#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } #include "atcoder/modint.hpp" #include "atcoder/convolution.hpp" using mint = atcoder::modint998244353; vector fpow(int k) { vector g(10,1), res(1,1); while(k){ if(k&1) res = atcoder::convolution(res, g); g = atcoder::convolution(g,g); k >>= 1; } return res; } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n,k; in(n,k); vector f0 = fpow(n/2); vector f1 = fpow((n+1)/2); vector c(n+1); vector g0(f0.size()); vector g1(f1.size()); rep(m,11){ g0.assign(f0.size(), 0); g1.assign(f1.size(), 0); for(int i=m; i<(int)f0.size(); i+=11) g0[i] = f0[i]; for(int i=m; i<(int)f1.size(); i+=11) g1[i] = f1[i]; vector g = atcoder::convolution(g0, g1); for(int i=0, j=0; i<(int)g.size(); i+=9, j++) c[j] += g[i]; } mint ans = 0; rep(i,c.size()) ans += mint(i*9).pow(k) * c[i]; out(ans.val()); }