// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define vrep(v, i) for(int i = 0; i < (v).size(); i++) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second #define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n]; #define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m]; #define bit(n) (1LL<<(n)) #define INT(n) int n; cin >> n; #define LL(n) ll n; cin >> n; #define DOUBLE(n) double n; cin >> n; using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; typedef complex cd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 998244353; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template T power(T a, T n, T mod) { T res = 1; T tmp = n; T curr = a; while(tmp){ if(tmp % 2 == 1){ res = (T)((ll)res * curr % mod); } curr = (T)((ll)curr * curr % mod); tmp >>= 1; } return res; } template T extgcd(T a, T b, T &x, T &y){ T d = a; if(b != 0){ d = extgcd(b, a % b, y, x); y -= (a / b) * x; }else{ x = 1, y = 0; } return d; } template T modinv(T a, T m){ long long x = 0, y = 0; extgcd(a, m, x, y); x %= m; if(x < 0)x += m; return x; } template struct LMatrix{ vector> v; int n, m; LMatrix(int n_, int m_ = -1): n(n_), m(m_){ if(m < 0)m = n; v.resize(n); for(int i = 0; i < n; i++)v[i].resize(m); } void identity(){ assert(n == m); for(int i = 0; i < n; i++){ for(int j = 0; j < n; j++){ v[i][j] = (i == j ? 1: 0); } } } vector &operator[](size_t i){ return v[i]; } const vector &operator[](size_t i) const{ return v[i]; } LMatrix operator*(const LMatrix &r) const{ assert(m == r.n); int l = r.m; LMatrix res(n, l); for(int i = 0; i < n; i++){ for(int j = 0; j < l; j++){ res.v[i][j] = 0; for(int k = 0; k < m; k++){ res.v[i][j] = (res.v[i][j] + v[i][k] * r.v[k][j] % MOD) % MOD; } } } return res; } LMatrix operator+(const LMatrix &r) const{ assert(n == r.n); assert(m == r.m); LMatrix res(n, m); for(int i = 0; i < n; i++){ for(int j = 0; j < m; j++){ res[i][j] = (v[i][j] + r[i][j]) % MOD; } } return res; } LMatrix operator-(const LMatrix &r) const{ assert(n == r.n); assert(m == r.m); LMatrix res(n, m); for(int i = 0; i < n; i++){ for(int j = 0; j < m; j++){ res[i][j] = (v[i][j] - r[i][j]) % MOD; if(res[i][j] < 0)res[i][j] += MOD; } } return res; } template LMatrix operator*(T a) const{ LMatrix res = *this; for(int i = 0; i < n; i++){ for(int j = 0; j < n; j++){ res[i][j] = a * res[i][j] % MOD; } } return res; } LMatrix inv2() const{ assert(n == 2 && m == 2); long long det = v[0][0] * v[1][1] % MOD - v[0][1] * v[1][0] % MOD; if(det < 0)det += MOD; assert(det != 0); LMatrix res(2, 2); long long inv = modinv(det, (long long)MOD); res[0][0] = v[1][1]; res[1][1] = v[0][0]; res[1][0] = - v[1][0]; res[0][1] = - v[0][1]; for(int i = 0; i < n; i++){ for(int j = 0; j < m; j++){ res[i][j] %= MOD; res[i][j] = res[i][j] * inv % MOD; if(res[i][j] < 0)res[i][j] += MOD; } } return res; } }; template LMatrix operator*(T a, const LMatrix b){ return b * a; } template LMatrix powerm(LMatrix &a, long long n){ long long tmp = n; LMatrix curr = a; LMatrix res(a.n); res.identity(); while(tmp){ if(tmp % 2 == 1){ res = res * curr; } curr = curr * curr; tmp /= 2; } return res; } int K; int ind(int i, int j, int k){ return i * K * K + j * K + k; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20); LL(n); cin >> K; LMatrix<> lm(K*K*K, K*K*K); rep(i, K)rep(j, K)rep(k, K){ lm[ind((i+1)%K, j, k)][ind(i, j, k)] += 1; lm[ind(i, (j+i)%K, k)][ind(i, j, k)] += 1; lm[ind(i, j, (k+j)%K)][ind(i, j, k)] += 1; } auto LM = powerm(lm, n); ll res = 0; vector v(K*K*K, 0); v[ind(0, 0, 0)] = 1; vector V(K*K*K, 0); rep(i, K*K*K){ rep(j, K*K*K){ V[i] = (V[i] + LM[i][j] * v[j] % mod) % mod; } } rep(i, K)rep(j, K)res = (res + V[ind(i, j, 0)]) % mod; cout << res << endl; return 0; }