import sys input = sys.stdin.readline MOD = 998244353 def precompute_fact(n): fact = [1]*(n+1) invf = [1]*(n+1) for i in range(1,n+1): fact[i] = fact[i-1]*i % MOD invf[n] = pow(fact[n], MOD-2, MOD) for i in range(n,0,-1): invf[i-1] = invf[i]*i % MOD return fact, invf def comb(n, k, fact, invf): if k<0 or k>n: return 0 return fact[n]*invf[k]%MOD*invf[n-k]%MOD def main(): N, K = map(int, input().split()) fact, invf = precompute_fact(2*N) total = comb(2*N, N, fact, invf) # M = K-1 までの振幅を「bad」とし、これを全体から引く M = K - 1 L = 2 * K # 反射の周期 R = (2*N)//L + 1 bad = 0 for r in range(-R, R+1): sign = -1 if (r % 2) else 1 a = comb(2*N, N + r*L, fact, invf) b = comb(2*N, N + r*L + M, fact, invf) bad = (bad + sign * (a - b)) % MOD ans = (total - bad) % MOD print(ans) if __name__ == "__main__": main()