#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } ll next(ll x, ll t, ll K) { ll ret; ll ho = x / (K * K); ll mu = (x - ho * K * K) / K; ll ra = x % K; if (t == 0) { ho++; ho %= K; } else if (t == 1) { mu += ho; mu %= K; } else if (t == 2) { ra += mu; ra %= K; } return ho * K * K + mu * K + ra; } // 行列累乗ライブラリ // m_mul と p_mul を同時にインポートする vector> m_mul(vector> &a, vector> &b, ll mod) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { for (ll j = 0; j < n; j++) { for (ll k = 0; k < n; k++) { ret[i][j] = (ret[i][j] + a[i][k] * b[k][j]) % mod; } } } return ret; } vector> p_mul(vector> a, ll k, ll mod) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { ret[i][i] = 1; } while (k > 0) { if (k % 2 == 1) { ret = m_mul(a, ret, mod); } a = m_mul(a, a, mod); k /= 2; } return ret; } int main() { ll N, K; cin >> N >> K; vector> M(K * K * K, vector(K * K * K, 0)); for (ll i = 0; i < K * K * K; i++) { for (ll j = 0; j < 3; j++) { M[i][next(i, j, K)]++; } } vector> M_mul = p_mul(M, N, mod2); ll ans = 0; for (ll i = 0; i < K * K * K; i++) { if (i % K == 0) { ans += M_mul[i][0]; ans %= mod2; } } cout << ans << endl; }