#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <vector>
using namespace std;
using ll = long long;
#define fst first
#define snd second

/* clang-format off */
template <class T, size_t D> struct _vec { using type = vector<typename _vec<T, D - 1>::type>; };
template <class T> struct _vec<T, 0> { using type = T; };
template <class T, size_t D> using vec = typename _vec<T, D>::type;
template <class T> vector<T> make_v(size_t size, const T& init) { return vector<T>(size, init); }
template <class... Ts> auto make_v(size_t size, Ts... rest) { return vector<decltype(make_v(rest...))>(size, make_v(rest...)); }
template <class T> inline void chmin(T &a, const T& b) { if (b < a) a = b; }
template <class T> inline void chmax(T &a, const T& b) { if (b > a) a = b; }
/* clang-format on */

template <std::uint_fast64_t Modulus>
class modint {
  using u64 = std::uint_fast64_t;

 public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept
      : a(x % Modulus) {
  }
  constexpr u64 &value() noexcept {
    return a;
  }
  constexpr const u64 &value() const noexcept {
    return a;
  }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(const modint rhs) noexcept {
    return *this *= ~rhs;
  }
  constexpr modint power(u64 exp) const noexcept {
    modint v = 1, x = *this;
    while (exp) {
      if (exp & 1) {
        v *= x;
      }
      x *= x;
      exp >>= 1;
    }
    return v;
  }
  constexpr modint operator~() const noexcept {
    return power(Modulus - 2);
  }
};

using mint = modint<998244353>;

vector<mint> fact, factInv;
void initFact(int N) {
  fact.resize(N + 1);
  factInv.resize(N + 1);
  fact[0] = 1;
  for (int i = 1; i <= N; i++) fact[i] = fact[i - 1] * i;
  factInv[N] = ~fact[N];
  for (int i = N - 1; i >= 0; i--) factInv[i] = factInv[i + 1] * (i + 1);
}

mint choose(int n, int k) {
  if (n < 0 || k < 0 || k > n) {
    return 0;
  } else {
    return fact[n] * factInv[k] * factInv[n - k];
  }
}

mint multiChoose(int n, int k) {
  if (n == 0 && k == 0) {
    return 1;
  } else {
    return choose(n + k - 1, k);
  }
}

mint f(int M, int N, int L) {
  if (L == 0) return 1;
  if (M == 0 || N == 0) return 0;
  mint res = 0;
  for (int k = 0; k <= N; k++) {
    int rem = L - (M + 1) * k;
    if (rem < 0) break;
    mint ways = choose(N, k) * choose(rem + N - 1, N - 1);
    if (k % 2 == 0) {
      res += ways;
    } else {
      res -= ways;
    }
  }
  return res;
}

int main() {
#ifdef DEBUG
  ifstream ifs("in.txt");
  cin.rdbuf(ifs.rdbuf());
#endif
  int N, M;
  while (cin >> N >> M) {
    initFact(4 * 1e6);
    mint res = 0;
    for (int k = 0; k <= N; k++) {
      int L = 3 * M - k;
      if (L < 0 || L & 1 || (L / 2 + k) > 2 * M) continue;
      L /= 2;
      mint ways = f(M - 1, N, L);
      if (k < N && L >= M) {
        ways += f(M - 1, N - 1, L - M) * (N - k);
      }
      res += ways * choose(N, k);
    }
    cout << res.value() << endl;
  }
  return 0;
}


Measured memory_bytes: 62720