#include using namespace std; using ll = long long; const ll modc = 998244353, MAX=1000000; vector f, finv; ll inv(ll x){ ll ans = 1, e = modc-2; x %= modc; while (e > 0){ if ((e & 1LL)) ans = (ans * x) % modc; e = e >> 1LL; x = (x*x) % modc; } return ans; } void init(){ f.resize(MAX+1); finv.resize(MAX+1); f[0] = 1; for (int i=1; i<=MAX; i++) f[i] = (f[i-1]*i) % modc; finv[MAX] = inv(f[MAX]); for (int i=MAX-1; i>=0; i--) finv[i] = (finv[i+1] * (i+1)) % modc; } ll C(ll n, ll k){ if (n < k || k < 0) return 0; return (((f[n] * finv[k]) % modc) * finv[n-k]) % modc; } ll P(ll n, ll k){ if (n < k || k < 0) return 0; return (f[n] * finv[n-k]) % modc; } ll H(ll n, ll k){ if (n == 0 && k == 0) return 1; return C(n+k-1, k); } int main(){ init(); ll N, M, K, ans=0, kf, kfp=1, cp=1; cin >> N >> K; if (K > N){ cout << (P(N, N) + modc - 1) % modc << endl; return 0; } kf = P(K-1, K-1); M = N/K; for (int i=0; i<=M; i++){ ans += (cp * kfp) % modc * inv(P(i, i)) % modc; ans %= modc; cp *= C(N-K*i, K); cp %= modc; kfp *= kf; kfp %= modc; } cout << (P(N, N) + modc - ans) % modc << endl; return 0; }