#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
constexpr i64 mod = 998244353;
i64 power(i64 a, i64 r) {
    i64 res = 1;
    for (; r; r >>= 1, a = a * a % mod) {
        if (r & 1) {
            res = res * a % mod;
        }
    }
    return res;
}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    i64 n, k;
    cin >> n >> k;
    if (n == 1) {
        array<int, 7> ans = {1, 1, 3, 3, 3, 1, 1};
        cout << ans[k];
        return 0;
    }
    int m = 2 * n + 4;
    vector<i64> f(m + 1, 1), g(m + 1, 1);
    for (i64 i = 1; i <= m; i += 1) {
        g[i] = power(f[i] = f[i - 1] * i % mod, mod - 2);
    }
    auto c = [&](int n, int m) {
        if (n < m or m < 0) {
            return i64(0);
        }
        return f[n] * g[m] % mod * g[n - m] % mod;
    };
    i64 ans = c(m, k);
    if (k % 2 == 0) {
        ans += c(m / 2, k / 2);
    }
    if (n % 2 == 0) {
        if (k % 2 == 0) {
            ans += c(m / 2, k / 2);
        }
    } else {
        for (int i = 0; i <= 2 and i <= k; i += 1) {
            if ((k - i) % 2 == 0) {
                ans += c(2, i) * c(m / 2 - 1, (k - i) / 2) % mod;
            }
        }
    }
    if (k % 2 == 0) {
        ans += c(m / 2, k / 2);
    }
    // cerr << ans << "\n";
    cout << ans % mod * power(4, mod - 2) % mod;
}