);
        mulM *= M.at(i-1); //2乗がオーバーフローする時__int128_t
        long long t = safemod((A.at(i)-x)*invgcd(mulM,M.at(i)).second,M.at(i));
        x += t*mulM;
    }
    return x%mod;
}
int countzero(unsigned long long x){
    if(x == 0) return 64;
    else return __popcount((x&-x)-1);
}
template<typename mint>
struct fftinfo{
    static bool First;
    static mint g,sum_e[30],sum_ie[30]; //sum_e[i]=Π[j=0~i-1]ies[j] * es[i],sum_ie[i]=Π[i=0~j-1]es[j] * ies[i].
    static mint divpow2[30]; //div[i] = 1/(2^i).
    static mint Zeta[30];
    fftinfo(){
        if(!First) return;
        First = false;
        const long long mod = mint::getmod();
        if(mod == 998244353) g = 3;
        else if(mod == 754974721) g = 11;
        else if(mod == 167772161) g = 3;
        else if(mod == 469762049) g = 3;
        else assert(false); //現状RE.
        mint es[30],ies[30]; //es[i]^(2^(2+i))=1.
        int cnt2 = countzero(mod-1);
        mint e = g.pow((mod-1)>>cnt2),ie = e.inv();
        for(int i=cnt2; i>=2; i--){ //e^(2^i)=1;
            es[i-2] = e,e *= e;
            ies[i-2] = ie,ie *= ie;
        }
        mint rot = 1;
        for(int i=0; i<=cnt2-2; i++) sum_e[i] = es[i]*rot,rot *= ies[i];
        rot = 1;
        for(int i=0; i<=cnt2-2; i++) sum_ie[i] = ies[i]*rot,rot *= es[i];
        mint div2n = 1,div2 = mint(1)/2;
        for(int i=0; i<30; i++) divpow2[i] = div2n,div2n *= div2;
        for(int i=0; i<=cnt2; i++) Zeta[i] = g.pow((mod-1)/(2<<i));
    }
};
template<typename mint> bool fftinfo<mint>::First=true;
template<typename mint> mint fftinfo<mint>::g;
template<typename mint> mint fftinfo<mint>::sum_e[30];
template<typename mint> mint fftinfo<mint>::sum_ie[30];
template<typename mint> mint fftinfo<mint>::divpow2[30];
template<typename mint> mint fftinfo<mint>::Zeta[30];
template<typename mint>
void NTT(vector<mint> &A){ //ACLを超参考にしてる.
    int n = A.size();
    assert((n&-n) == n);
    fftinfo<mint> info;
    int h = countzero(n);
    for(int ph=1; ph<=h; ph++){
        int w = 1<<(ph-1),p = 1<<(h-ph);
        mint rot = 1;
        for(int s=0; s<w; s++){
            int offset = s<<(h-ph+1);
            for(int i=0; i<p; i++){
                mint l = A.at(i+offset),r = A.at(i+offset+p)*rot;
                A.at(i+offset) = l+r;
                A.at(i+offset+p) = l-r;
            }
            rot *= info.sum_e[countzero(~(unsigned int)(s))];
        }
    }
}
template<typename mint>
void INTT(vector<mint> &A){
    int n = A.size();
    assert((n&-n) == n);
    fftinfo<mint> info;
    const unsigned int mod = mint::getmod();
    int h = countzero(n);
    for(int ph=h; ph>0; ph--){
        int w = 1<<(ph-1),p = 1<<(h-ph);
        mint irot = 1;
        for(int s=0; s<w; s++){
            int offset = s<<(h-ph+1);
            for(int i=0; i<p; i++){
                mint l = A.at(i+offset),r = A.at(i+offset+p);
                A.at(i+offset) = l+r;
                A.at(i+offset+p) = ((unsigned long long)(mod+(unsigned int)l.v-(unsigned int)r.v)*irot.v)%mod;
            }
            irot *= info.sum_ie[countzero(~(unsigned int)(s))];
        }
    }
    mint divn = info.divpow2[h];
    for(auto &a : A) a *= divn;
}
template<typename mint>
vector<mint> convolution(vector<mint> A,vector<mint> B){ //mintじゃないのを突っ込まないように!!!.
    int siza = A.size(),sizb = B.size(),sizc = siza+sizb-1,N = 1;
    if(siza == 0 || sizb == 0) return {};
    if(min(siza,sizb) <= 60){ //naive.
        vector<mint> ret(sizc);
        if(siza >= sizb){for(int i=0; i<siza; i++) for(int k=0; k<sizb; k++) ret.at(i+k) += A.at(i)*B.at(k);}
        else{for(int i=0; i<sizb; i++) for(int k=0; k<siza; k++) ret.at(i+k) += B.at(i)*A.at(k);}
        return ret;
    }
    while(N < sizc) N <<= 1;
    A.resize(N),B.resize(N);
    NTT(A); NTT(B);
    for(int i=0; i<N; i++) A.at(i) *= B.at(i);
    INTT(A); A.resize(sizc);
    return A;
}
template<typename T>
vector<long long> convolution_ll(const vector<T> &A,const vector<T> &B){ //long longに収まる範囲.
    int siza = A.size(),sizb = B.size(),sizc = siza+sizb-1;
    if(siza == 0 || sizb == 0) return {};
    vector<long long> ret(sizc);
    if(min(siza,sizb) <= 200){ //naive 200はやばい?.
        if(siza >= sizb){for(int i=0; i<siza; i++) for(int k=0; k<sizb; k++) ret.at(i+k) += (long long)A.at(i)*B.at(k);}
        else{for(int i=0; i<sizb; i++) for(int k=0; k<siza; k++) ret.at(i+k) += (long long)B.at(i)*A.at(k);}
        return ret;
    }
    const unsigned long long mod1 = 754974721,mod2 = 167772161,mod3 = 469762049;
    //const unsigned long long m1m2 = mod1*mod2,m2m3 = mod2*mod3,m3m1 = mod3*mod1,m1m2m3 = mod1*mod2*mod3;
    const unsigned long long m1m2 = 126663740442542081,m2m3 = 78812994116517889,m3m1 = 354658471880163329,m1m2m3 = 560135205046714369;
    //const unsigned long long i1 = invgcd(m2m3,mod1).second,i2 = invgcd(m3m1,mod2).second,i3 = invgcd(m1m2,mod3).second;
    const unsigned long long i1 = 190329765,i2 = 58587104,i3 = 187290749;
    assert(sizc <= (1<<24));
    using mint1 = modint<mod1>;
    using mint2 = modint<mod2>;
    using mint3 = modint<mod3>;
    vector<mint1> a1(siza),b1(sizb);
    vector<mint2> a2(siza),b2(sizb);
    vector<mint3> a3(siza),b3(sizb);
    for(int i=0; i<siza; i++) a1.at(i) = A.at(i)%mod1;
    for(int i=0; i<sizb; i++) b1.at(i) = B.at(i)%mod1;
    vector<mint1> C1 = convolution(a1,b1);
    for(int i=0; i<siza; i++) a2.at(i) = A.at(i)%mod2;
    for(int i=0; i<sizb; i++) b2.at(i) = B.at(i)%mod2;
    vector<mint2> C2 = convolution(a2,b2);
    for(int i=0; i<siza; i++) a3.at(i) = A.at(i)%mod3;
    for(int i=0; i<sizb; i++) b3.at(i) = B.at(i)%mod3;
    vector<mint3> C3 = convolution(a3,b3);
    vector<unsigned long long> offset = {0,0,m1m2m3,2*m1m2m3,3*m1m2m3};
    for(int i=0; i<sizc; i++){
        unsigned long long x = 0;
        x += (C1.at(i).v*i1)%mod1*m2m3;
        x += (C2.at(i).v*i2)%mod2*m3m1;
        x += (C3.at(i).v*i3)%mod3*m1m2;
        long long diff = C1.at(i).v-((long long)x+(long long)mod1)%mod1;
        if(diff < 0) diff += mod1;
        x -= offset.at(diff%5);
        ret.at(i) = x;
    }
    return ret;
}
template<typename mint>
vector<mint> convolution_llmod(const vector<mint> &A,const vector<mint> &B){
    int siza = A.size(),sizb = B.size(),sizc = siza+sizb-1;
    if(siza == 0 || sizb == 0) return {};
    vector<mint> ret(sizc);
    if(min(siza,sizb) <= 200){
        for(int i=0; i<siza; i++) for(int k=0; k<sizb; k++) ret.at(i+k) += A.at(i)*B.at(k);
        return ret;
    }
    const long long mod1 = 754974721,mod2 = 167772161,mod3 = 469762049;
    assert(sizc <= (1<<24));
    using mint1 = modint<mod1>;
    using mint2 = modint<mod2>;
    using mint3 = modint<mod3>;
    vector<mint1> a1(siza),b1(sizb);
    vector<mint2> a2(siza),b2(sizb);
    vector<mint3> a3(siza),b3(sizb);
    for(int i=0; i<siza; i++) a1.at(i) = A.at(i).v%mod1;
    for(int i=0; i<sizb; i++) b1.at(i) = B.at(i).v%mod1;
    vector<mint1> C1 = convolution(a1,b1);
    for(int i=0; i<siza; i++) a2.at(i) = A.at(i).v%mod2;
    for(int i=0; i<sizb; i++) b2.at(i) = B.at(i).v%mod2;
    vector<mint2> C2 = convolution(a2,b2);
    for(int i=0; i<siza; i++) a3.at(i) = A.at(i).v%mod3;
    for(int i=0; i<sizb; i++) b3.at(i) = B.at(i).v%mod3;
    vector<mint3> C3 = convolution(a3,b3);
    for(int i=0; i<sizc; i++){
        vector<long long> A = {C1.at(i).v,C2.at(i).v,C3.at(i).v};
        vector<long long> M = {mod1,mod2,mod3};
        ret.at(i) = Garner<mint::getmod()>(A,M);
    }
    return ret;
}
template<typename T>
vector<__int128_t> convolution_i128(const vector<T> &A,const vector<T> &B){ //10^25に収まる範囲.
    int siza = A.size(),sizb = B.size(),sizc = siza+sizb-1;
    if(siza == 0 || sizb == 0) return {};
    vector<__int128_t> ret(sizc);
    if(min(siza,sizb) <= 200){ //naive 200はやばい?.
        if(siza >= sizb){for(int i=0; i<siza; i++) for(int k=0; k<sizb; k++) ret.at(i+k) += (long long)A.at(i)*B.at(k);}
        else{for(int i=0; i<sizb; i++) for(int k=0; k<siza; k++) ret.at(i+k) += (long long)B.at(i)*A.at(k);}
        return ret;
    }
    const int mod1 = 167772161,mod2 = 469762049,mod3 = 754974721;
    //const int m12 = invgcd(mod1,mod2).second,m13 = invgcd(mod1,mod3).second,m23 = invgcd(mod2,mod3).second,m13m23 = (long long)m13*m23%mod3;
    const int m12 = 104391568,m13 = 323560596,m23 = 399692502,m13m23 = 190329765;
    //const long long w1 = mod1,w2 = w1*mod2;
    const long long w1 = 167772161,w2 = 78812994116517889;
    assert(sizc <= (1<<24));
 
    using mint1 = modint<mod1>;
    using mint2 = modint<mod2>;
    using mint3 = modint<mod3>;
    vector<mint1> a1(siza),b1(sizb);
    vector<mint2> a2(siza),b2(sizb);
    vector<mint3> a3(siza),b3(sizb);
    for(int i=0; i<siza; i++) a1.at(i) = A.at(i)%mod1;
    for(int i=0; i<sizb; i++) b1.at(i) = B.at(i)%mod1;
    vector<mint1> C1 = convolution(a1,b1);
    for(int i=0; i<siza; i++) a2.at(i) = A.at(i)%mod2;
    for(int i=0; i<sizb; i++) b2.at(i) = B.at(i)%mod2;
    vector<mint2> C2 = convolution(a2,b2);
    for(int i=0; i<siza; i++) a3.at(i) = A.at(i)%mod3;
    for(int i=0; i<sizb; i++) b3.at(i) = B.at(i)%mod3;
    vector<mint3> C3 = convolution(a3,b3);
    for(int i=0; i<sizc; i++){
        long long v2 = C2.at(i).v,v3 = C3.at(i).v;
        long long a = C1.at(i).v;
        long long b = (v2+mod2-a)*m12 %mod2;
        long long c= ((v3+mod3-a)*m13m23+(mod3-b)*m23) %mod3;
        ret.at(i) = a+b*w1+(__int128_t)c*w2;
    }
    return ret;
}
vector<int> convolution_int(const vector<int> &A,const vector<int> &B){ //intに収まる範囲.
    if(A.size() == 0 || B.size() == 0) return {};
    vector<int> ret;
    if(min(A.size(),B.size()) <= 60){
        ret.resize(A.size()+B.size()-1);
        for(int i=0; i<A.size(); i++) for(int k=0; k<B.size(); k++) ret.at(i+k) += A.at(i)*B.at(k);
    }
    else{
        using mint1 = modint<998244353>;
        vector<mint1> X(A.size()),Y(B.size()),Z;
        for(int i=0; i<A.size(); i++) X.at(i) = A.at(i);
        for(int i=0; i<B.size(); i++) Y.at(i) = B.at(i);
        Z = convolution(X,Y);
        ret.resize(Z.size());
        for(int i=0; i<Z.size(); i++) ret.at(i) = Z.at(i).v;
    }
    return ret;
}
template<typename mint> 
void NTTdoubling(vector<mint> &A){ //NTTの原理を忘れているため何やってるのか意味が分からない NTT-friendly専用.
        //INTT->resize(2倍）->NTTの代わりにcopy->INTT->謎の操作->NTT->push sizeが小さい時は効率悪いらしいよ.
        int n = A.size();
        fftinfo<mint> info;
        vector<mint> B = A;
        INTT(B);
        mint rot = 1,zeta = info.Zeta[countzero(n)];
        for(auto &v : B) v *= rot,rot *= zeta;
        NTT(B); A.reserve(n<<1);
        for(auto &v : B) A.push_back(v); 
}
bool isNTTfriendly(long long mod){
    if(mod == 998244353 || mod == 754974721 || mod == 16777216 || mod == 469762049) return true;
    return false; //現状false 原子根求める機能を追加してから.
    int have2 = countzero(mod-1);
    return have2 >= 20;//とりあえず2^20でokとする;
}
}
using namespace to_fold;

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int N,M; cin >> N >> M;
    int n2 = 1<<N;
    int Limit = n2; //Limit->必要なサイズ fac->x! facinv->1/x! inv->1/x.
    vector<mint> fac(Limit+1,1),facinv(Limit+1);
    {
        int mod = mint::getmod(),invstart = min(mod-1,Limit); 
        for(int i=1; i<=Limit; i++) fac.at(i) = fac.at(i-1)*i;
        facinv.at(invstart) = fac.at(invstart).inv();
        for(int i=invstart-1; i>=0; i--) facinv.at(i) = facinv.at(i+1)*(i+1);
    }
    //vector<mint> inv(Limit+1); for(int i=1; i<=Limit; i++) inv.at(i) = fac.at(i-1)*facinv.at(i); //必要なら解放.
    auto nCr = [&](int n,int r) -> mint {
        if(n < r || r < 0 || n < 0) return 0;
        return fac.at(n)*facinv.at(r)*facinv.at(n-r);
    };

    vector<mint> X(2),Y(2);
    X.at(0) = 1,Y.at(1) = 1;
    int len = 1;
    mint div2 = mint(1)/2;
    for(int d=0; d<N; d++){
        vector<mint> nX,nY,nZ;
        nX = convolution(X,X);
        nZ = convolution(X,Y);
        nY = convolution(Y,Y);
        for(int i=0; i<nZ.size(); i++) nX.at(i) += nZ.at(i);

        len *= 2;
        swap(X,nX),swap(Y,nY);
        nX.resize(len+1),nY.resize(len+1);
    }
    if(M == n2) X.at(M) = Y.at(M);
    cout << X.at(M)*fac.at(M)*fac.at(n2-M) << endl;
}