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

template<int m> struct StaticModint {
    using mint = StaticModint;
    int _v;

    constexpr StaticModint() : _v(0) {}
    template<class T>
    constexpr StaticModint(T v) : _v((v % m + m) % m) {}

    constexpr int val() const { return _v; }

    constexpr mint& operator ++ () { return *this += 1; }
    constexpr mint& operator -- () { return *this -= 1; }
    constexpr mint operator ++ (int) { mint res = *this; ++*this; return res; }
    constexpr mint operator -- (int) { mint res = *this; --*this; return res; }

    constexpr mint& operator += (const mint& r) {
        if(_v >= m - r._v) _v -= m;
        _v += r._v; return *this;
    }
    constexpr mint& operator -= (const mint& r) {
        if(_v < r._v) _v += m;
        _v -= r._v; return *this;
    }
    constexpr mint& operator *= (const mint& r) {
        unsigned long long z = _v;
        z *= r._v;
        _v = (unsigned int)(z % m); return *this;
    }
    constexpr mint& operator /= (const mint& r) {
        return *this *= r.inv(); 
    }

    constexpr mint pow(long long n) const {
        mint x = *this, r = 1; 
        while(n) {
            if(n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    constexpr mint inv() const {
        return pow(m - 2);
    }

    constexpr mint operator + () const { return *this; }
    constexpr mint operator - () const { return mint() - *this; }

    constexpr mint operator + (const mint& r) const { return mint(*this) += r; }
    constexpr mint operator - (const mint& r) const { return mint(*this) -= r; }
    constexpr mint operator * (const mint& r) const { return mint(*this) *= r; }
    constexpr mint operator / (const mint& r) const { return mint(*this) /= r; }
    
    constexpr bool operator == (const mint& r) const { return _v == r._v; }
    constexpr bool operator != (const mint& r) const { return _v != r._v; }

    friend istream& operator >> (istream& is, mint& x) {
        long long t;
        is >> t;
        x = mint(t);
        return is;
    }
    friend ostream& operator << (ostream& os, const mint& x) {
        return os << x._v;
    }
};

using mint = StaticModint<998244353>;
// using mint = StaticModint<1000000007>;

// 0 1 2 3 4
// →     → -
//   →   - -
//     → - →

string c[5] = {
    "z1o-2",
    "z1o--",
    "z1o2-",
    "z--2-",
    "--o-2"
};

int cost(int f, int t, bool b) {
    if(c[f][t] == '-') return 1e9;
    if(c[f][t] == 'z') return b;
    if(c[f][t] == 'o') return !b;
    return c[f][t] - '0'; 
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int N, K;
    cin >> N >> K;

    vector<vector<vector<mint>>> dp(N, vector<vector<mint>> (K + 1, vector<mint>(5, 0)));
    dp[0][0][0] = 1;

    for(int i = 1; i < N; i++) {
        for(int j = 0; j <= K; j++) {
            for(int f = 0; f < 5; f++) {
                for(int t = 0; t < 5; t++) {
                    int nj = j + cost(f, t, i & 1);
                    if(nj > K) continue;
                    dp[i][nj][t] += dp[i - 1][j][f];
                }
            }
        }
    }
    
    if(N & 1) {
        mint ans = 0;
        for(int k = 0; k <= K; k++) {
            for(int i : {0, 1, 2, 4}) {
                ans += dp[N - 1][k][i];
            }
        }
        cout << ans << "\n";
    }
    else {
        mint ans = 0;
        for(int k = 0; k <= K; k++) {
            for(int i : {0, 1, 2, 3}) {
                ans += dp[N - 1][k][i];
            }
        }
        cout << ans << "\n";
    }

    return 0;
}