N,K=map(int,input().split())
P=998244353
def C(x,y):
	a=1
	for i in range(y):a=(a*(x-i)*pow(i+1,-1,P))%P
	return a
print([1,1,3,3,3,1,1][K]if N<2 else(C(2*N+4,K)+[C(N+2,K//2)*3,[0,C(N+1,K//2)*2][N%2]][K%2])*(P-1)//4%P)