#line 1 "cup.cpp" #include #pragma GCC optimize("unroll-loops") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=0){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template bool inside(T l,T x,T r){return l<=x&&x struct Binomial{ std::vector fact_vec, fact_inv_vec; void extend(int m = -1){ int n = fact_vec.size(); if (m == -1) m = n * 2; if (n >= m) return; fact_vec.resize(m); fact_inv_vec.resize(m); for (int i = n; i < m; i++){ fact_vec[i] = fact_vec[i - 1] * T(i); } fact_inv_vec[m - 1] = T(1) / fact_vec[m - 1]; for (int i = m - 1; i > n; i--){ fact_inv_vec[i - 1] = fact_inv_vec[i] * T(i); } } Binomial(int MAX = 2){ fact_vec.resize(1, T(1)); fact_inv_vec.resize(1, T(1)); extend(MAX + 1); } T fact(int i){ if (i < 0) return 0; while (int(fact_vec.size()) <= i) extend(); return fact_vec[i]; } T invfact(int i){ if (i < 0) return 0; while (int(fact_inv_vec.size()) <= i) extend(); return fact_inv_vec[i]; } T C(int a, int b){ if (a < b || b < 0) return 0; return fact(a) * invfact(b) * invfact(a - b); } T invC(int a, int b){ if (a < b || b < 0) return 0; return fact(b) * fact(a - b) *invfact(a); } T P(int a, int b){ if (a < b || b < 0) return 0; return fact(a) * invfact(a - b); } T inv(int a){ if (a < 0) return inv(-a) * T(-1); if (a == 0) return 1; return fact(a - 1) * invfact(a); } T Catalan(int n){ if (n < 0) return 0; return fact(2 * n) * invfact(n + 1) * invfact(n); } T narayana(int n, int k){ if (n <= 0 || n < k || k < 1) return 0; return C(n, k) * C(n, k - 1) * inv(n); } T Catalan_pow(int n,int d){ if (n < 0 || d < 0) return 0; if (d == 0){ if (n == 0) return 1; return 0; } return T(d) * inv(d + n) * C(2 * n + d - 1, n); } // retrun [x^a] 1/(1-x)^b T ruiseki(int a,int b){ if (a < 0 || b < 0) return 0; if (a == 0){ return 1; } return C(a + b - 1, b - 1); } // (a, b) -> (c, d) // always x + e >= y T mirror(int a, int b, int c, int d, int e = 0){ if (a + e < b || c + e < d) return 0; if (a > c || b > d) return 0; a += e; c += e; return C(c + d - a - b, c - a) - C(c + d - a - b, c - b + 1); } }; } #line 32 "cup.cpp" #include using mint = atcoder::modint998244353; void solve(); // CYAN / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N, K; cin >> N >> K; po167::Binomial table(N * 2); ll t = 1; mint ans = 1; while (true){ if (t * K > N) break; ans += table.ruiseki(N - t * K, t + 1); t++; } cout << ans.val() << "\n"; }