#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } vector pow(vector v, int n){ vector ans = {mint(1)}; while (n > 0) { if (n&1) ans = atcoder::convolution(ans, v); v = atcoder::convolution(v, v); n >>= 1; } return ans; } int sum_digits(int n){ int sum = 0; while(n){ sum += n%10; n /= 10; } return sum; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, k; cin >> n >> k; vector x(10, mint(1)); auto v = pow(x, n/2); auto u = pow(x, (n+1)/2); mint ans = 0; for(int r = 0; r < 11; r++){ auto vv = v; auto uu = u; for(int i = 0; i < vv.size(); i++){ if(i%11 != r) vv[i] = 0; } for(int i = 0; i < uu.size(); i++){ if(i%11 != r) uu[i] = 0; } auto ww = atcoder::convolution(vv, uu); for(int i = 0; i < ww.size(); i++){ if(i%9 == 0) ans += ww[i]*(mint(i).pow(k)); } } cout << ans << endl; }