#include #include #include #define REP(i,n) for (int i=0;i<(n);++i) template class modulo { public: T data; modulo(T data) : data(data % M) { } modulo operator+(const modulo &x) const { return modulo(data + x.data); } modulo operator*(const modulo &x) const { return modulo(data * x.data); } modulo operator+=(const modulo &x) { return data = (data + x.data) % M; } modulo operator*=(const modulo &x) { return data = (data * x.data) % M; } }; template class matrix { public: size_t M; size_t N; std::vector> data; matrix(size_t M, size_t N) : M(M), N(N) { data.resize(M); for (int i = 0; i < M; ++i) { data[i].assign(N, 0); } } matrix operator*(const matrix &x) const { matrix result(M, x.N); for (int i = 0; i < M; ++i) { for (int j = 0; j < x.N; ++j) { T temp = 0; for (int k = 0; k < N; ++k) { temp += data[i][k] * x.data[k][j]; } result.data[i][j] = temp; } } return result; } template matrix pow(NonNegativeInteger n); }; template matrix unit_matrix(size_t n) { matrix result(n, n); for (int i = 0; i < n; ++i) { result.data[i][i] = 1; } return result; } template template matrix matrix::pow(NonNegativeInteger n) { matrix result = unit_matrix(N); matrix x(*this); while (n) { if (n & 1) { result = result * x; } x = x * x; n >>= 1; } return result; } using namespace std; using ull = unsigned long long; constexpr ull MOD = 998244353; int N; int K; int encode(int x, int y, int z) { return z * K*K + y * K + x; } tuple decode(int b) { int x = b % K; int y = (b / K) % K; int z = b / (K*K); return make_tuple(x, y, z); } int main() { cin >> N >> K; int K3 = K * K * K; using M = modulo; matrix A(K3, K3); REP(b, K3) { int x, y, z; tie(x, y, z) = decode(b); A.data[encode((x + 1) % K, y, z)][b] += 1; A.data[encode(x, (y + x) % K, z)][b] += 1; A.data[encode(x, y, (z + y) % K)][b] += 1; } matrix u(K3, 1); u.data[0][0] = 1; matrix B = A.pow(N); matrix v = B * u; M result(0); REP(b, K * K) { result += v.data[b][0]; } cout << result.data << endl; return 0; }