#include using namespace std; using ll = long long; long long mod = 998244353LL; class mint { long long x; public: mint(long long x=0) : x((x%mod+mod)%mod) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint& a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint& a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint& a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint& a) const { mint res(*this); return res+=a; } mint operator-(const mint& a) const { mint res(*this); return res-=a; } mint operator*(const mint& a) const { mint res(*this); return res*=a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2); } mint& operator/=(const mint& a) { return (*this) *= a.inv(); } mint operator/(const mint& a) const { mint res(*this); return res/=a; } friend ostream& operator<<(ostream& os, const mint& m){ os << m.x; return os; } }; int main(){ ll n, p; cin >> n >> p; vector fac(n+10); vector finv(n+10); fac[0] = mint(1); fac[1] = mint(1); for(ll i = 2;i <= n;i++){ fac[i] = fac[i-1]*i; } finv[n] = mint(1); finv[n] /= fac[n]; for(ll i = n;i > 0;i--){ finv[i-1] = finv[i]*i; } if(n >= p){ mint ans = fac[n]; mint del = 1; ll m = n; ans -= 1; while(m >= p){ del *= fac[m]*finv[p]*finv[m-p]; del *= fac[p-1]; ans -= del; m -= p; } cout << ans << endl; } else{ cout << fac[n]-1 << endl; } }