#include #include #include #include #include #include using namespace std; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(int i=0; i<(int)(n); i++) const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; void mul10(vector& A){ A.resize(A.size() + 9); rep(i,A.size()-1) A[i+1] += A[i]; for(int i=A.size()-1; i>=10; i--) A[i] -= A[i-10]; } vector powdig(int N){ if(N == 0){ return vector(1,1); } auto buf = powdig(N/2); auto A = atcoder::convolution(buf, buf); if(N%2 == 1) mul10(A); return A; } int main(){ int N, K; cin >> N >> K; auto d1 = powdig(N/2); auto d0 = d1; if(N%2 == 1) mul10(d0); int Z = N + 1; vector raizeK(Z+1); { vector lpf(Z+1); raizeK[1] = 1; for(int p=2; p<=Z; p++){ if(lpf[p]){ raizeK[p] = raizeK[lpf[p]] * raizeK[p/lpf[p]]; continue; } raizeK[p] = Modint(p).pow(K); for(int q=p*2; q<=Z; q+=p) lpf[q] = p; } } Modint ans = 0; rep(c0,99){ vector A(N/2+2); for(int c=c0; c<(int)d0.size(); c+=99) A[c/9] = d0[c]; vector B(N/2+2); rep(i,d1.size()) if((i*10+c0)%99 == 0) B[(i+8)/9] = d1[i]; A = atcoder::convolution(A, B); rep(i,A.size()) ans += A[i] * raizeK[i]; } ans *= Modint(9).pow(K); cout << ans.val() << endl; return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_instance;