#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef pair<LL, LL> PII;

// chmax, chmin
template <class T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}

template <typename T>
function<T(T, T)> op_max = [](T a, T b) -> T { return max(a, b); };
template <typename T>
function<T(T, T)> op_min = [](T a, T b) -> T { return min(a, b); };

template <typename T>
function<T(T, T)> op_sum = [](T a, T b) -> T { return a + b; };

namespace detail {
template <typename T, std::size_t NDIMS>
struct vector_builder {
  using type = std::vector<typename vector_builder<T, NDIMS - 1>::type>;

  static type make(std::vector<std::size_t> dims, const T& v = {}) {
    const auto vec = std::vector<T>(dims.empty() ? 0 : dims.back(), v);
    if (!dims.empty()) dims.pop_back();
    return vector_builder<std::vector<T>, NDIMS - 1>::make(dims, vec);
  }
};

template <typename T>
struct vector_builder<T, 1> {
  using type = std::vector<T>;

  static type make(std::vector<std::size_t> dims, const T& v = {}) {
    return type(dims.empty() ? 0 : dims.back(), v);
  }
};
}  // namespace detail

template <typename T, typename... SIZE_T>
auto exvector(const T& v, SIZE_T... dims) {
  static_assert(sizeof...(dims) != 0, "invalid dimension");
  std::vector<std::size_t> vec_dims{dims...};
  return detail::vector_builder<T, sizeof...(dims)>::make(vec_dims, v);
}

using namespace std;
//********************  dumps ************************//

template <typename T>
void dump(const T& data, vector<int>& iter) {
  cout << data << " ";
}
template <typename T>
void dump(const vector<T>& data, vector<int>& iter) {
  for (auto elem : data) dump(elem, iter);
  cout << endl;
}

template <typename T>
void dump(const vector<vector<T>>& data, vector<int>& iter) {
  for (auto elem : iter) {
    cout << "[" << elem << "]";
  }
  cout << endl;
  for (int i = 0; i < data.size(); i++) {
    iter.push_back(i);
    dump(data[i], iter);
    iter.pop_back();
  }
  cout << endl;
}

template <typename T>
void dump(const vector<T>& data, int dummy) {
  for (int i = 0; i < data.size(); i++) {
    cout << "[" << i << "] " << data[i] << endl;
  }
}
template <typename T>
void dump(const T& data) {  // T : data, U = base type val.
  vector<int> iter;
  dump(data, iter);
}
///////////////////////////////////////////////

const long long MOD = 998244353;
long long mul(long long a, long long b, const long long MOD) {
  return b ? (mul(a * 2, b / 2, MOD) + (b & 1 ? a : 0)) % MOD : 0;
}

long long bpow(long long a, long long b, const long long MOD) {
  return (b ? bpow(a * a % MOD, b / 2, MOD) * (b & 1 ? a : 1) : 1) % MOD;
}

long long inv(long long a, const long long MOD) {
  return bpow(a, MOD - 2, MOD);
}
vector<long long> MODS = {998244353};
template <int kind = 0, int fast = 0>
class mint {
 public:
  long long v;

  mint() : v(0) {}
  // mint(long long);
  inline mint(long long v)
      : v(fast == 0 ? (v < 0 ? (v % MODS[kind] + MODS[kind]) % MODS[kind]
                             : (v >= MODS[kind] ? v % MODS[kind] : v))
                    : (v)) {}
  long long get_mod() { return MODS[kind]; }
  long long get_val() { return v; }
  void take_mod() { v %= MODS[kind]; }
};

template <int kind, int fast>
ostream& operator<<(ostream& os, const mint<kind, fast>& x) {
  return os << (x.v % MODS[kind] + MODS[kind]) % MODS[kind];
}

template <int kind, int fast, int fast2>
bool operator==(mint<kind, fast>& a, mint<kind, fast2> b) {
  return a.v == b.v;
}
template <int kind, int fast, int fast2>
mint<kind, fast>& operator+=(mint<kind, fast>& a, mint<kind, fast2> b) {
  return a = a.v + b.v;
}
template <int kind>
mint<kind>& operator-=(mint<kind>& a, mint<kind> b) {
  return a = a.v - b.v;
}
template <int kind>
mint<kind>& operator*=(mint<kind>& a, mint<kind> b) {
  return a = a.v * b.v;
}
template <int kind>
mint<kind>& operator/=(mint<kind>& a, mint<kind> b) {
  return a = a.v * inv(b.v, a.get_mod());
}
template <int kind, int fast, int fast2>
mint<kind, fast> operator+(mint<kind, fast> a, mint<kind, fast2> b) {
  return a += b;
}
template <int kind>
mint<kind> operator-(mint<kind> a, mint<kind> b) {
  return a -= b;
}
template <int kind>
mint<kind> operator*(mint<kind> a, mint<kind> b) {
  return a *= b;
}
template <int kind>
mint<kind> operator/(mint<kind> a, mint<kind> b) {
  return a /= b;
}
template <int kind, int fast>
mint<kind, fast>& operator+=(mint<kind, fast>& a, long long b) {
  return a = a.v + b;
}
template <int kind>
mint<kind>& operator-=(mint<kind>& a, long long b) {
  return a = a.v - b;
}
template <int kind>
mint<kind>& operator*=(mint<kind>& a, long long b) {
  return a = a.v * b;
}
template <int kind>
mint<kind>& operator/=(mint<kind>& a, long long b) {
  return a = a.v * inv(b, a.get_mod());
}
template <int kind, int fast>
mint<kind, fast> operator+(mint<kind> a, long long b) {
  return a += b;
}
template <int kind>
mint<kind> operator-(mint<kind> a, long long b) {
  return a -= b;
}
template <int kind>
mint<kind> operator*(mint<kind> a, long long b) {
  return a *= b;
}
template <int kind>
mint<kind> operator/(mint<kind> a, long long b) {
  return a /= b;
};

vector<vector<mint<>>> comb_table;

mint<> comb(LL N, LL K) {
  if (N < K) return 0;
  if (K < 0) return 0;
  return comb_table[N][K];
}

void init(int N) {
  comb_table.resize(N + 6);
  for (int i = 0; i <= N; i++) {
    comb_table[i].resize(i + 1);
    comb_table[i][0] = 1;
    comb_table[i][i] = 1;

    for (int j = 1; j < i; j++) {
      comb_table[i][j] = comb_table[i - 1][j - 1] + comb_table[i - 1][j];
    }
  }
}

void solve(long long N, long long X) {
  init(N);
  mint<> zero = 0;
  // auto dp = exvector(zero, 2 * N + 5, N + 5);
  mint<> dp[6005][3005];
  dp[0][1] = 1;

  for (int i = 1; i <= 2 * N; i++) {
    for (int j = 0; j <= N + 1; j++) {
      dp[i][j] = 0;
      if (j > 0) dp[i][j] += dp[i - 1][j - 1];
      if (i > 1 && j > 0) dp[i][j] += dp[i - 2][j - 1];
      // dp[i][j] %= MOD;
    }
  }
  // in_1.txt

  mint<0, 1> ans = 0;
  for (int i = 0; i < X - 1; i++) {
    for (int k = 0; k <= N + 1; k++)
      ans += dp[i][k] * comb(N, k - 1);  // % MOD ;
  }
  for (int i = 0; i <= N; i++) {
    for (int k = 0; k <= N + 1; k++) {
      if (X - 1 - i * 2 >= 0)
        ans += dp[X - 1 - i * 2][k] * comb(N, k - 1 + i * 2);  // % MOD;
    }
  }
  if (X % 2 == 1) {
    for (int i = X; i <= N; i++) {
      int hako = i + 1;
      int nokori = N - i;
      ans += comb(N, nokori);
    }
  }
  // ans %= MOD;

  cout << ans << endl;
}

int main() {
  cout << setprecision(10);
  long long N;
  scanf("%lld", &N);
  long long X;
  scanf("%lld", &X);
  solve(N, X);
  return 0;
}


Measured memory_bytes: 176512