#include #include #include #include #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vmi = vector; using vvmi = vector; using vvvmi = vector; #define all(a) (a).begin(), (a).end() #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) int main(){ int n, k; cin >> n >> k; if(k == 1){ cout << 1 << endl; return 0; } vvmi dp1(2, vmi(k+1, mint(0))); dp1[0][1] = mint(1); rep2(i, 1, 2*n){ int a = i%2; rep(j, k+1){ if(j == 0){ dp1[a][j] = dp1[1-a][j+1]; }else if(j == k){ dp1[a][j] = dp1[1-a][j-1]; }else{ dp1[a][j] = dp1[1-a][j-1]+dp1[1-a][j+1]; } } } vvmi dp2(2, vmi(k, mint(0))); dp2[0][1] = mint(1); rep2(i, 1, 2*n){ int a = i%2; rep(j, k){ if(j == 0){ dp2[a][j] = dp2[1-a][j+1]; }else if(j == k-1){ dp2[a][j] = dp2[1-a][j-1]; }else{ dp2[a][j] = dp2[1-a][j-1]+dp2[1-a][j+1]; } } } cout << (dp1[1][0]-dp2[1][0]).val() << endl; return 0; }