#include using namespace std; using lint = long long int; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template istream &operator>>(istream &is, vector &vec){ for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; #define FI first #define SE second #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((lint)(x).size()) #define POW2(n) (1LL << (n)) constexpr lint MOD = 998244353; template struct ModInt { using lint = long long; int val; ModInt() : val(0) {} void _setval(lint v) { v = (v % mod) + mod; val = v >= mod ? v - mod : v; } ModInt(lint v) { _setval(v); } operator int() const { return val; } ModInt operator+(const ModInt &x) const { return ModInt((lint)val + x.val); } ModInt operator-(const ModInt &x) const { return ModInt((lint)val - x.val); } ModInt operator*(const ModInt &x) const { return ModInt((lint)val * x.val); } ModInt operator/(const ModInt &x) const { return ModInt((lint)val * x.inv()); } ModInt operator-() const { return ModInt(-val); } ModInt &operator+=(const ModInt &x) { return *this = *this + x; } ModInt &operator-=(const ModInt &x) { return *this = *this - x; } ModInt &operator*=(const ModInt &x) { return *this = *this * x; } ModInt &operator/=(const ModInt &x) { return *this = *this / x; } bool operator==(const ModInt &x) { return val == x.val; } bool operator!=(const ModInt &x) { return val != x.val; } friend ostream &operator<<(ostream &os, const ModInt &x) { os << x.val; return os; } inline lint power(lint n) const { lint ans = 1, tmp = this->val; while (n) { if (n & 1) ans = ans * tmp % mod; tmp = tmp * tmp % mod; n /= 2; } return ans; } inline lint inv() const { return this->power(mod - 2); } inline ModInt fac() const { static vector facs; int l0 = facs.size(); if (l0 > this->val) return facs[this->val]; facs.resize(this->val + 1); for (int i = l0; i <= this->val; i++) facs[i] = (i == 0 ? 1 : facs[i - 1] * i); return facs[this->val]; } ModInt doublefac() const { lint k = (this->val + 1) / 2; if (this->val & 1) return ModInt(k * 2).fac() / ModInt(2).power(k) / ModInt(k).fac(); else return ModInt(k).fac() * ModInt(2).power(k); } ModInt nCr(const ModInt &r) const { if (this->val < r.val) return ModInt(0); return this->fac() / ((*this - r).fac() * r.fac()); } }; using mint = ModInt; template struct Matrix { int H, W; vector elem; typename vector::iterator operator[](int i) { return elem.begin() + i * W; } inline T &at(int i, int j) { return elem[i * W + j]; } inline T get(int i, int j) const { return elem[i * W + j]; } operator vector>() const { vector> ret(H, vector(W)); REP(i, H) REP(j, W) ret[i][j] = at(i, j); return ret; } Matrix(int H, int W) : H(H), W(W), elem(H * W) {} Matrix(const vector> &d) { H = d.size(), W = d[0].size(); elem.resize(H * W); REP(i, H) REP(j, W) elem.at(i, j) = d[i][j]; } static Matrix Identity(int N) { Matrix ret(N, N); REP(i, N) ret.at(i, i) = (T)1; return ret; } Matrix operator-() const { Matrix ret(H, W); REP(i, H * W) ret.elem[i] = -elem[i]; return ret; } Matrix operator+(const Matrix &r) const { Matrix ret(H, W); REP(i, H * W) ret.elem[i] = elem[i] + r.elem[i]; return ret; } Matrix operator-(const Matrix &r) const { Matrix ret(H, W); REP(i, H * W) ret.elem[i] = elem[i] - r.elem[i]; return ret; } Matrix operator*(const Matrix &r) const { Matrix ret(H, r.W); REP(i, H) REP(k, W) REP(j, r.W) ret.at(i, j) += this->get(i, k) * r.get(k, j); return ret; } Matrix &operator+=(const Matrix &r) { return *this = *this + r; } Matrix &operator-=(const Matrix &r) { return *this = *this - r; } Matrix &operator*=(const Matrix &r) { return *this = *this * r; } Matrix pow(int64_t n) const { Matrix ret = Identity(H); if (n == 0) return ret; IREP(i, 64 - __builtin_clzll(n)) { ret *= ret; if ((n >> i) & 1) ret *= (*this); } return ret; } friend ostream &operator<<(ostream &os, const Matrix &x) { os << x.elem; return os; } friend istream &operator>>(istream &is, Matrix &x) { for (auto &v : x.elem) is >> v; return is; } }; using mat = Matrix; int K; int tod(int i, int j, int k) { i %= K; j %= K; k %= K; return (i * K + j) * K + k; } int main() { lint N; cin >> N >> K; lint D = K * K * K; mat m(D, D); REP(i, K) REP(j, K) REP(k, K) { m[tod(i + 1, j, k)][tod(i, j, k)] += 1; m[tod(i, j + i, k)][tod(i, j, k)] += 1; m[tod(i, j, k + j)][tod(i, j, k)] += 1; } mat mm = m.pow(N); mint ret = 0; REP(i, K) REP(j, K) ret += mm[tod(i, j, 0)][0]; cout << ret.val << endl; }