#include #include using namespace std; const long long MOD = 998244353; long long modpow(long long a, long long b){ long long ans = 1; while (b > 0){ if (b % 2 == 1){ ans *= a; ans %= MOD; } a *= a; a %= MOD; b /= 2; } return ans; } int main(){ int N, K; cin >> N >> K; auto get = [&](int N, int m){ vector inv(N * 9 + 1); if (N > 0){ inv[1] = 1; } for (int i = 2; i <= N * 9; i++){ inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; } vector h(N * 9 + 1, 0); h[0] = 1; for (int i = 1; i <= N * 9; i++){ for (int j = 1; j <= 9; j++){ if (j <= i){ h[i] += h[i - j] * j; h[i] %= MOD; } } h[i] *= N; h[i] %= MOD; for (int j = 1; j <= 9; j++){ if (j <= i){ h[i] -= (i - j) * h[i - j] % MOD; if (h[i] < 0){ h[i] += MOD; } } } h[i] *= inv[i]; h[i] %= MOD; } int N2 = N / 11 + 1; vector> ans(99, vector(N2, 0)); for (int i = 0; i <= N * 9; i++){ ans[i * m % 99][i / 99] = h[i]; } return ans; }; vector> A = get((N + 1) / 2, 1); vector> B = get(N / 2, 10); vector g(N * 9 + 1, 0); for (int i = 0; i < 99; i++){ for (int j = 0; j < 99; j++){ if ((i + j) % 99 == 0){ vector C = atcoder::convolution(A[i], B[j]); int sz = C.size(); for (int k = 0; k < sz; k++){ if (i + j * 10 % 99 + k * 99 <= N * 9){ g[i + j * 10 % 99 + k * 99] += C[k]; g[i + j * 10 % 99 + k * 99] %= MOD; } } } } } long long ans = 0; for (int i = 0; i <= N * 9; i++){ ans += g[i] * modpow(i, K) % MOD; ans %= MOD; } cout << ans << endl; }