//#define _GLIBCXX_DEBUG #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < n; i++) #define rrep(i,n) for (int i = n-1; i >= 0; i--) #define rep2(i,a,b) for (int i = a; i < b; i++) #define rrep2(i,a,b) for (int i = a-1; i >= b; i--) #define all(v) v.begin(),v.end() #define rall(v) v.rbegin(),v.rend() #define minv(v) *min_element(all(v)) #define maxv(v) *max_element(all(v)) template bool chmax(T &a, T b){if (a < b){a = b;return true;} else return false;} template bool chmin(T &a, T b){if (a > b){a = b;return true;} else return false;} template T pow(T x, T y){if (y == 0) return 1.0;T p = pow(x,y/2);if (y%2 == 0) return p*p;else return p*p*x;} const int MAX = 200010; vector fac(MAX),finv(MAX); void set_fac(){ fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i-1]*i; finv[i] = finv[i-1] * mint(i).inv(); } } mint cmb_mint(int n, int r){ if (r < 0 || n < r) return 0; return fac[n]*finv[n-r]*finv[r]; } vector B(200010); mint b(int x, int y){ if (y < 0) B[y] = 0; else if (y == 0){ if (x >= 2) B[y] = 1; else B[y] = 0; } else B[y] = cmb_mint(x+y-2,y) + b(x,y-2); return B[y]; } mint a(int x, int y){ if (x == 0 || y == 0) return 1; if (y == 1){ if (x == 1) return 2; else return x-1; } return a(x,y-2) + cmb_mint(x+y-2,x-2) + 2*B[y-2]; } int main(){ set_fac(); int n,k; cin >> n >> k; b(k,n-k); cout << a(k,n-k).val() << endl; }