//08:36~
#include <bits/stdc++.h>
using namespace std;

template <uint32_t mod>
class modint{
    uint64_t value;
public:
    constexpr modint(const int64_t x=0) noexcept: value(x % mod + (x < 0 ? mod : 0)){ }
    constexpr explicit operator uint64_t() const noexcept{ return value; }
    constexpr modint inverse() const noexcept{ return pow(*this, mod-2); }
    constexpr bool operator==(const modint &rhs) const noexcept{ return value == rhs.value; }
    constexpr bool operator!=(const modint &rhs) const noexcept{ return value != rhs.value; }
    constexpr modint operator+() const noexcept{ return modint(*this); }
    constexpr modint operator-() const noexcept{ return modint(mod - value); }
    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{
        if((value += rhs.value) >= mod) value -= mod;
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept{ return *this += mod - rhs.value; }
    constexpr modint &operator*=(const modint &rhs) noexcept{
        if((value *= rhs.value) >= mod) value %= mod;
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) noexcept{ return *this *= rhs.inverse(); }
    constexpr modint operator++(int) noexcept{
        modint ret(*this);
        if((++value) >= mod) value -= mod;
        return ret;
    }
    constexpr modint operator--(int) noexcept{
        modint ret(*this);
        if((value += mod - 1) >= mod) value -= mod;
        return ret;
    }
    constexpr modint &operator++() noexcept{ return *this += 1; }
    constexpr modint &operator--() noexcept{ return *this -= 1; }
    friend std::ostream &operator<<(std::ostream &os, const modint<mod> &x){ return os << x.value; }
    friend std::istream &operator>>(std::istream &is, modint<mod> &x){
        int64_t i;
        is >> i;
        x = modint<mod>(i);
        return is;
    }
    friend constexpr modint<mod> pow(const modint<mod> &x, uint64_t y){
        modint<mod> ret{1}, m{x};
        while(y > 0){
            if(y & 1) ret *= m;
            m *= m;
            y >>= 1;
        }
        return ret;
    }
};
constexpr int64_t mod = 998244353;

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    constexpr int fmax = 3000000;
    static modint<mod> fact[fmax+1], finv[fmax+1];
    fact[0] = 1;
    for(int i=0;i<fmax;++i) fact[i+1] = fact[i] * (i+1);
    finv[fmax] = fact[fmax].inverse();
    for(int i=fmax;i>0;--i) finv[i-1] = finv[i] * i;
    auto comb = [&](int n, int r){ return fact[n] * finv[r] * finv[n-r]; };

    int n, m;
    cin >> n >> m;
    modint<mod> ans = comb(3*m + n-1, n-1);
    for(int o=m+1;o<=n;++o){
        if(3*m < o) break;
        if((3*m-o) % 2 != 0) continue;
        ans -= comb(n, o) * comb((3*m-o)/2 + n-1, n-1);
    }
    for(int x=2*m+1;x<=3*m;++x){
        ans -= modint<mod>{n} * comb(3*m-x + n-2, n-2);
    }
    cout << ans << endl;
    return 0;
}

Measured memory_bytes: 47104